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 Author ID: obukhovskii.valeri Published as: Obukhovskii, Valeri; Obukhovskij, V. V.; Obukhovskii, V. V.; Obukhovskii, V.; Obukhovskij, Valeri; Obukhovskiĭ, V. V.; Obukhovskiĭ, Valeri; Obukhovski, Valeri; Obukhovskiĭ, Valeriĭ Vladimirovich; Obukhovoskii, Valeri; Obukhovs’kyĭ, V. V.; Obukhovskiǐ, V. V.; Obukhoskij, V. V.; Obukhovski, V. V.; Obukhovskij, V. External Links: MGP · Math-Net.Ru · Wikidata · ORCID · ResearchGate · dblp
 Documents Indexed: 142 Publications since 1969, including 9 Books Reviewing Activity: 429 Reviews Biographic References: 1 Publication
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#### Co-Authors

 6 single-authored 35 Zecca, Pietro 22 Gel’man, Boris Danielovich 20 Yao, Jen-Chih 19 Nguyen Van Loi 18 Kamenskiĭ, Mikhaĭl Igor’evich 17 Kornev, Sergeĭ Viktorovich 14 Borisovich, Yuriĭ Grigor’evich 9 Myshkis, Anatoliĭ Dmitrievich 8 Zvyagin, Victor G. 7 Benedetti, Irene 6 Liou, Yeongcheng 5 Ke, Tran Dinh 5 Petrosyan, Garik 5 Wong, Ngai-Ching 4 Baskakov, Anatoliĭ Grigor’evich 4 Gliklikh, Yuriĭ Evgen’evich 4 Nistri, Paolo 4 Rubbioni, Paola 4 Taddei, Valentina 4 Udodenko, N. N. 3 Arutyunov, Aram Vladimirovic 3 Bader, Ralf 3 Getmanova, Ekaterina Nikolaevna 3 Gori, Candida 3 Liu, Zhenhai 2 Afanasova, Maria 2 Al-Obaidi, J. M. 2 Arkhontova, R. A. 2 Bakhtin, Ivan Alekseevich 2 Conti, Giuseppe 2 Kudinov, Anatoly Filippovich 2 Mukhamadiev, Eh. M. 2 Potapov, A. S. 2 Ragni, Marcello 2 Sapronov, Yuriĭ Ivanovich 2 Tran Dinh Ke 2 Zachepa, V. R. 1 Agafonova, T. S. 1 Al-Hashemi, Hisham R. 1 Ansari, Qamrul Hasan 1 Appel, Yu. 1 Arkhonmova, R. A. 1 Avakov, Evgeniĭ Rachievich 1 Basova, M. M. 1 Belyaeva, È. S. 1 Bliznyakov, N. M. 1 Borisorich, Yu. G. 1 Bryzgalova, M. A. 1 Bukhshtaber, Viktor Matveevich 1 Burd, V. Sh. 1 Chernavskij, A. V. 1 Dmitruk, Andrei V. 1 Fomenko, Anatoliĭ Timofeevich 1 Gerstein, V. M. 1 Grechenko, A. S. 1 Hoai, Nguyen Thi Xuan 1 Izrailevich, Ya. A. 1 Karatsuba, Anatoliĭ Alekseevich 1 Kim, Bui Trong 1 Korner, S. V. 1 Kunakovskaya, O. V. 1 Kurbatov, Vitaliĭ Gennad’evich 1 Lu, Liang 1 Malaguti, Luisa 1 Mishchenko, Aleksandr Sergeevich 1 Nguyen Manh Hung 1 Nikonova, V. V. 1 Perov, Anatolij Ivanovich 1 Petrova, L. P. 1 Pryadko, Irina N. 1 Ratiner, N. M. 1 Semënov, Evgeniĭ Mikhaĭlovich 1 Skaletskij, A. G. 1 Starova, Tatiana 1 Trofimov, V. P. 1 Turbin, Mikhail V. 1 Vu, Mai Quoc 1 Wen, Chingfeng 1 Zachena, V. R. 1 Zvyagin, Andreĭ Viktorovich
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#### Serials

 10 Fixed Point Theory 8 Vestnik Voronezhskogo Gosudarstvennogo Universiteta. Seriya Fizika, Matematika 7 Discussiones Mathematicae. Differential Inclusions, Control and Optimization 6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 6 Topological Methods in Nonlinear Analysis 4 Journal of Mathematical Analysis and Applications 4 Journal of Soviet Mathematics 4 Differential Equations and Dynamical Systems 4 Abstract and Applied Analysis 4 Journal of Nonlinear and Convex Analysis 4 Journal of Fixed Point Theory and Applications 3 Applicable Analysis 3 Russian Mathematical Surveys 3 Optimization 3 Taiwanese Journal of Mathematics 3 Differential Equations 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Applied