Perestyuk, M. O.; Slyusarchuk, V. Yu. Method of local linear approximation in the theory of nonlinear impulsive systems. (English. Ukrainian original) Zbl 07730055 Ukr. Math. J. 75, No. 1, 118-137 (2023); translation from Ukr. Mat. Zh. 75, No. 1, 105-120 (2023). Reviewer: J. Vasundhara Devi (Visakhapatnam) MSC: 34G20 34A37 34C11 PDFBibTeX XMLCite \textit{M. O. Perestyuk} and \textit{V. Yu. Slyusarchuk}, Ukr. Math. J. 75, No. 1, 118--137 (2023; Zbl 07730055); translation from Ukr. Mat. Zh. 75, No. 1, 105--120 (2023) Full Text: DOI
Perestyuk, M. O.; Slyusarchuk, V. Yu. Systems with perturbations of parameters. (English. Ukrainian original) Zbl 1511.93060 J. Math. Sci., New York 270, No. 2, 335-352 (2023); translation from Neliniĭni Kolyvannya 24, No. 2, 233-248 (2021). MSC: 93C25 93C73 34C25 PDFBibTeX XMLCite \textit{M. O. Perestyuk} and \textit{V. Yu. Slyusarchuk}, J. Math. Sci., New York 270, No. 2, 335--352 (2023; Zbl 1511.93060); translation from Neliniĭni Kolyvannya 24, No. 2, 233--248 (2021) Full Text: DOI
Perestyuk, M. O.; Slyusarchuk, V. Yu. Application of the Green-Samoilenko function and operator to the investigation of non-Lipschitz differential equations. (English. Ukrainian original) Zbl 1528.34040 Ukr. Math. J. 73, No. 12, 1937-1957 (2022); translation from Ukr. Mat. Zh. 73, No. 12, 1673-1690 (2021). Reviewer: Christos Sourdis (Athína) MSC: 34C45 PDFBibTeX XMLCite \textit{M. O. Perestyuk} and \textit{V. Yu. Slyusarchuk}, Ukr. Math. J. 73, No. 12, 1937--1957 (2022; Zbl 1528.34040); translation from Ukr. Mat. Zh. 73, No. 12, 1673--1690 (2021) Full Text: DOI
Perestyuk, N. A.; Skripnik, N. V. Averaging of fuzzy systems. (English. Russian original) Zbl 1425.34004 Ukr. Math. J. 70, No. 3, 477-494 (2018); translation from Ukr. Mat. Zh. 70, No. 3, 412-428 (2018). Reviewer: Andrej V. Plotnikov (Odessa) MSC: 34A07 34C29 PDFBibTeX XMLCite \textit{N. A. Perestyuk} and \textit{N. V. Skripnik}, Ukr. Math. J. 70, No. 3, 477--494 (2018; Zbl 1425.34004); translation from Ukr. Mat. Zh. 70, No. 3, 412--428 (2018) Full Text: DOI
Perestyuk, Mykola; Feketa, Petro On preservation of an exponentially stable invariant torus. (English) Zbl 1485.37026 Tatra Mt. Math. Publ. 63, 215-222 (2015). MSC: 37D10 34C45 34D10 PDFBibTeX XMLCite \textit{M. Perestyuk} and \textit{P. Feketa}, Tatra Mt. Math. Publ. 63, 215--222 (2015; Zbl 1485.37026) Full Text: Link
Mishura, Yuliya; Perestyuk, Mykola; Ragulina, Olena Ruin probability in a risk model with variable premium intensity and risky investments. (English) Zbl 1409.91142 Opusc. Math. 35, No. 3, 333-352 (2015). MSC: 91B30 60H10 60G46 PDFBibTeX XMLCite \textit{Y. Mishura} et al., Opusc. Math. 35, No. 3, 333--352 (2015; Zbl 1409.91142) Full Text: DOI arXiv
Perestyuk, M. O.; Feketa, P. V. On preservation of the invariant torus for multifrequency systems. (English. Ukrainian original) Zbl 1333.34071 Ukr. Math. J. 65, No. 11, 1661-1669 (2014); translation from Ukr. Mat. Zh. 65, No. 11, 1498-1505 (2013). MSC: 34C45 34C46 34D05 34E10 37C75 PDFBibTeX XMLCite \textit{M. O. Perestyuk} and \textit{P. V. Feketa}, Ukr. Math. J. 65, No. 11, 1661--1669 (2014; Zbl 1333.34071); translation from Ukr. Mat. Zh. 65, No. 11, 1498--1505 (2013) Full Text: DOI
Boichuk, A. A.; Mazko, A. G.; Martynyuk, A. A.; Perestyuk, M. O. Academician A.M. Samoilenko. (English) Zbl 1291.01034 Nonlinear Dyn. Syst. Theory 13, No. 2, 107-113 (2013). MSC: 01A70 34-03 35-03 PDFBibTeX XMLCite \textit{A. A. Boichuk} et al., Nonlinear Dyn. Syst. Theory 13, No. 2, 107--113 (2013; Zbl 1291.01034)
Perestyuk, M. O.; Mishura, Yu. S.; Shevchenko, G. M. On the distribution of a local time of a homogeneous diffusion process. (Ukrainian. English summary) Zbl 1289.60131 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2013, No. 10, 29-35 (2013). MSC: 60J60 34F05 PDFBibTeX XMLCite \textit{M. O. Perestyuk} et al., Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2013, No. 10, 29--35 (2013; Zbl 1289.60131)
Perestyuk, N. A.; Skripnik, N. V. Averaging of set-valued impulsive systems. (English. Ukrainian original) Zbl 1285.34039 Ukr. Math. J. 65, No. 1, 140-157 (2013); translation from Ukr. Mat. Zh. 65, No. 1, 126-142 (2013). Reviewer: Andrej V. Plotnikov (Odessa) MSC: 34C29 34A37 34A07 34A60 PDFBibTeX XMLCite \textit{N. A. Perestyuk} and \textit{N. V. Skripnik}, Ukr. Math. J. 65, No. 1, 140--157 (2013; Zbl 1285.34039); translation from Ukr. Mat. Zh. 65, No. 1, 126--142 (2013) Full Text: DOI
Perestyuk, Mykola; Kapustyan, Oleksiy Long-time behavior of evolution inclusion with non-damped impulsive effects. (English) Zbl 1300.34147 Mem. Differ. Equ. Math. Phys. 56, 89-113 (2012). MSC: 34G25 34A37 34D05 34D45 PDFBibTeX XMLCite \textit{M. Perestyuk} and \textit{O. Kapustyan}, Mem. Differ. Equ. Math. Phys. 56, 89--113 (2012; Zbl 1300.34147)
Samojlenko, A. M.; Perestyuk, M. O.; Gerasymenko, V. I.; Golod, P. I.; Samojlenko, V. G. Obituary: Ostap Stepanovych Parasyuk (20.12.1921 – 22.11.2007). (Ukrainian. English summary) Zbl 1265.01032 Visn., Mat. Mekh., Kyïv. Univ. Im. Tarasa Shevchenka 2012, No. 28, 58 (2012). MSC: 01A70 34-03 70-03 PDFBibTeX XMLCite \textit{A. M. Samojlenko} et al., Visn., Mat. Mekh., Kyïv. Univ. Im. Tarasa Shevchenka 2012, No. 28, 58 (2012; Zbl 1265.01032)
