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Found 124 Documents (Results 1–100)

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).
MSC:  34G20 34A37 34C11
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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).
MSC:  34C45
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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).
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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
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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
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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).
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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
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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).
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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).
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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).
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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).
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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).
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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
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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).
MSC:  34-02 34A37
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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).
MSC:  34B10 34A45 47J25
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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).
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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
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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).
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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
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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).
MSC:  34A37 34A99
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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).
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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
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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
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