Mathematics and Computation 2 Soviet Mathematics. Doklady 2 Russian Mathematics 2 Functional Differential Equations 2 Fractional Calculus & Applied Analysis 2 Fixed Point Theory and Applications 2 Itogi Nauki i Tekhniki. Seriya Matematicheskiĭ Analiz 2 Set-Valued and Variational Analysis 1 Differential Equations 1 Journal of Differential Equations 1 Journal of Optimization Theory and Applications 1 Sibirskiĭ Matematicheskiĭ Zhurnal 1 Transactions of the American Mathematical Society 1 Zbornik Radova. Prirodno-Matematichkog Fakulteta. Serija za Matematiku 1 Topology and its Applications 1 Soviet Journal of Automation and Information Sciences 1 Dynamic Systems and Applications 1 Automation and Remote Control 1 Journal of Dynamics and Differential Equations 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Set-Valued Analysis 1 The Canadian Applied Mathematics Quarterly 1 Journal of Mathematical Sciences (New York) 1 Funktsional’nyĭ Analiz 1 NoDEA. Nonlinear Differential Equations and Applications 1 Doklady Mathematics 1 Sorosovskiĭ Obrazovatel’nyĭ Zhurnal 1 Visnyk. Seriya: Fizyko-Matematychni Nauky. Kyïvs’kyĭ Universytet Imeni Tarasa Shevchenka 1 Communications in Contemporary Mathematics 1 Journal of Concrete and Applicable Mathematics 1 Chebyshevskiĭ Sbornik 1 De Gruyter Series in Nonlinear Analysis and Applications 1 Lecture Notes in Mathematics 1 Discrete and Continuous Dynamical Systems. Series S 1 Journal of Function Spaces 1 Nonlinear Analysis. Theory, Methods & Applications 1 Journal of Nonlinear and Variational Analysis 1 De Gruyter Graduate 1 PLISKA. Studia Mathematica
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#### Fields

 85 Ordinary differential equations (34-XX) 78 Operator theory (47-XX) 24 Calculus of variations and optimal control; optimization (49-XX) 23 Systems theory; control (93-XX) 22 General topology (54-XX) 16 Algebraic topology (55-XX) 13 Global analysis, analysis on manifolds (58-XX) 6 Real functions (26-XX) 5 History and biography (01-XX) 5 Partial differential equations (35-XX) 4 Measure and integration (28-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Fluid mechanics (76-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Functional analysis (46-XX) 2 General and overarching topics; collections (00-XX) 2 Integral equations (45-XX) 2 Manifolds and cell complexes (57-XX) 2 Operations research, mathematical programming (90-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Statistical mechanics, structure of matter (82-XX)

#### Citations contained in zbMATH Open

92 Publications have been cited 845 times in 531 Documents Cited by Year
Condensing multivalued maps and semilinear differential inclusions in Banach spaces. Zbl 0988.34001
Kamenskii, M.; Obukhovskii, V.; Zecca, Pietro
2001
Locally covering maps in metric spaces and coincidence points. Zbl 1182.54050
Arutyunov, Aram; Avakov, Evgeniy; Gel’man, Boris; Dmitruk, Andrei; Obukhovskii, Valeri
2009
Controllability for systems governed by semilinear differential inclusions in a Banach space with a noncompact semigroup. Zbl 1157.93006
Obukhovski, Valeri; Zecca, Pietro
2009
Multivalued mappings. Zbl 0529.54013
Borisovich, Yu. G.; Gel’man, B. D.; Myshkis, A. D.; Obukhovskij, V. V.