Perestyuk, Nikolai A.; Plotnikov, Viktor A.; Samoilenko, Anatolii M.; Skripnik, Natalia V. Differential equations with impulse effects. Multivalued right-hand sides with discontinuities. (English) Zbl 1234.34002 De Gruyter Studies in Mathematics 40. Berlin: de Gruyter (ISBN 978-3-11-021816-9/hbk; 978-3-11-021817-6/ebook). xiv, 307 p. (2011). Reviewer: Mouffak Benchohra (Sidi Bel Abbes) MSC: 34-02 34A37 34A60 34A36 34C25 34D20 34C29 PDFBibTeX XMLCite \textit{N. A. Perestyuk} et al., Differential equations with impulse effects. Multivalued right-hand sides with discontinuities. Berlin: de Gruyter (2011; Zbl 1234.34002) Full Text: DOI
Perestyuk, Mykola; Feketa, Petro Invariant sets of impulsive differential equations with particularities in \(\omega \)-limit set. (English) Zbl 1238.34022 Abstr. Appl. Anal. 2011, Article ID 970469, 14 p. (2011). Reviewer: Giovanni Giachetta (Camerino) MSC: 34A37 34D35 34C45 PDFBibTeX XMLCite \textit{M. Perestyuk} and \textit{P. Feketa}, Abstr. Appl. Anal. 2011, Article ID 970469, 14 p. (2011; Zbl 1238.34022) Full Text: DOI
Perestyuk, M. O.; Feketa, P. V. Invariant manifolds of one class of systems of impulsive differential equations. (English. Ukrainian original) Zbl 1334.34040 Nonlinear Oscil., N.Y. 13, No. 2, 260-273 (2010); translation from Neliniĭni Kolyvannya 13, No. 2, 240-252 (2010). MSC: 34A37 34C45 PDFBibTeX XMLCite \textit{M. O. Perestyuk} and \textit{P. V. Feketa}, Nonlinear Oscil., N.Y. 13, No. 2, 260--273 (2010; Zbl 1334.34040); translation from Neliniĭni Kolyvannya 13, No. 2, 240--252 (2010) Full Text: DOI
Perestyuk, M. O.; Slyusarchuk, V. Yu. Green-Samoilenko operator in the theory of invariant sets of nonlinear differential equations. (Ukrainian, English) Zbl 1224.34141 Ukr. Mat. Zh. 61, No. 7, 948-957 (2009); translation in Ukr. Math. J. 61, No. 7, 1123-1136 (2009). MSC: 34C46 34C45 PDFBibTeX XMLCite \textit{M. O. Perestyuk} and \textit{V. Yu. Slyusarchuk}, Ukr. Mat. Zh. 61, No. 7, 948--957 (2009; Zbl 1224.34141); translation in Ukr. Math. J. 61, No. 7, 1123--1136 (2009) Full Text: DOI
Perestyuk, M. O.; Feketa, P. V. Existence of an invariant torus for a class of systems of differential equations. (Ukrainian. English summary) Zbl 1199.34215 Nauk. Visn. Uzhgorod. Univ., Ser. Mat. 18, 106-112 (2009). MSC: 34C45 34C46 34D20 34D10 PDFBibTeX XMLCite \textit{M. O. Perestyuk} and \textit{P. V. Feketa}, Nauk. Visn. Uzhgorod. Univ., Ser. Mat. 18, 106--112 (2009; Zbl 1199.34215)
Perestyuk, M. O.; Baloha, S. I. Existence of an invariant torus for a class of systems of differential equations. (English. Ukrainian original) Zbl 1277.34077 Nonlinear Oscil., N.Y. 11, No. 4, 548-558 (2008); translation from Nelinijni Kolyvannya 11, No. 4, 520-529 (2008). MSC: 34D35 37D10 PDFBibTeX XMLCite \textit{M. O. Perestyuk} and \textit{S. I. Baloha}, Nonlinear Oscil., N.Y. 11, No. 4, 548--558 (2008; Zbl 1277.34077); translation from Nelinijni Kolyvannya 11, No. 4, 520--529 (2008) Full Text: DOI
Perestyuk, M. O.; Chernikova, O. S. Some modern aspects of the theory of impulsive differential equations. (Ukrainian, English) Zbl 1164.34300 Ukr. Mat. Zh. 60, No. 1, 81-94 (2008); translation in Ukr. Math. J. 60, No. 1, 91-107 (2008). MSC: 34-02 34A37 34K45 PDFBibTeX XMLCite \textit{M. O. Perestyuk} and \textit{O. S. Chernikova}, Ukr. Mat. Zh. 60, No. 1, 81--94 (2008; Zbl 1164.34300); translation in Ukr. Math. J. 60, No. 1, 91--107 (2008) Full Text: DOI
Perestyuk, N. A.; Plotnikov, V. A.; Samoĭlenko, A. M.; Skripnik, N. V. Impulsive differential equations with a multivalued and discontinuous right-hand side. (Импульсные дифференциальные уравнения с многозначной и разрывной правой частью.) (Russian) Zbl 1199.34002 Pratsi Instytutu Matematyky Natsional’noïAkademiïNauk Ukraïny. Matematyka ta ïïZastosuvannya 67. Kyïv: Instytut Matematyky NAN Ukraïny (ISBN 978-966-02-4592-1). 428 p. (2007). Reviewer: Mikhail P. Moklyachuk (Kyïv) MSC: 34-02 34A37 34A60 34H05 49J53 93C15 PDFBibTeX XMLCite \textit{N. A. Perestyuk} et al., Импульсные дифференциальные уравнения с многозначной и разрывной правой частью (Russian). Kyïv: Instytut Matematyky NAN Ukraïny (2007; Zbl 1199.34002)
Korol’, I. I.; Perestyuk, M. O. The existence and the approximate construction of solutions of boundary-value problems. (Ukrainian. English summary) Zbl 1150.34335 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2007, No. 11, 17-22 (2007). MSC: 34B15 34A45 PDFBibTeX XMLCite \textit{I. I. Korol'} and \textit{M. O. Perestyuk}, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2007, No. 11, 17--22 (2007; Zbl 1150.34335)
Korol’, I. I.; Perestyuk, M. O. Once again on Samoilenko’s numerical-analytic method of successive periodic approximations. (Ukrainian, English) Zbl 1127.34024 Ukr. Mat. Zh. 58, No. 4, 472-488 (2006); translation in Ukr. Math. J. 58, No. 4, 529-550 (2006). MSC: 34C25 34A45 PDFBibTeX XMLCite \textit{I. I. Korol'} and \textit{M. O. Perestyuk}, Ukr. Mat. Zh. 58, No. 4, 472--488 (2006; Zbl 1127.34024); translation in Ukr. Math. J. 58, No. 4, 529--550 (2006) Full Text: DOI
Perestyuk, M. O.; Baloga, S. I. Reduction of a system of differential equations to the \(L\)-diagonal form. (Ukrainian. English summary) Zbl 1120.34318 Nauk. Visn. Uzhgorod. Univ., Ser. Mat. 10-11, 88-93 (2005). MSC: 34C20 PDFBibTeX XMLCite \textit{M. O. Perestyuk} and \textit{S. I. Baloga}, Nauk. Visn. Uzhgorod. Univ., Ser. Mat. 10--11, 88--93 (2005; Zbl 1120.34318)
Vlasenko, L. A.; Perestyuk, N. A. On the solvability of impulsive differential-algebraic equations. (Russian, English) Zbl 1102.34004 Ukr. Mat. Zh. 57, No. 4, 458-468 (2005); translation in Ukr. Math. J. 57, No. 4, 551-564 (2005). MSC: 34A09 34A37 PDFBibTeX XMLCite \textit{L. A. Vlasenko} and \textit{N. A. Perestyuk}, Ukr. Mat. Zh. 57, No. 4, 458--468 (2005; Zbl 1102.34004); translation in Ukr. Math. J. 57, No. 4, 551--564 (2005) Full Text: DOI
