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Found 166 Documents (Results 1–100)

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Musiĭ, R. S.; Mel’nyk, N. B.; Andrusyak, I. V.

Solutions building for dynamic problems of thermomechanic for dual-layer conductive cylindrical bodies under non-stationary electromagnetic action. (Ukrainian. English summary) Zbl 1399.74008

Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2017, No. 3, 157-160 (2017).
MSC:  74A15 74F15
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\textit{R. S. Musiĭ} et al., Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2017, No. 3, 157--160 (2017; Zbl 1399.74008)
Kharkhota, Anna Aleksandrovna; Melnyk, Sergei Anatol’evich

Estimation of parameters of the Samuelson model with telegraph drift. (English. Ukrainian original) Zbl 1414.91376

J. Math. Sci., New York 218, No. 1, 16-27 (2016); translation from Ukr. Mat. Visn. 12, No. 4, 557-572 (2015).
MSC:  91G20 62F12 62P05
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\textit{A. A. Kharkhota} and \textit{S. A. Melnyk}, J. Math. Sci., New York 218, No. 1, 16--27 (2016; Zbl 1414.91376); translation from Ukr. Mat. Visn. 12, No. 4, 557--572 (2015)
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Shakhno, S. M.; Melnyk, I. V.; Yarmola, H. P.

Analysis of convergence of a combined method for th solution of nonlinear equations. (Ukrainian, English) Zbl 1313.33017

Mat. Metody Fiz.-Mekh. Polya 56, No. 1, 31-39 (2013); translation in J. Math. Sci., New York 201, No. 1, 32-43 (2014).
Reviewer: Julia A. Martynyuk (Kyïv)
MSC:  33F05 65D20 47J06
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\textit{S. M. Shakhno} et al., Mat. Metody Fiz.-Mekh. Polya 56, No. 1, 31--39 (2013; Zbl 1313.33017); translation in J. Math. Sci., New York 201, No. 1, 32--43 (2014)
Ibrahimbegovic, Adnan; Colliat, Jean-Baptiste; Hautefeuille, Martin; Brancherie, Delphine; Melnyk, Sergiy

Probability based size effect representation for failure in civil engineering structures built of heterogeneous materials. (English) Zbl 1245.74082

Papadrakakis, Manolis (ed.) et al., Computational methods in stochastic dynamics. Selected papers based on the presentations at the 2nd international conference on computational methods in structural dynamics and earthquake engineering (COMPDYN 2009), and 2nd south east European conference on computational mechanics (SEECCM 2009, Rhodos, Greece, June 22–24, 2009 . New York, NY: Springer (ISBN 978-90-481-9986-0/hbk). Computational Methods in Applied Sciences 22, 291-313 (2011).
MSC:  74R10 74E30
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\textit{A. Ibrahimbegovic} et al., Comput. Methods Appl. Sci. 22, 291--313 (2011; Zbl 1245.74082)
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Zgurovsky, Mikhail Z.; Mel’nik, Valery S.; Kasyanov, Pavlo O.

Evolution inclusions and variation inequalities for earth data processing. II. Differential-operator inclusions and evolution variation inequalities for earth data processing. (English) Zbl 1213.47002

Advances in Mechanics and Mathematics 25. Berlin: Springer (ISBN 978-3-642-13877-5/hbk; 978-3-642-13878-2/ebook). xxv, 274 p. (2011).
Reviewer: Boris Danilovich Gel’man (Voronezh)
MSC:  47-02 34A60 34G20 34G25 47H04 47H05 47J20 47J22 49J35 49J53 86A10
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\textit{M. Z. Zgurovsky} et al., Evolution inclusions and variation inequalities for earth data processing. II. Differential-operator inclusions and evolution variation inequalities for earth data processing. Berlin: Springer (2011; Zbl 1213.47002)
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Zgurovsky, Mikhail Z.; Mel’nik, Valery S.; Kasyanov, Pavlo O.