1984
Introduction to the theory of multi-valued mappings and differential inclusions. With a preface by Gel’man and Obukhovskiĭ. 2nd revised and enlarged ed. (Введение в теорию многозначных отображений и дифференциальных включений.) Zbl 1231.54001
Borisovich, Yu. G.; Gel’man, B. D.; Myshkis, A. D.; Obukhovskiĭ, V. V.
2011
Decay solutions for a class of fractional differential variational inequalities. Zbl 1319.49012
Dinh Ke, Tran; Van Loi, Nguyen; Obukhovskii, Valeri
2015
Introduction to the theory of multivalued maps and differential inclusions. (Введение в теорию многозначных отображений и дифференциальных включений.) Zbl 1126.34001
Borisovich, Yu. G.; Gel’man, B. D.; Myshkis, A. D.; Obukhovskiĭ, V. V.
2005
Topological methods in the fixed-point theory of multi-valued maps. Zbl 0464.55003
Borisovich, Yu. G.; Gel’man, B. D.; Myshkis, A. D.; Obukhovskij, V. V.
1980
Existence and global bifurcation of periodic solutions to a class of differential variational inequalities. Zbl 1275.34088
Liu, Zhenhai; Van Loi, Nguyen; Obukhovskii, Valeri
2013
Optimal feedback control in the problem of the motion of a viscoelastic fluid. Zbl 1259.49006
Obukhovskiĭ, Valeri; Zecca, Pietro; Zvyagin, Viktor
2004
Method of guiding functions in problems of nonlinear analysis. Zbl 1282.34003
Obukhovskii, Valeri; Zecca, Pietro; Van Loi, Nguyen; Kornev, Sergei
2013
Some existence results for fractional functional differential equations. Zbl 1202.34141
Obukhovskii, Valeri; Yao, Jen-Chih
2010
On some developments of the method of integral guiding functions. Zbl 1081.34070
Kornev, S.; Obukhovskii, V.
2005
Controllability for systems governed by semilinear evolution inclusions without compactness. Zbl 1311.34137
Benedetti, Irene; Obukhovskii, Valeri; Taddei, Valentina
2014
On semilinear fractional order differential inclusions in Banach spaces. Zbl 1364.34088
Kamenskii, Mikhail; Obukhovskii, Valeri; Petrosyan, Garik; Yao, Jen-Chih
2017
Controllability for impulsive semilinear functional differential inclusions with a non-compact evolution operator. Zbl 1264.93022
Benedetti, Irene; Obukhovskii, Valeri; Zecca, Pietro
2011
On certain classes of functional inclusions with causal operators in Banach spaces. Zbl 1225.47082
Obukhovskii, Valeri; Zecca, Pietro
2011
On inclusions with multivalued operators and their applications to some optimization problems. Zbl 1316.49025
Zvyagin, Victor; Obukhovskii, Valeri; Zvyagin, Andrey
2014
Multivalued analysis and operator inclusions. Zbl 0725.54015
Borisovich, Yu. G.; Gel’man, B. D.; Myshkis, A. D.; Obukhovskij, V. V.
1987
On impulsive functional differential inclusions with Hille-Yosida operators in Banach spaces. Zbl 1214.34052
Obukhovskii, Valeri; Yao, Jen-Chih
2010
Optimal feedback control for a semilinear evolution equation. Zbl 0817.49002
Kamenskij, M. I.; Nistri, P.; Obukhovskij, V. V.; Zecca, P.