Vlasenko, L. A.; Perestyuk, N. A. Impulsive degenerate differential equations in Banach spaces. (Russian. English summary) Zbl 1098.34555 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2005, No. 6, 13-18 (2005). MSC: 34G20 34A37 35R12 PDFBibTeX XMLCite \textit{L. A. Vlasenko} and \textit{N. A. Perestyuk}, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2005, No. 6, 13--18 (2005; Zbl 1098.34555)
Perestyuk, M. O.; Svishchuk, M. Ya. Collection of problems in differential equations. (Zbirnyk zadach z dyferentsial’nykh rivnyan’.) (Ukrainian) Zbl 1330.34003 (ISBN 966-95255-3-5). 224 p. (2004). MSC: 34-01 PDFBibTeX XML
Kryvosheya, S. A.; Perestyuk, M. O.; Burym, V. M. Differential and integral equations. (Dyferentsial’ni ta integral’ni rivnyannya.) (Ukrainian) Zbl 1330.34002 Kiev: Libid’ (ISBN 966-06-0348-7). 408 p. (2004). MSC: 34-01 45-01 PDFBibTeX XMLCite \textit{S. A. Kryvosheya} et al., Dyferentsial'ni ta integral'ni rivnyannya (Ukrainian). Kiev: Libid' (2004; Zbl 1330.34002)
Matarazzo, Giovanni; Perestyuk, Nikolai A.; Chernikova, Olga S. Stability of sets for impulsive differential systems. (English) Zbl 1150.34495 Miskolc Math. Notes 5, No. 2, 193-201 (2004). MSC: 34D20 PDFBibTeX XMLCite \textit{G. Matarazzo} et al., Miskolc Math. Notes 5, No. 2, 193--201 (2004; Zbl 1150.34495)
Kapustyan, A. V.; Perestyuk, N. A. Global attractor of an evolution inclusion with impulse influence at fixed moments of time. (Russian, English) Zbl 1078.34043 Ukr. Mat. Zh. 55, No. 8, 1058-1068 (2003); translation in Ukr. Math. J. 55, No. 8, 1283-1294 (2003). MSC: 34G25 34A37 34D45 PDFBibTeX XMLCite \textit{A. V. Kapustyan} and \textit{N. A. Perestyuk}, Ukr. Mat. Zh. 55, No. 8, 1058--1068 (2003; Zbl 1078.34043); translation in Ukr. Math. J. 55, No. 8, 1283--1294 (2003) Full Text: DOI
Samoilenko, A. M.; Kryvosheya, S. A.; Perestyuk, M. O. Differential equations in problems. (Dyferentsial’ni rivnyannya v zadachakh.) (Ukrainian) Zbl 1330.34004 Kiev: Libid’ (ISBN 966-06-0292-8). 504 p. (2003). MSC: 34-01 PDFBibTeX XMLCite \textit{A. M. Samoilenko} et al., Dyferentsial'ni rivnyannya v zadachakh (Ukrainian). Kiev: Libid' (2003; Zbl 1330.34004)
Samoilenko, A. M.; Perestyuk, M. O.; Parasyuk, I. O. Differential equations. 2nd revised ed. (Dyferentsial’ni rivnyannya.) (Ukrainian) Zbl 1330.34005 Kiev: Libid’ (ISBN 966-06-0249-9). 600 p. (2003). MSC: 34-01 35-01 PDFBibTeX XMLCite \textit{A. M. Samoilenko} et al., Dyferentsial'ni rivnyannya (Ukrainian). 2nd revised ed. Kiev: Libid' (2003; Zbl 1330.34005)
Perestyuk, N. A.; Slusarchuk, V. Yu. Oscillation of nonlinear differential-integral equation in a Banach space with respect to its subspace. (English) Zbl 1026.34041 Math. Notes, Miskolc 4, No. 1, 53-64 (2003). MSC: 34C15 34G20 PDFBibTeX XMLCite \textit{N. A. Perestyuk} and \textit{V. Yu. Slusarchuk}, Math. Notes, Miskolc 4, No. 1, 53--64 (2003; Zbl 1026.34041)
Perestyuk, M. O.; Chernikova, O. S. A study of stability of integral sets for impulsive differential systems. (English) Zbl 1104.34320 Ukrainian mathematical congress – 2001, Kiev, Ukraine, August 21–23, 2001. Proceedings. Section 3. Differential equations and nonlinear oscillation. Kyïv: Instytut Matematyky NAN Ukraïny (ISBN 966-02-2648-9). 101-106 (2002). MSC: 34C45 34A37 34D20 PDFBibTeX XMLCite \textit{M. O. Perestyuk} and \textit{O. S. Chernikova}, in: Ukraïns'kyj matematychnyj kongres -- 2001. Pratsi. Sektsiya 3. Dyferentsial'ni rivnyannya i nelinijni kolyvannya. Kyïv: Instytut Matematyky NAN Ukraïny. 101--106 (2002; Zbl 1104.34320)
Bobochko, V. M.; Perestyuk, M. O. Asymptotic integration of Liouville equations with evolution points. (Asimptotichne integruvannya rivnyannya Liuvillya z tochkami zvortu.) (Ukrainian) Zbl 1032.34001 Kyïv: Naukova Dumka. 310 p. (2002). Reviewer: I.O.Parasyuk (Kyïv) MSC: 34-02 34E20 34B30 PDFBibTeX XMLCite \textit{V. M. Bobochko} and \textit{M. O. Perestyuk}, Asimptotichne integruvannya rivnyannya Liuvillya z tochkami zvortu (Ukrainian). Kyïv: Naukova Dumka (2002; Zbl 1032.34001)
Samoilenko, A. M.; Perestyuk, M. O.; Kyrychenko, B. B.; Danylov, V. Ya. Dmytro Ivanovych Martynyuk (on the 60th anniversary of his birth). (Ukrainian) Zbl 1003.01511 Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2002, No. 1, 7-16 (2002). MSC: 01A70 35-03 34-03 PDFBibTeX XMLCite \textit{A. M. Samoilenko} et al., Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2002, No. 1, 7--16 (2002; Zbl 1003.01511)
Mitropol’skiĭ, Yu. A.; Samoĭlenko, A. M.; Perestyuk, M. O.; Danilov, V. Ya. Dmitro Ivanovich Martynyuk (on the occasion of his 60th birthday). (English. Ukrainian original) Zbl 1071.01516 Ukr. Math. J. 54, No. 3, 355-357 (2002); translation from Ukr. Mat. Zh. 54, No. 3, 291-292 (2002). MSC: 01A70 34-03 PDFBibTeX XMLCite \textit{Yu. A. Mitropol'skiĭ} et al., Ukr. Mat. Zh. 54, No. 3, 291--292 (2002; Zbl 1071.01516); translation from Ukr. Mat. Zh. 54, No. 3, 291--292 (2002)
Perestyuk, M. O.; Chernikova, O. S. On stability of integral sets of impulsive differential systems. (English. Ukrainian original) Zbl 1015.34042 Ukr. Math. J. 54, No. 2, 306-315 (2002); translation from Ukr. Mat. Zh. 54, No. 2, 249-257 (2002). Reviewer: I.O.Parasyuk (Kyïv) MSC: 34D20 34D35 34C45 34A37 PDFBibTeX XMLCite \textit{M. O. Perestyuk} and \textit{O. S. Chernikova}, Ukr. Mat. Zh. 54, No. 2, 249--257 (2002; Zbl 1015.34042); translation from Ukr. Mat. Zh. 54, No. 2, 249--257 (2002) Full Text: DOI