Evolution inclusions and variation inequalities for Earth data Processing. I. Operator inclusions and variation inequalities for earth data processing. (English) Zbl 1213.47001

Advances in Mechanics and Mathematics 24. Berlin: Springer (ISBN 978-3-642-13836-2/hbk; 978-3-642-13837-9/ebook). xxx, 247 p. (2011).
Reviewer: Boris Danilovich Gel’man (Voronezh)
MSC:  47-02 34A60 34G20 34G25 47H04 47H05 47J20 47J22 49J35 49J53 86A10
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\textit{M. Z. Zgurovsky} et al., Evolution inclusions and variation inequalities for Earth data Processing. I. Operator inclusions and variation inequalities for earth data processing. Berlin: Springer (2011; Zbl 1213.47001)
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Kas’yanov, P. O.; Mel’nyk, V. S.

Evolution inequalities with noncoercive \(\omega_{\lambda_0}\)-pseudomonotone Volterra-type mappings. (Ukrainian, English) Zbl 1199.34305

Ukr. Mat. Zh. 60, No. 11, 1499-1519 (2008); translation in Ukr. Math. J. 60, No. 11, 1752-1777 (2008).
Reviewer: A. N. Kochubei (Kyïv)
MSC:  34G25 47N20
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\textit{P. O. Kas'yanov} and \textit{V. S. Mel'nyk}, Ukr. Mat. Zh. 60, No. 11, 1499--1519 (2008; Zbl 1199.34305); translation in Ukr. Math. J. 60, No. 11, 1752--1777 (2008)
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Mel’nik, S. A.

Fibering of solutions of Itô stochastic equations of the parabolic type with power-law nonlinearities. (English. Russian original) Zbl 1149.60043

Differ. Equ. 43, No. 10, 1434-1444 (2007); translation from Differ. Uravn. 43, No. 10, 1400-1409 (2007).
Reviewer: Martin Ondreját (Praha)
MSC:  60H15 35K55 35C05
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\textit{S. A. Mel'nik}, Differ. Equ. 43, No. 10, 1434--1444 (2007; Zbl 1149.60043); translation from Differ. Uravn. 43, No. 10, 1400--1409 (2007)
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Mel’nik, T. A.; Vashchuk, P. S.

Homogenization of a boundary value problem with mixed type of boundary conditions in a thick junction. (English. Russian original) Zbl 1140.35340

Differ. Equ. 43, No. 5, 696-703 (2007); translation from Differ. Uravn. 43, No. 5, 677-684 (2007).
MSC:  35B27 35M10 35C20
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\textit{T. A. Mel'nik} and \textit{P. S. Vashchuk}, Differ. Equ. 43, No. 5, 696--703 (2007; Zbl 1140.35340); translation from Differ. Uravn. 43, No. 5, 677--684 (2007)
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Zgurovsky, M. Z.; Mel’nik, V. S.

Nonlinear analysis and control of physical processes and fields. With a preface by Roman Voranka. (English) Zbl 1056.93002

Data and Knowledge in a Changing World. Berlin: Springer (ISBN 3-540-14019-0/hbk). xiv, 508 p. (2004).
Reviewer: A. Akutowicz (Berlin)
MSC:  93-02 93C25 46N10 93C10 93B28 93C20 80A32 80A20 35Q30 47J05 46T30 47J35 49J45 49J52 47J20 47J25 47H05 49J27 49K27 49J40
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\textit{M. Z. Zgurovsky} and \textit{V. S. Mel'nik}, Nonlinear analysis and control of physical processes and fields. With a preface by Roman Voranka. Berlin: Springer (2004; Zbl 1056.93002)
Valero, J.; Kapustyan, O. V.; Carballo, T.; Langa, J.; Mel’nyk, V. S.

On global attractors from “\(-\infty\)” of multivalued dynamical processes in topological spaces. (Ukrainian. English summary) Zbl 1026.37063

Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2003, No. 3, 7-10 (2003).
Reviewer: I.O.Parasyuk (Kyïv)
MSC:  37L30 47H20 54C60 54H20
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\textit{J. Valero} et al., Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2003, No. 3, 7--10 (2003; Zbl 1026.37063)
Mel’nyk, S. A.

Dynamics of non self-similar solutions of Cauchy problem for some parabolic type stochastic equations with polynomial nonlinearities. (Ukrainian, English) Zbl 1050.60066

Teor. Jmovirn. Mat. Stat. 67, 117-121 (2002); translation in Theory Probab. Math. Stat. 67, 129-134 (2003).
Reviewer: N. M. Zinchenko (Kyïv)
MSC:  60H15
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\textit{S. A. Mel'nyk}, Teor. Ĭmovirn. Mat. Stat. 67, 117--121 (2002; Zbl 1050.60066); translation in Theory Probab. Math. Stat. 67, 129--134 (2003)
Zgurovskij, M. Z.; Mel’nik, V. S.