1994
An oriented coincidence index for nonlinear Fredholm inclusions with nonconvex-valued perturbations. Zbl 1130.47034
Obukhovskii, Valeri; Zecca, Pietro; Zvyagin, Victor
2006
On asymptotics of solutions for a class of functional differential inclusions. Zbl 1315.34072
Kornev, Sergei; Obukhovskii, Valeri; Yao, Jen-Chih
2014
On boundary value problems for degenerate differential inclusions in Banach spaces. Zbl 1076.34070
Obukhovskii, Valeri; Zecca, Pietro
2003
Existence and continuous dependence results for semilinear functional differential inclusions with infinite delay. Zbl 1018.34076
Gori, Candida; Obukhovskii, Valeri; Ragni, Marcello; Rubbioni, Paola
2002
On coincidence index for multivalued perturbations of nonlinear Fredholm maps and some applications. Zbl 1038.47042
Obukhovskii, Valeri; Zecca, Pietro; Zvyagin, Victor
2002
On noncompact fractional order differential inclusions with generalized boundary condition and impulses in a Banach space. Zbl 1325.34007
Benedetti, Irene; Obukhovskii, Valeri; Taddei, Valentina
2015
On the global bifurcation of periodic solutions of differential inclusions in Hilbert spaces. Zbl 1262.34073
Van Loi, Nguyen; Obukhovskii, Valeri; Zecca, Pietro
2013
Topological methods for some classes of differential variational inequalities. Zbl 1357.34044
Loi, Nguyen Van; Ke, Tran Dinh; Obukhovskii, Valeri; Zecca, Pietro
2016
On a class of fractional order differential inclusions with infinite delays. Zbl 1266.34131
Ke, Tran Dinh; Obukhovskii, Valeri; Wong, Ngai-Ching; Yao, Jen-Chih
2013
Existence and approximation of solutions to nonlocal boundary value problems for fractional differential inclusions. Zbl 07054937
Kamenskii, M.; Obukhovskii, V.; Petrosyan, G.; Yao, Jen-Chih
2019
Application of a coincidence index to some classes of impulsive control systems. Zbl 1163.47043
Liou, Y. C.; Obukhovskii, V.; Yao, J. C.
2008
On the index of solvability for variational inequalities in Banach spaces. Zbl 1148.47046
Benedetti, Irene; Obukhovskii, Valeri
2008
On the topological structure of the solution set for a semilinear functional-differential inclusion in a Banach space. Zbl 0845.34027
Conti, Giuseppe; Obukhovskij, Valeri; Zecca, Pietro
1996
On a controllability problem for systems governed by semilinear functional differential inclusions in Banach spaces. Zbl 0964.34071
Obukhovskij, Valeri; Rubbioni, Paola
2000
On the topological degree for a class of non-compact multivalued mappings. Zbl 0599.54022
Obukhovskij, V. V.
1984
Approximate controllability for systems governed by nonlinear Volterra type equations. Zbl 1252.93025
Ke, Tran Dinh; Obukhovskii, Valeri; Wong, Ngai-Ching; Yao, Jen-Chih
2012
On approximate solutions for a class of semilinear fractional-order differential equations in Banach spaces. Zbl 1387.34027
Kamenskii, Mikhail; Obukhovskii, Valeri; Petrosyan, Garik; Yao, Jen-Chih
2017
Convex and set-valued analysis. Selected topics. Zbl 1357.49001
Arutyunov, Aram V.; Obukhovskii, Valeri
2017
On generalized boundary value problems for a class of fractional differential inclusions. Zbl 1391.34007
Benedetti, Irene; Obukhovskii, Valeri; Taddei, Valentina
2017
Boundary value problems for semilinear differential inclusions of fractional order in a Banach space. Zbl 1467.34007
Kamenskii, Mikhail; Obukhovskii, Valeri; Petrosyan, Garik; Yao, Jen-Chih
2018
Multivalued linear operators and differential inclusions in Banach spaces. Zbl 1059.34036
Baskakov, Anatolii; Obukhovoskii, Valeri; Zecca, Pietro
2003
On the solvability of systems of inclusions involving noncompact operators. Zbl 0793.47050
Nistri, P.; Obukhovskij, V. V.; Zecca, P.
1994
On solutions of differential inclusions in homogeneous spaces of functions. Zbl 1113.34045
Baskakov, Anatolii; Obukhovskii, Valeri; Zecca, Pietro
2006
Asymptotic behavior of solutions of differential inclusions and the method of guiding functions. Zbl 1328.34021
Kornev, S. V.; Obukhovskii, V. V.