Perestyuk, N. A.; Samojlenko, A. M.; Stanzhitskij, A. N. On the existence of periodic solutions to certain classes of systems of differential equations with random pulse influence. (English. Russian original) Zbl 0999.34058 Ukr. Math. J. 53, No. 8, 1266-1289 (2001); translation from Ukr. Mat. Zh. 53, No. 8, 1061-1079 (2001). Reviewer: I.O.Parasyuk (Kyïv) MSC: 34F05 34K45 34C25 60H10 PDFBibTeX XMLCite \textit{N. A. Perestyuk} et al., Ukr. Mat. Zh. 53, No. 8, 1061--1079 (2001; Zbl 0999.34058); translation from Ukr. Mat. Zh. 53, No. 8, 1061--1079 (2001) Full Text: DOI
Perestyuk, Nikolai A.; Chernikova, Olga S. On the stability of integral sets of impulsive differential systems. (English) Zbl 1012.34043 Math. Notes, Miskolc 2, No. 1, 49-60 (2001). MSC: 34D20 PDFBibTeX XMLCite \textit{N. A. Perestyuk} and \textit{O. S. Chernikova}, Math. Notes, Miskolc 2, No. 1, 49--60 (2001; Zbl 1012.34043)
Perestyuk, M. O.; Chernikova, O. S. On the stability of integral sets of impulse systems of differential equations. (Ukrainian. English summary) Zbl 0991.34050 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2001, No. 4, 29-34 (2001). Reviewer: I.O.Parasyuk (Kyïv) MSC: 34D35 34A37 34C45 34A60 PDFBibTeX XMLCite \textit{M. O. Perestyuk} and \textit{O. S. Chernikova}, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2001, No. 4, 29--34 (2001; Zbl 0991.34050)
Perestyuk, M. O.; Chernikova, O. S. On the stability of invariant sets of discontinuous dynamical systems. (English. Ukrainian original) Zbl 0992.34036 Ukr. Math. J. 53, No. 1, 91-98 (2001); translation from Ukr. Mat. Zh. 53, No. 1, 78-84 (2001). Reviewer: I.O.Parasyuk (Kyïv) MSC: 34D20 34A37 34D35 34A36 PDFBibTeX XMLCite \textit{M. O. Perestyuk} and \textit{O. S. Chernikova}, Ukr. Mat. Zh. 53, No. 1, 78--84 (2001; Zbl 0992.34036); translation from Ukr. Mat. Zh. 53, No. 1, 78--84 (2001) Full Text: DOI
Perestyuk, N. A.; Bobochko, V. N. A system of differential equations with a turning point and zero elements of the spectrum. (Russian. English summary) Zbl 0985.34048 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2001, No. 6, 12-17 (2001). MSC: 34E20 34E05 34L05 PDFBibTeX XMLCite \textit{N. A. Perestyuk} and \textit{V. N. Bobochko}, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2001, No. 6, 12--17 (2001; Zbl 0985.34048)
Perestyuk, Mykola O.; Cherevko, Igor M. The center manifolds of singularly perturbed functional-differential equations. (Ukrainian. English summary) Zbl 0984.34066 Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2001, No. 2, 159-169 (2001). MSC: 34K26 34E20 PDFBibTeX XMLCite \textit{M. O. Perestyuk} and \textit{I. M. Cherevko}, Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2001, No. 2, 159--169 (2001; Zbl 0984.34066)
Perestyuk, M. O.; Stanzhyts’kyj, O. M. Periodic solutions to systems of differential equations with a random impulse action. (English. Ukrainian original) Zbl 0999.34057 Theory Probab. Math. Stat. 63, 131-136 (2001); translation from Teor. Jmovirn. Mat. Stat. 63, 119-124 (2000). Reviewer: A.D.Borisenko (Kyïv) MSC: 34F05 34C25 34K45 34K50 PDFBibTeX XMLCite \textit{M. O. Perestyuk} and \textit{O. M. Stanzhyts'kyj}, Teor. Ĭmovirn. Mat. Stat. 63, 119--124 (2000; Zbl 0999.34057); translation from Teor. Jmovirn. Mat. Stat. 63, 119--124 (2000)
Dudzyanyj, S. I.; Perestyuk, M. O. On the stability of an invariant torus for a class of systems with pulse perturbations. (Ukrainian) Zbl 0915.34046 Ukr. Mat. Zh. 50, No. 3, 338-349 (1998). Reviewer: I.O.Parasyuk (Kyïv) MSC: 34D35 34A37 34C30 PDFBibTeX XMLCite \textit{S. I. Dudzyanyj} and \textit{M. O. Perestyuk}, Ukr. Mat. Zh. 50, No. 3, 338--349 (1998; Zbl 0915.34046) Full Text: DOI
Perestjuk, N. A.; Samojlenko, V. G.; Elgondiev, K. K. Succession mapping and periodic solutions to systems of differential equations with impulsive effect. (Russian) Zbl 0939.34008 Nelinijni Kolyvannya 1998, No. 1, 44-50 (1998). Reviewer: A. A. Martynyuk (Kyïv) MSC: 34A37 34C25 PDFBibTeX XMLCite \textit{N. A. Perestjuk} et al., Neliniĭni Kolyvannya 1998, No. 1, 44--50 (1998; Zbl 0939.34008)
Dudzyanyj, S. I.; Perestyuk, M. O. On the stability of a trivial invariant torus of a class of impulse systems. (English. Ukrainian original) Zbl 0933.34057 Ukr. Math. J. 50, No. 3, 387-399 (1998); translation from Ukr. Mat. Zh. 50, No. 3, 338-349 (1998). MSC: 34D35 34A37 34C30 PDFBibTeX XMLCite \textit{S. I. Dudzyanyj} and \textit{M. O. Perestyuk}, Ukr. Mat. Zh. 50, No. 3, 338--349 (1998; Zbl 0933.34057); translation from Ukr. Mat. Zh. 50, No. 3, 338--349 (1998) Full Text: DOI
Perestyuk, N. A.; Dudzyanyi, S. I. On stability of invariant tori. (Ukrainian) Zbl 0897.34048 Ukr. Mat. Zh. 49, No. 9, 1213-1222 (1997). Reviewer: I.O.Parasyuk (Kyïv) MSC: 34D35 34C45 PDFBibTeX XMLCite \textit{N. A. Perestyuk} and \textit{S. I. Dudzyanyi}, Ukr. Mat. Zh. 49, No. 9, 1213--1222 (1997; Zbl 0897.34048) Full Text: DOI
Gorbachuk, T. V.; Perestyuk, N. A. On the existence of disconnected limit cycles for a system of differential equations with pulse perturbation. (Russian) Zbl 0897.34028 Ukr. Mat. Zh. 49, No. 8, 1127-1134 (1997). Reviewer: I.O.Parasyuk (Kyïv) MSC: 34C05 34A37 34C28 37G15 PDFBibTeX XMLCite \textit{T. V. Gorbachuk} and \textit{N. A. Perestyuk}, Ukr. Mat. Zh. 49, No. 8, 1127--1134 (1997; Zbl 0897.34028) Full Text: DOI