The Ky Fan inequality and operator inclusions in Banach spaces. (English. Russian original) Zbl 1046.49007

Cybern. Syst. Anal. 38, No. 2, 208-220 (2002); translation from Kibern. Sist. Anal. 2002, No. 2, 70-85 (2002).
Reviewer: Nikolaos G. Yannakakis (Athens)
MSC:  49J40 49J53 47J05 35R70 49J52
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\textit{M. Z. Zgurovskij} and \textit{V. S. Mel'nik}, Cybern. Syst. Anal. 38, No. 2, 208--220 (2002; Zbl 1046.49007); translation from Kibern. Sist. Anal. 2002, No. 2, 70--85 (2002)
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Mel’nik, S. A.

Estimates for the solution of the Cauchy problem for a stochastic differential equation of parabolic type with power-law nonlinearities (a strong source). (English. Russian original) Zbl 1030.60050

Differ. Equ. 38, No. 6, 847-854 (2002); translation from Differ. Uravn. 38, No. 6, 802-808 (2002).
Reviewer: Wiesław Kotarski (Sosnowiec)
MSC:  60H15 35R60
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\textit{S. A. Mel'nik}, Differ. Equ. 38, No. 6, 847--854 (2002; Zbl 1030.60050); translation from Differ. Uravn. 38, No. 6, 802--808 (2002)
Full Text: DOI
Mel’nik, S. A.

Upper and lower bounds of solution of the Cauchy problem for stochastic differential parabolic type equation with power nonlinearities (weak source). (English. Russian original) Zbl 1019.60061

Ukr. Math. J. 54, No. 1, 76-84 (2002); translation from Ukr. Mat. Zh. 54, No. 1, 63-70 (2002).
Reviewer: Mikhail Moklyachuk (Kyïv)
MSC:  60H15 35R60
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\textit{S. A. Mel'nik}, Ukr. Mat. Zh. 54, No. 1, 63--70 (2002; Zbl 1019.60061); translation from Ukr. Mat. Zh. 54, No. 1, 63--70 (2002)
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Mel’nik, V. S.; Mizernyĭ, V. N.; Solonukha, O. V.

A lower weak solution of a problem of the optimization of a time-dependent system with distributed parameters. (Russian) Zbl 1494.49016

Sergienko, I. V., Komp’yuterna matematyka. Optymizatsiya obchyslen’. Tom 2. Kiev: Natsional’naya Akademiya Nauk Ukrainy, Institut Kibernetiki im. V. M. Glushkova. 251-262 (2001).
MSC:  49K20 49J20
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\textit{V. S. Mel'nik} et al., in: Komp'yuterna matematyka. Optymizatsiya obchyslen'. Tom 2. Kiev: Natsional'naya Akademiya Nauk Ukrainy, Institut Kibernetiki im. V. M. Glushkova. 251--262 (2001; Zbl 1494.49016)
Zgurovskij, M. Z.; Mel’nik, V. S.

Penalty method for variational inequalities with multivalued mappings. III. (English. Russian original) Zbl 1041.49014

Cybern. Syst. Anal. 37, No. 2, 203-213 (2001); translation from Kibern. Sist. Anal. 2001, No. 2, 70-83 (2001).
MSC:  49J40 49J20 65K10
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\textit{M. Z. Zgurovskij} and \textit{V. S. Mel'nik}, Cybern. Syst. Anal. 37, No. 2, 203--213 (2001; Zbl 1041.49014); translation from Kibern. Sist. Anal. 2001, No. 2, 70--83 (2001)
Full Text: DOI
Mel’nyk, S. A.

The dynamics of solutions of the Cauchy problem for a parabolic type stochastic equation with power nonlinearities (the stochastic term is linear). (English. Ukrainian original) Zbl 0998.60023

Theory Probab. Math. Stat. 64, 129-137 (2002); translation from Teor. Jmovirn. Mat. Stat. 64, 110-117 (2001).
Reviewer: N.M.Zinchenko (Kyïv)
MSC:  60F10 62F05
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\textit{S. A. Mel'nyk}, Teor. Ĭmovirn. Mat. Stat. 64, 110--117 (2001; Zbl 0998.60023); translation from Teor. Jmovirn. Mat. Stat. 64, 110--117 (2001)
Zgurovskij, M. Z.; Mel’nik, V. S.