2015
On some properties of semilinear functional differential inclusions in abstract spaces. Zbl 1105.34052
Gori, Candida; Obukhovskii, Valeri; Ragni, Marcello; Rubbioni, Paola
2006
Optimization of the motion of a viscoelastic fluid via multivalued topological degree method. Zbl 1116.76029
Gori, C.; Obukhovskii, V.; Rubbioni, P.; Zvyagin, V.
2007
On oriented coincidence index for nonlinear Fredholm inclusions. Zbl 1155.47311
Zecca, P.; Zvyagin, V. G.; Obukhovskii, V. V.
2006
Localization of the method of guiding functions in the problem about periodic solutions of differential inclusions. Zbl 1192.34019
Kornev, S. V.; Obukhovskii, V. V.
2009
Introduction to the theory of multi-valued mappings. (Vvedenie v teoriyu mnogoznachnykh otobrazhenij.) Zbl 0683.54001
Borisovich, Yu. G.; Gel’man, B. D.; Myshkis, A. D.; Obukhovskij, V. V.
1986
Stochastic differential inclusions of Langevin type of Riemannian manifolds. Zbl 1003.58027
Gliklikh, Yuri E.; Obukhovskij, V.
2001
An approximation solvability method for nonlocal differential problems in Hilbert spaces. Zbl 1378.34083
Benedetti, Irene; van Loi, Nguyen; Malaguti, Luisa; Obukhovskii, Valeri
2017
On semilinear integro-differential equations with nonlocal conditions in Banach spaces. Zbl 1244.34082
Tran Dinh Ke; Obukhovskii, Valeri; Wong, Ngai-Ching; Yao, Jen-Chih
2012
Existence and global bifurcation of solutions for a class of operator-differential inclusions. Zbl 1268.47075
Obukhovskii, Valeri; Nguyen Van Loi
2012
Almost periodic solutions at infinity of differential equations and inclusions. Zbl 1400.34103
Baskakov, Anatoly; Obukhovskii, Valeri; Zecca, Pietro
2018
Second order differential variational inequalities involving anti-periodic boundary value conditions. Zbl 1415.49008
Lu, Liang; Liu, Zhenhai; Obukhovskii, Valeri
2019
Multivalued maps and differential inclusions. Elements of theory and applications. Zbl 1454.49001
Obukhovskii, Valeri; Gel’man, Boris
2020
On nonsmooth multivalent guiding functions. Zbl 1079.34516
Kornev, S. V.; Obukhovskii, V. V.
2003
On the topological dimension of the solutions sets for some classes of operator and differential inclusions. Zbl 1041.47031
Bader, Ralf; Gel’man, Boris D.; Kamenskii, Mikhail; Obukhovskii, Valeri
2002
On the translation multioperator along the solutions of semilinear differential inclusions in Banach spaces. Zbl 0921.34017
Kamenski, Michail; Obukhovski, Valeri; Zecca, Pietro
1998
Condensing multioperators and periodic solutions of parabolic functional- differential inclusions in Banach spaces. Zbl 0778.34058
Kamenskij, M. I.; Obukhovskij, V. V.
1993
Semilinear functional-differential inclusions in a Banach space and controlled para bolic systems. Zbl 0791.93049
Obukhovskij, V. V.