Perestyuk, N. A.; Tkach, A. B. Periodic solutions of a weakly nonlinear system of partial differential equations with pulse influence. (Russian) Zbl 0886.35015 Ukr. Mat. Zh. 49, No. 4, 601-605 (1997). Reviewer: I.O.Parasyuk (Kyïv) MSC: 35B10 34A37 35A35 PDFBibTeX XMLCite \textit{N. A. Perestyuk} and \textit{A. B. Tkach}, Ukr. Mat. Zh. 49, No. 4, 601--605 (1997; Zbl 0886.35015) Full Text: DOI
Perestyuk, N. A.; Dudzyanyi, S. I. On the stability of invariant tori. (English. Ukrainian original) Zbl 0933.34056 Ukr. Math. J. 49, No. 9, 1365-1376 (1997); translation from Ukr. Mat. Zh. 49, No. 9, 1213-1222 (1997). MSC: 34D35 34C45 PDFBibTeX XMLCite \textit{N. A. Perestyuk} and \textit{S. I. Dudzyanyi}, Ukr. Mat. Zh. 49, No. 9, 1213--1222 (1997; Zbl 0933.34056); translation from Ukr. Mat. Zh. 49, No. 9, 1213--1222 (1997) Full Text: DOI
Gorbachuk, T. V.; Perestyuk, N. A. On the existence of discontinuous limit cycles for one system of differential equations with pulse influence. (English. Russian original) Zbl 0933.34018 Ukr. Math. J. 49, No. 8, 1266-1275 (1997); translation from Ukr. Mat. Zh. 49, No. 8, 1127-1134 (1997). MSC: 34C05 34A37 34C28 37G15 PDFBibTeX XMLCite \textit{T. V. Gorbachuk} and \textit{N. A. Perestyuk}, Ukr. Mat. Zh. 49, No. 8, 1127--1134 (1997; Zbl 0933.34018); translation from Ukr. Mat. Zh. 49, No. 8, 1127--1134 (1997) Full Text: DOI
Perestyuk, N. A.; Tkach, A. B. Periodic solutions of a weakly nonlinear system of partial differential equations with pulse influence. (English. Russian original) Zbl 0932.35014 Ukr. Math. J. 49, No. 4, 665-671 (1997); translation from Ukr. Mat. Zh. 49, No. 4, 601-605 (1997). MSC: 35B10 34A37 35A35 PDFBibTeX XMLCite \textit{N. A. Perestyuk} and \textit{A. B. Tkach}, Ukr. Mat. Zh. 49, No. 4, 601--605 (1997; Zbl 0932.35014); translation from Ukr. Mat. Zh. 49, No. 4, 601--605 (1997) Full Text: DOI
Perestyuk, N. A.; Chernikova, O. S. Stability of solutions of impulsive systems. (Russian) Zbl 0889.34046 Ukr. Mat. Zh. 49, No. 1, 98-111 (1997). Reviewer: I.O.Parasyuk (Kyïv) MSC: 34D20 34D08 93D99 34A37 PDFBibTeX XMLCite \textit{N. A. Perestyuk} and \textit{O. S. Chernikova}, Ukr. Mat. Zh. 49, No. 1, 98--111 (1997; Zbl 0889.34046) Full Text: DOI
Perestyuk, M.; Ronto, A. Numerical-analytic method for the equation of nonlinear oscillator. (English) Zbl 0912.65070 Publ. Univ. Miskolc, Ser. D, Nat. Sci., Math. 36, No. 2, 115-124 (1996). Reviewer: Zoltán Szabó (Debrecen) MSC: 65L10 34B15 34C25 PDFBibTeX XMLCite \textit{M. Perestyuk} and \textit{A. Ronto}, Publ. Univ. Miskolc, Ser. D, Nat. Sci., Math. 36, No. 2, 115--124 (1996; Zbl 0912.65070)
Samoilenko, A. M.; Perestyuk, N. A. [Trofimchuk, S. I.] Impulsive differential equations. Transl. from the Russian by Yury Chapovsky. (English) Zbl 0837.34003 World Scientific Series on Nonlinear Science. Series A. 14. Singapore: World Scientific. ix, 462 p. (1995). Reviewer: Yu.V.Rogovchenko (Firenze) MSC: 34-02 34A37 PDFBibTeX XMLCite \textit{A. M. Samoilenko} and \textit{N. A. Perestyuk}, Impulsive differential equations. Transl. from the Russian by Yury Chapovsky. Singapore: World Scientific (1995; Zbl 0837.34003)
Perestyuk, N. A.; Ronto, A. N. On a method for construction of successive approximations for investigating the multipoint boundary value problem. (English. Russian original) Zbl 0938.34012 Ukr. Math. J. 47, No. 9, 1415-1426 (1995); translation from Ukr. Mat. Zh. 47, No. 9, 1243-1253 (1995). Reviewer: I.O.Parasyuk (Kyïv) MSC: 34B10 34A45 47J25 PDFBibTeX XMLCite \textit{N. A. Perestyuk} and \textit{A. N. Ronto}, Ukr. Mat. Zh. 47, No. 9, 1243--1253 (1995; Zbl 0938.34012); translation from Ukr. Mat. Zh. 47, No. 9, 1243--1253 (1995) Full Text: DOI
Perestyuk, N. A.; Slyusarchuk, V. E. Periodic solutions to nonlinear differential equations with pulse influence in a Banach space. (English) Zbl 0938.34057 Ukr. Math. J. 47, No. 3, 430-442 (1995) and Ukr. Mat. Zh. 47, No. 3, 370-380 (1995). Reviewer: I.O.Parasyuk (Kyïv) MSC: 34G20 34A37 34B10 PDFBibTeX XMLCite \textit{N. A. Perestyuk} and \textit{V. E. Slyusarchuk}, Ukr. Mat. Zh. 47, No. 3, 370--380 (1995; Zbl 0938.34057) Full Text: DOI
Akhmetov, M. U.; Perestyuk, N. A.; Tleubergenova, M. A. Control of a linear pulse systems. (English. Russian original) Zbl 0938.34059 Ukr. Math. J. 47, No. 3, 360-368 (1995); translation from Ukr. Mat. Zh. 47, No. 3, 307-314 (1995). Reviewer: I.O.Parasyuk (Kyïv) MSC: 34H05 93C15 49J15 34B37 34A37 PDFBibTeX XMLCite \textit{M. U. Akhmetov} et al., Ukr. Mat. Zh. 47, No. 3, 307--314 (1995; Zbl 0938.34059); translation from Ukr. Mat. Zh. 47, No. 3, 307--314 (1995) Full Text: DOI
Perestyuk, N. A.; Chernikova, O. S. On invariance of some properties of solutions under perturbation of a pulse system of differential equations. (English. Russian original) Zbl 0842.34019 Ukr. Math. J. 46, No. 12, 1899-1906 (1994); translation from Ukr. Mat. Zh. 46, No. 12, 1707-1713 (1994). MSC: 34A37 34C11 34D05 34D10 PDFBibTeX XMLCite \textit{N. A. Perestyuk} and \textit{O. S. Chernikova}, Ukr. Mat. Zh. 46, No. 12, 1707--1713 (1994; Zbl 0842.34019); translation from Ukr. Mat. Zh. 46, No. 12, 1707--1713 (1994) Full Text: DOI
Asrorov, F. A.; Perestyuk, N. A. Green-Samojlenko function and existence of integral sets of linear extensions of nonautonomous equations. (English. Russian original) Zbl 0851.34049 Ukr. Math. J. 46, No. 8, 1172-1177 (1994); translation from Ukr. Mat. Zh. 46, No. 8, 1067-1071 (1994). MSC: 34C30 34B27 34D35 PDFBibTeX XMLCite \textit{F. A. Asrorov} and \textit{N. A. Perestyuk}, Ukr. Mat. Zh. 46, No. 8, 1067--1071 (1994; Zbl 0851.34049); translation from Ukr. Mat. Zh. 46, No. 8, 1067--1071 (1994) Full Text: DOI