Penalty method for variational inequalities with multivalued mappings. I. (English. Russian original) Zbl 1039.49015

Cybern. Syst. Anal. 36, No. 4, 520-530 (2000); translation from Kibern. Sist. Anal. 2000, No. 4, 57-69 (2000).
Reviewer: Dian K. Palagachev (Bari)
MSC:  49J40 47J20 65K10
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\textit{M. Z. Zgurovskij} and \textit{V. S. Mel'nik}, Cybern. Syst. Anal. 36, No. 4, 520--530 (2000; Zbl 1039.49015); translation from Kibern. Sist. Anal. 2000, No. 4, 57--69 (2000)
Full Text: DOI
Zgurovskij, M. Z.; Mel’nik, V. S.

Penalty method for variational inequalities with multivalued mappings. II. (English. Russian original) Zbl 1040.49014

Cybern. Syst. Anal. 36, No. 5, 667-677 (2000); translation from Kibern. Sist. Anal. 2000, No. 5, 41-53 (2000).
Reviewer: Dian K. Palagachev (Bari)
MSC:  49J40 47J20 65K10
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\textit{M. Z. Zgurovskij} and \textit{V. S. Mel'nik}, Cybern. Syst. Anal. 36, No. 5, 667--677 (2000; Zbl 1040.49014); translation from Kibern. Sist. Anal. 2000, No. 5, 41--53 (2000)
Full Text: DOI
Kogut, P. I.; Melnik, V. S.

On weak compactness of bounded sets in Banach and locally convex spaces. (English. Russian original) Zbl 0963.46014

Ukr. Math. J. 52, No. 6, 837-846 (2000); translation from Ukr. Mat. Zh. 52, No. 6, 731-739 (2000).
Reviewer: A.N.Kochubei (Kyïv)
MSC:  46B50 46A50 46N10 49J20
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\textit{P. I. Kogut} and \textit{V. S. Melnik}, Ukr. Mat. Zh. 52, No. 6, 731--739 (2000; Zbl 0963.46014); translation from Ukr. Mat. Zh. 52, No. 6, 731--739 (2000)
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Kapustyan, A. V.; Mel’nik, V. S.

Global attractors of multivalued semidynamical systems and their approximations. (English. Russian original) Zbl 0962.37010

Dokl. Math. 59, No. 3, 415-418 (1999); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 366, No. 4, 445-448 (1999).
MSC:  37C70 54H20 37B25 35B41
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\textit{A. V. Kapustyan} and \textit{V. S. Mel'nik}, Dokl. Math. 59, No. 3, 445--448 (1999; Zbl 0962.37010); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 366, No. 4, 445--448 (1999)
Valero, Kh. K.; Mel’nik, V. S.

Attractors of set-valued semidynamic systems generated by evolution inclusions. (English. Russian original) Zbl 0973.37049

Dokl. Math. 58, No. 1, 49-52 (1998); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 361, No. 3, 295-299 (1998).
Reviewer: Peter Poláčik (Bratislava)
MSC:  37L30 35B40 37L05 35R70 37B25
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\textit{Kh. K. Valero} and \textit{V. S. Mel'nik}, Dokl. Math. 58, No. 1, 295--299 (1998; Zbl 0973.37049); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 361, No. 3, 295--299 (1998)
Kapustyan, A. V.; Mel’nik, V. S.

Global attractors of multivalued semidynamical systems and their approximations. (English. Russian original) Zbl 0995.37011

Cybern. Syst. Anal. 34, No. 5, 719-725 (1998); translation from Kibern. Sist. Anal. 1998, No. 5, 102-111 (1998).
Reviewer: O.Ninnemann (Berlin)
MSC:  37B25 34D45 54C60 54H20
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\textit{A. V. Kapustyan} and \textit{V. S. Mel'nik}, Cybern. Syst. Anal. 34, No. 5, 719--725 (1998; Zbl 0995.37011); translation from Kibern. Sist. Anal. 1998, No. 5, 102--111 (1998)
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