1991
Method of solution sets for a quasilinear functional-differential inclusion in a Banach space. Zbl 0873.34064
Kamenskij, Mikhail; Obukhovskij, Valeri; Zecca, Pietro
1996
On some classes of operator inclusions with lower semicontinuous nonlinearities. Zbl 1002.47036
Bader, Ralf; Kamenskij, Mikhail; Obukhovskij, Valeri
2001
Guiding functions and periodic solutions for inclusions with causal multioperators. Zbl 1418.34128
Kornev, Sergei; Obukhovskii, Valeri; Zecca, Pietro
2017
Method of generalized integral guiding functions in the problem of the existence of periodic solutions for functional-differential inclusions. Zbl 1371.34108
Kornev, S. V.; Obukhovskii, V. V.; Zecca, Pietro
2016
On semilinear differential inclusions in Banach spaces with nondensely defined operators. Zbl 1205.34076
Obukhovskii, Valeri; Zecca, Pietro
2011
Non-smooth guiding functions and periodic solutions of functional differential inclusions with infinite delay in Hilbert spaces. Zbl 1287.34057
Van Loi, Nguyen; Obukhovskii, Valeri; Zecca, Pietro
2012
On topological index of solutions for variational inequalities on Riemannian manifolds. Zbl 1271.58009
Liou, Yeong-Cheng; Obukhovskii, Valeri; Yao, Jen-Chih
2012
On asymptotics of solutions for some classes of differential inclusions via the generalized guiding functions method. Zbl 1387.34033
Obukhovskii, Valeri; Kamenskii, Mikhail; Kornev, Sergey; Liou, Yeong-Cheng
2017
Non-smooth guiding potentials in problems on forced oscillations. Zbl 1195.93027
Kornev, S. V.; Obukhovskii, V. V.
2007
On topological characteristics for some classes of multivalued mappings. Zbl 07319012
Obukhovskiĭ, Valeriĭ Vladimirovich; Kornev, Sergeĭ Viktorovich; Getmanova, Ekaterina Nikolaevna
2020
Evolution fractional differential problems with impulses and nonlocal conditions. Zbl 1445.34091
Benedetti, Irene; Obukhovskii, Valeri; Taddei, Valentina
2020
On the global bifurcation for solutions of linear Fredholm inclusions with convex-valued perturbations. Zbl 1207.47067
Nguyen Van Loi; Obukhovskii, Valeri
2009
On equivariant multivalued mappings. Zbl 0261.55009
Izrailevich, Ya. A.; Obukhovskij, V. V.
1972
Controllability for a class of degenerate functional differential inclusions in a Banach space. Zbl 1166.93005
Liou, Y. C.; Obukhovskii, V.; Yao, J. C.
2008
On periodic solutions of differential inclusions with unbounded operators in Banach spaces. Zbl 0762.34004
Kamenskij, M. I.; Obukhovskij, V. V.
1991
On semilinear differential inclusions with lower semicontinuous nonlinearities. Zbl 1035.34066
Kamenskii, Mikhail; Obukhovskii, Valeri; Zecca, Pietro
2000
On an optimization problem for control systems of parabolic type. Zbl 1039.49501
Borisovich, Yu. G.; Obukhovskij, V. V.
1995
On some properties of dissipative functional differential inclusions in a Banach space. Zbl 0980.34059
Obukhovskij, Valeri; Zecca, Pietro
2000
On optima and equilibria in the game theory and economics. Zbl 1074.91579
Obukhoskij, V. V.
2000
On a class of multivalued maps. Zbl 1165.54304
Bader, R.; Gel’man, B. D.; Obukhovskij, V. V.
2002
New results in the theory of multivalued mappings. I: Topological characteristics and solvability of operator relations. Zbl 0711.55002
Borisovich, Yu. G.; Gel’man, B. D.; Myshkis, A. D.; Obukhovskij, V. V.
1990
Set-valued maps. Zbl 0514.54009
Borisovich, Yu. G.; Gel’man, B. D.; Myshkis, A. D.; Obukhovskij, V. V.
1982
A bifurcation of solutions of nonlinear Fredholm inclusions involving $$CJ$$-multimaps with applications to feedback control systems. Zbl 1343.47065
Nguyen Van Loi; Obukhovskii, Valeri; Yao, Jen-Chih
2013
A general boundary value problem for functional differential inclusions with infinite delay. Zbl 1361.34077
Basova, M. M.; Obukhovskiĭ, V. V.