Asrorov, F. A.; Perestyuk, N. A. Green-Samojlenko function and existence of integral sets of linear extensions of nonautonomous equations. (Russian. English summary) Zbl 0839.34056 Ukr. Mat. Zh. 46, No. 8, 1067-1071 (1994). MSC: 34C30 34B27 34D35 PDFBibTeX XMLCite \textit{F. A. Asrorov} and \textit{N. A. Perestyuk}, Ukr. Mat. Zh. 46, No. 8, 1067--1071 (1994; Zbl 0839.34056) Full Text: DOI
Akhmetov, M. U.; Perestyuk, N. A. On a comparison method for pulse systems in the space \(\mathbb{R}^ n\). (English. Russian original) Zbl 0810.34010 Ukr. Math. J. 45, No. 6, 826-836 (1993); translation from Ukr. Mat. Zh. 45, No. 6, 753-762 (1993). MSC: 34A37 PDFBibTeX XMLCite \textit{M. U. Akhmetov} and \textit{N. A. Perestyuk}, Ukr. Math. J. 45, No. 6, 826--836 (1993; Zbl 0810.34010); translation from Ukr. Mat. Zh. 45, No. 6, 753--762 (1993) Full Text: DOI
Akhmetov, M. U.; Perestyuk, N. A. Differential properties of solutions and integral surfaces for nonlinear impulse systems. (English. Russian original) Zbl 0799.34007 Differ. Equations 28, No. 4, 445-453 (1992); translation from Differ. Uravn. 28, No. 4, 555-566 (1992). MSC: 34A37 34C30 PDFBibTeX XMLCite \textit{M. U. Akhmetov} and \textit{N. A. Perestyuk}, Differ. Equations 28, No. 4, 555--566 (1992; Zbl 0799.34007); translation from Differ. Uravn. 28, No. 4, 555--566 (1992)
Akhmetov, M. U.; Perestyuk, N. A. Integral sets of quasilinear pulse systems. (English. Russian original) Zbl 0786.34005 Ukr. Math. J. 44, No. 1, 1-7 (1992); translation from Ukr. Mat. Zh. 44, No. 1, 5-11 (1992). MSC: 34A37 34C30 34C45 34D10 PDFBibTeX XMLCite \textit{M. U. Akhmetov} and \textit{N. A. Perestyuk}, Ukr. Math. J. 44, No. 1, 1--7 (1992; Zbl 0786.34005); translation from Ukr. Mat. Zh. 44, No. 1, 5--11 (1992) Full Text: DOI
Akhmetov, M. U.; Perestyuk, N. A. Periodic and almost periodic solutions of strongly nonlinear impulsive systems. (English. Russian original) Zbl 0791.34034 J. Appl. Math. Mech. 56, No. 6, 829-837 (1992); translation from Prikl. Mat. Mekh. 56, No. 6, 926-934 (1992). MSC: 34C25 34C27 34A37 34D20 PDFBibTeX XMLCite \textit{M. U. Akhmetov} and \textit{N. A. Perestyuk}, J. Appl. Math. Mech. 56, No. 6, 1 (1992; Zbl 0791.34034); translation from Prikl. Mat. Mekh. 56, No. 6, 926--934 (1992) Full Text: DOI
Vyshenskaya, O. V.; Perestyuk, N. A. Integral sets of a class of discontinuous dynamical systems. (Russian) Zbl 0766.34025 Ukr. Mat. Zh. 44, No. 5, 589-595 (1992). Reviewer: J.Diblík (Brno) MSC: 34C30 34A37 PDFBibTeX XMLCite \textit{O. V. Vyshenskaya} and \textit{N. A. Perestyuk}, Ukr. Mat. Zh. 44, No. 5, 589--595 (1992; Zbl 0766.34025) Full Text: DOI
Akhmetov, M. U.; Perestyuk, N. A. Integral sets of quasilinear impulse systems. (Russian) Zbl 0758.34007 Ukr. Mat. Zh. 44, No. 1, 5-11 (1992). Reviewer: S.I.Trofimchuk (Kiev) MSC: 34A37 34C30 34C45 34D10 PDFBibTeX XMLCite \textit{M. U. Akhmetov} and \textit{N. A. Perestyuk}, Ukr. Mat. Zh. 44, No. 1, 5--11 (1992; Zbl 0758.34007) Full Text: DOI
Vyshenskaya, O. V.; Perestyuk, N. A. Integral sets of a class of discontinuous dynamical systems. (English. Russian original) Zbl 0782.34053 Ukr. Math. J. 44, No. 5, 528-534 (1992); translation from Ukr. Mat. Zh. 44, No. 5, 589-595 (1992). MSC: 34C30 34A37 PDFBibTeX XMLCite \textit{O. V. Vyshenskaya} and \textit{N. A. Perestyuk}, Ukr. Math. J. 44, No. 5, 528--534 (1992; Zbl 0782.34053); translation from Ukr. Mat. Zh. 44, No. 5, 589--595 (1992) Full Text: DOI
Akhmetov, M. U.; Perestyuk, N. A. Periodic solutions of quasilinear impulse systems in a critical case. (English. Russian original) Zbl 0739.34014 Ukr. Math. J. 43, No. 3, 273-279 (1991); translation from Ukr. Mat. Zh. 43, No. 3, 308-315 (1991). MSC: 34A37 34C25 PDFBibTeX XMLCite \textit{M. U. Akhmetov} and \textit{N. A. Perestyuk}, Ukr. Math. J. 43, No. 3, 273--279 (1991; Zbl 0739.34014); translation from Ukr. Mat. Zh. 43, No. 3, 308--315 (1991) Full Text: DOI
Akhmetov, M. U.; Perestyuk, N. A. Asymptotic representation of solutions of regularly perturbed systems of differential equations with non-classical right-hand side. (Russian) Zbl 0745.34010 Ukr. Mat. Zh. 43, No. 10, 1298-1304 (1991). Reviewer: Yu.V.Rogovchenko (Kiev) MSC: 34A37 34E05 PDFBibTeX XMLCite \textit{M. U. Akhmetov} and \textit{N. A. Perestyuk}, Ukr. Mat. Zh. 43, No. 10, 1298--1304 (1991; Zbl 0745.34010) Full Text: DOI
Akhmetov, M. U.; Perestyuk, N. A. Periodic solutions of quasilinear impulse systems in a critical case. (Russian) Zbl 0724.34009 Ukr. Mat. Zh. 43, No. 3, 308-315 (1991). Reviewer: A.D.Borisenko (Kiev) MSC: 34A37 34C25 PDFBibTeX XMLCite \textit{M. U. Akhmetov} and \textit{N. A. Perestyuk}, Ukr. Mat. Zh. 43, No. 3, 308--315 (1991; Zbl 0724.34009) Full Text: DOI
Boĭchuk, A. A.; Perestyuk, N. A.; Samoĭlenko, A. M. Periodic solutions of impulse differential systems in critical cases. (English. Russian original) Zbl 0778.34007 Differ. Equations 27, No. 9, 1070-1073 (1991). MSC: 34A37 34C25 PDFBibTeX XML
Akhmetov, M. U.; Perestyuk, N. A. Asymptotic representation of solutions of regularly perturbed systems of differential equations with nonclassical right-hand side. (English. Russian original) Zbl 0786.34004 Ukr. Math. J. 43, No. 10, 1209-1214 (1991); translation from Ukr. Mat. Zh. 43, No. 10, 1298-1304 (1991). MSC: 34A37 34E05 PDFBibTeX XMLCite \textit{M. U. Akhmetov} and \textit{N. A. Perestyuk}, Ukr. Math. J. 43, No. 10, 1209--1214 (1991; Zbl 0786.34004); translation from Ukr. Mat. Zh. 43, No. 10, 1298--1304 (1991) Full Text: DOI
Boĭchuk, A. A.; Perestyuk, N. A.; Samoĭlenko, A. M. Periodic solutions of impulse differential systems in critical cases. (Russian) Zbl 0739.34016 Differ. Uravn. 27, No. 9, 1516-1521 (1991). Reviewer: Ivan Ginchev (Varna) MSC: 34A37 34C25 PDFBibTeX XMLCite \textit{A. A. Boĭchuk} et al., Differ. Uravn. 27, No. 9, 1516--1521 (1991; Zbl 0739.34016)
Samojlenko, A. M.; Perestyuk, N. A.; Trofimchuk, S. I. Generalized solutions of impulse systems and the phenomenon of pulsations. (English. Russian original) Zbl 0735.34014 Ukr. Math. J. 43, No. 5, 610-615 (1991); translation from Ukr. Mat. Zh. 43, No. 5, 657-663 (1991). Reviewer: W.Okrasiński (Wrocław) MSC: 34A37 34A99 PDFBibTeX XMLCite \textit{A. M. Samojlenko} et al., Ukr. Math. J. 43, No. 5, 610--615 (1991; Zbl 0735.34014); translation from Ukr. Mat. Zh. 43, No. 5, 657--663 (1991) Full Text: DOI
Ashirov, O. A.; Perestyuk, N. A. Method of freezing in systems with impulse action. (English. Russian original) Zbl 0735.34013 Ukr. Math. J. 43, No. 6, 796-801 (1991); translation from Ukr. Mat. Zh. 43, No. 6, 848-853 (1991). Reviewer: W.Okrasiński (Wrocław) MSC: 34A37 34D99 34D20 PDFBibTeX XMLCite \textit{O. A. Ashirov} and \textit{N. A. Perestyuk}, Ukr. Math. J. 43, No. 6, 796--801 (1991; Zbl 0735.34013); translation from Ukr. Mat. Zh. 43, No. 6, 848--853 (1991) Full Text: DOI
Akhmetov, M. U.; Perestyuk, N. A. A comparison method for differential equations with impulse actions. (English. Russian original) Zbl 0726.34010 Differ. Equations 26, No. 9, 1079-1086 (1990); translation from Differ. Uravn. 26, No. 9, 1475-1483 (1990). MSC: 34A37 34C11 34C25 34C27 34D20 34D35 PDFBibTeX XMLCite \textit{M. U. Akhmetov} and \textit{N. A. Perestyuk}, Differ. Equations 26, No. 9, 1079--1086 (1990; Zbl 0726.34010); translation from Differ. Uravn. 26, No. 9, 1475--1483 (1990)
Akhmetov, M. U.; Perestyuk, N. A. On the comparison method for differential equations with impulse action. (Russian) Zbl 0712.34013 Differ. Uravn. 26, No. 9, 1475-1483 (1990). MSC: 34A37 34C11 34C25 34C27 34D20 34D35 PDFBibTeX XMLCite \textit{M. U. Akhmetov} and \textit{N. A. Perestyuk}, Differ. Uravn. 26, No. 9, 1475--1483 (1990; Zbl 0712.34013)
Samojlenko, A. M.; Krivosheya, S. A.; Perestyuk, N. A. Differential equations. Examples and problems. Textbook. (Differentsial’nye uravneniya. Primery i zadachi. Uchebnoe posobie). 2nd ed., rev. (Differentsial’nye uravneniya. Primery i zadachi. Uchebnoe posobie.) (Russian) Zbl 0727.34001 Moskva: Vysshaya Shkola. 384 p. R. 1.20 (1989). MSC: 34-01 34A12 34A30 34D20 00A07 PDFBibTeX XMLCite \textit{A. M. Samojlenko} et al., Differentsial'nye uravneniya. Primery i zadachi. Uchebnoe posobie (Russian). 2nd ed., rev. Moskva: Vysshaya Shkola (1989; Zbl 0727.34001)
Karkinbaev, I.; Perestyuk, N. A. Construction of asymptotic approximations to solution of impulse systems with slowly varying parameters. (Russian) Zbl 0725.34016 Asymptotic methods in problems of mathematical physics, Collect. Sci. Works, Kiev, 64-70 (1989). Reviewer: A.Coţiu (Cluj-Napoca) MSC: 34A37 34A45 34E05 PDFBibTeX XML
Akhmetov, M. U.; Perestyuk, N. A. Differentiable dependence of the solutions of impulse systems on initial data. (English. Russian original) Zbl 0716.34002 Ukr. Math. J. 41, No. 8, 878-882 (1989); translation from Ukr. Mat. Zh. 41, No. 8, 1028-1033 (1989). MSC: 34A12 PDFBibTeX XMLCite \textit{M. U. Akhmetov} and \textit{N. A. Perestyuk}, Ukr. Math. J. 41, No. 8, 878--882 (1989; Zbl 0716.34002); translation from Ukr. Mat. Zh. 41, No. 8, 1028--1033 (1989) Full Text: DOI
Akhmetov, M. U.; Perestyuk, N. A. Stability of periodic solutions of differential equations with impulse action on surfaces. (English. Russian original) Zbl 0714.34063 Ukr. Math. J. 41, No. 12, 1368-1372 (1989); translation from Ukr. Mat. Zh. 41, No. 12, 1596-1601 (1989). MSC: 34C25 34D20 PDFBibTeX XMLCite \textit{M. U. Akhmetov} and \textit{N. A. Perestyuk}, Ukr. Math. J. 41, No. 12, 1368--1372 (1989; Zbl 0714.34063); translation from Ukr. Mat. Zh. 41, No. 12, 1596--1601 (1989) Full Text: DOI
Akhmetov, M. U.; Perestyuk, N. A. Stability of periodic solutions of differential equations with impulse action on surfaces. (Russian) Zbl 0698.34033 Ukr. Mat. Zh. 41, No. 12, 1596-1601 (1989). Reviewer: J.J.Cross MSC: 34C25 34D20 PDFBibTeX XMLCite \textit{M. U. Akhmetov} and \textit{N. A. Perestyuk}, Ukr. Mat. Zh. 41, No. 12, 1596--1601 (1989; Zbl 0698.34033) Full Text: DOI
Akhmetov, M. U.; Perestyuk, N. A. Differentiable dependence of the solutions of impulse systems on initial data. (Russian) Zbl 0694.34003 Ukr. Mat. Zh. 41, No. 8, 1028-1033 (1989). Reviewer: S.Aizicovici MSC: 34A12 PDFBibTeX XMLCite \textit{M. U. Akhmetov} and \textit{N. A. Perestyuk}, Ukr. Mat. Zh. 41, No. 8, 1028--1033 (1989; Zbl 0694.34003) Full Text: DOI
Akhmetov, M. U.; Perestyuk, N. A. Almost-periodic solutions of nonlinear impulse systems. (English. Russian original) Zbl 0693.34054 Ukr. Math. J. 41, No. 3, 259-263 (1989); translation from Ukr. Mat. Zh. 41, No. 3, 291-296 (1989). Reviewer: S.Manolov MSC: 34C27 34A34 42A75 PDFBibTeX XMLCite \textit{M. U. Akhmetov} and \textit{N. A. Perestyuk}, Ukr. Math. J. 41, No. 3, 259--263 (1989; Zbl 0693.34054); translation from Ukr. Mat. Zh. 41, No. 3, 291--296 (1989) Full Text: DOI
Akhmetov, M. U.; Perestyuk, N. A. On motion with the impulse action on surfaces. (Russian) Zbl 0659.34052 Izv. Akad. Nauk Kaz. SSR, Ser. Fiz.-Mat. 1988, No. 1, 11-14 (1988). Reviewer: C.Simirad MSC: 34C99 PDFBibTeX XMLCite \textit{M. U. Akhmetov} and \textit{N. A. Perestyuk}, Izv. Akad. Nauk Kaz. SSR, Ser. Fiz.-Mat. 1988, No. 1(140), 11--14 (1988; Zbl 0659.34052)
Akhmetov, M. U.; Perestyuk, N. A. Almost periodic solutions of the nonlinear impulse systems. (Russian. English summary) Zbl 0644.34040 Dokl. Akad. Nauk Ukr. SSR, Ser. A 1988, No. 1, 3-6 (1988). Reviewer: Li-Ren Sheng MSC: 34C27 PDFBibTeX XMLCite \textit{M. U. Akhmetov} and \textit{N. A. Perestyuk}, Dokl. Akad. Nauk Ukr. SSR, Ser. A 1988, No. 1, 3--6 (1988; Zbl 0644.34040)
Perestyuk, N. A.; Akhmetov, M. U. Almost-periodic solutions of impulse systems. (English. Russian original) Zbl 0654.34033 Ukr. Math. J. 39, No. 1, 61-66 (1987); translation from Ukr. Mat. Zh. 39, No. 1, 74-80 (1987). MSC: 34C27 PDFBibTeX XMLCite \textit{N. A. Perestyuk} and \textit{M. U. Akhmetov}, Ukr. Math. J. 39, No. 1, 61--66 (1987; Zbl 0654.34033); translation from Ukr. Mat. Zh. 39, No. 1, 74--80 (1987) Full Text: DOI
Perestyuk, N. A.; Akhmetov, M. U. Almost periodic solutions of impulse systems. (Russian) Zbl 0619.34045 Ukr. Mat. Zh. 39, No. 1, 74-80 (1987). Reviewer: L.Reizins MSC: 34C27 PDFBibTeX XMLCite \textit{N. A. Perestyuk} and \textit{M. U. Akhmetov}, Ukr. Mat. Zh. 39, No. 1, 74--80 (1987; Zbl 0619.34045) Full Text: DOI
Gurgula, S. I.; Perestyuk, N. A. The direct Lyapunov method for differential equations under the effect of an impulse. (Russian) Zbl 0581.34042 Mat. Fiz. Nelinejnaya Mekh. 5(39), 4-9 (1986). Reviewer: E.Ihle MSC: 34D20 PDFBibTeX XMLCite \textit{S. I. Gurgula} and \textit{N. A. Perestyuk}, Mat. Fiz. Nelineĭn. Mekh. 5(39), 4--9 (1986; Zbl 0581.34042)
Ishchuk, V. V.; Perestyuk, N. A. Asymptotic integration of weakly nonlinear systems with impulses. (English) Zbl 0648.34003 Ukr. Math. J. 37, 288-291 (1985). MSC: 34A05 PDFBibTeX XMLCite \textit{V. V. Ishchuk} and \textit{N. A. Perestyuk}, Ukr. Math. J. 37, 288--291 (1985; Zbl 0648.34003) Full Text: DOI
Perestyuk, N. A.; Turbaev, B. E.; Safarova, G. Kh. On the stability of the solutions of a class of integro-differential equations. (Russian) Zbl 0593.45009 Asymptotic integration of differential equations, Collect. sci. Works, Kiev 1985, 133-140 (1985). Reviewer: K.Barckow MSC: 45J05 45M10 PDFBibTeX XML
Ishchuk, V. V.; Perestyuk, N. A. Asymptotic integration of weakly nonlinear impulse systems. (Russian) Zbl 0586.34002 Ukr. Mat. Zh. 37, No. 3, 363-368 (1985). Reviewer: L.Janos MSC: 34A05 PDFBibTeX XMLCite \textit{V. V. Ishchuk} and \textit{N. A. Perestyuk}, Ukr. Mat. Zh. 37, No. 3, 363--368 (1985; Zbl 0586.34002)
Mitropol’skij, Yu. A.; Samojlenko, A. M.; Perestyuk, N. A. Averaging method in systems with impulses. (English. Russian original) Zbl 0583.34036 Ukr. Math. J. 37, 48-55 (1985); translation from Ukr. Mat. Zh. 37, No. 1, 55-69 (1985). Reviewer: R.Reißig MSC: 34C29 34E05 PDFBibTeX XMLCite \textit{Yu. A. Mitropol'skij} et al., Ukr. Math. J. 37, 48--55 (1985; Zbl 0583.34036); translation from Ukr. Mat. Zh. 37, No. 1, 55--69 (1985) Full Text: DOI
Akhmetov, M. U.; Perestyuk, N. A. Necessary and sufficient conditions for the stability of the characteristic exponents of a linear system of differential equations with impulse effect. (Russian. English summary) Zbl 0572.34043 Dokl. Akad. Nauk Ukr. SSR, Ser. A 1985, No. 3, 3-5 (1985). Reviewer: D.Bajnov MSC: 34D20 PDFBibTeX XMLCite \textit{M. U. Akhmetov} and \textit{N. A. Perestyuk}, Dokl. Akad. Nauk Ukr. SSR, Ser. A 1985, No. 3, 3--5 (1985; Zbl 0572.34043)
Samojlenko, A. M.; Krivosheya, S. A.; Perestyuk, N. A. Differential equations. Examples and problems. Textbook. (Differentsial’nye uravneniya. Primery i zadachi. Uchebnoe posobie). (Russian) Zbl 0584.34001 Kiev: Golovnoe Izdatel’stvo Izdatel’skogo Ob”edineniya ”Vishcha Shkola”. 408 p. R. 1.20 (1984). Reviewer: C.Corduneanu MSC: 34-01 34A30 34A12 34D20 PDFBibTeX XML
Akhmetov, M. U.; Perestyuk, N. A. Almost-periodic solutions of one class of systems with impulses. (English. Russian original) Zbl 0556.34041 Ukr. Math. J. 36, 397-401 (1984); translation from Ukr. Mat. Zh. 36, No. 4, 486-490 (1984). Reviewer: S.G.Hristova MSC: 34C27 34A30 34C25 34C11 34D05 PDFBibTeX XMLCite \textit{M. U. Akhmetov} and \textit{N. A. Perestyuk}, Ukr. Math. J. 36, 397--401 (1984; Zbl 0556.34041); translation from Ukr. Mat. Zh. 36, No. 4, 486--490 (1984) Full Text: DOI
Perestyuk, N. A.; Chernikova, O. S. A contribution to the stability problem for solutions of systems of differential equations with impulses. (English. Russian original) Zbl 0549.34051 Ukr. Math. J. 36, 171-176 (1984); translation from Ukr. Mat. Zh. 36, No. 2, 190-195 (1984). Reviewer: V.Kozobrod MSC: 34D20 PDFBibTeX XMLCite \textit{N. A. Perestyuk} and \textit{O. S. Chernikova}, Ukr. Math. J. 36, 171--176 (1984; Zbl 0549.34051); translation from Ukr. Mat. Zh. 36, No. 2, 190--195 (1984) Full Text: DOI
Akhmetov, M. U.; Perestyuk, N. A. On periodic solutions of systems with impulse action. (Russian) Zbl 0539.34030 Izv. Akad. Nauk Kaz. SSR, Ser. Fiz.-Mat. 1984, No. 1(116), 13-17 (1984). Reviewer: P.Drábek MSC: 34C25 34A34 PDFBibTeX XMLCite \textit{M. U. Akhmetov} and \textit{N. A. Perestyuk}, Izv. Akad. Nauk Kaz. SSR, Ser. Fiz.-Mat. 1984, No. 1(116), 13--17 (1984; Zbl 0539.34030)