2007
A multiparameter global bifurcation theorem with application to a feedback control system. Zbl 1344.34073
Loi, Nguyen Van; Obukhovskii, Valeri; Yao, Jen-Chih
2015
Controllability for systems governed by second-order differential inclusions with nonlocal conditions. Zbl 1292.93028
Ke, Tran Dinh; Obukhovskiĭ, Valeri
2013
On global bifurcation of periodic solutions for functional differential inclusions. Zbl 1232.34098
Nguyen Van Loi; Obukhovskii, Valeri
2010
On the existence of solutions for a class of second-order differential inclusions and applications. Zbl 1237.34118
Van Loi, Nguyen; Obukhovskii, Valeri
2012
Guiding functions for generalized periodic problems and applications. Zbl 1293.34021
Nguyen Van Loi; Obukhovskii, Valeri
2012
A note on random equilibrium points of two multivalued maps. Zbl 07015100
Getmanova, Ekaterina; Obukhovskii, Valeri
2018
Multivalued maps and differential inclusions. Elements of theory and applications. Zbl 1454.49001
Obukhovskii, Valeri; Gel&rsquo;man, Boris
2020
On topological characteristics for some classes of multivalued mappings. Zbl 07319012
Obukhovskiĭ, Valeriĭ Vladimirovich; Kornev, Sergeĭ Viktorovich; Getmanova, Ekaterina Nikolaevna
2020
Evolution fractional differential problems with impulses and nonlocal conditions. Zbl 1445.34091
Benedetti, Irene; Obukhovskii, Valeri; Taddei, Valentina
2020
Existence and approximation of solutions to nonlocal boundary value problems for fractional differential inclusions. Zbl 07054937
Kamenskii, M.; Obukhovskii, V.; Petrosyan, G.; Yao, Jen-Chih
2019
Second order differential variational inequalities involving anti-periodic boundary value conditions. Zbl 1415.49008
Lu, Liang; Liu, Zhenhai; Obukhovskii, Valeri
2019
Boundary value problems for semilinear differential inclusions of fractional order in a Banach space. Zbl 1467.34007
Kamenskii, Mikhail; Obukhovskii, Valeri; Petrosyan, Garik; Yao, Jen-Chih
2018
Almost periodic solutions at infinity of differential equations and inclusions. Zbl 1400.34103
Baskakov, Anatoly; Obukhovskii, Valeri; Zecca, Pietro
2018
A note on random equilibrium points of two multivalued maps. Zbl 07015100
Getmanova, Ekaterina; Obukhovskii, Valeri
2018
On semilinear fractional order differential inclusions in Banach spaces. Zbl 1364.34088
Kamenskii, Mikhail; Obukhovskii, Valeri; Petrosyan, Garik; Yao, Jen-Chih
2017
On approximate solutions for a class of semilinear fractional-order differential equations in Banach spaces. Zbl 1387.34027
Kamenskii, Mikhail; Obukhovskii, Valeri; Petrosyan, Garik; Yao, Jen-Chih
2017
Convex and set-valued analysis. Selected topics. Zbl 1357.49001
Arutyunov, Aram V.; Obukhovskii, Valeri
2017
On generalized boundary value problems for a class of fractional differential inclusions. Zbl 1391.34007
Benedetti, Irene; Obukhovskii, Valeri; Taddei, Valentina
2017
An approximation solvability method for nonlocal differential problems in Hilbert spaces. Zbl 1378.34083
Benedetti, Irene; van Loi, Nguyen; Malaguti, Luisa; Obukhovskii, Valeri
2017
Guiding functions and periodic solutions for inclusions with causal multioperators. Zbl 1418.34128
Kornev, Sergei; Obukhovskii, Valeri; Zecca, Pietro
2017
On asymptotics of solutions for some classes of differential inclusions via the generalized guiding functions method. Zbl 1387.34033
Obukhovskii, Valeri; Kamenskii, Mikhail; Kornev, Sergey; Liou, Yeong-Cheng
2017
Topological methods for some classes of differential variational inequalities. Zbl 1357.34044
Loi, Nguyen Van; Ke, Tran Dinh; Obukhovskii, Valeri; Zecca, Pietro
2016
Method of generalized integral guiding functions in the problem of the existence of periodic solutions for functional-differential inclusions. Zbl 1371.34108
Kornev, S. V.; Obukhovskii, V. V.; Zecca, Pietro
2016
Decay solutions for a class of fractional differential variational inequalities. Zbl 1319.49012
Dinh Ke, Tran; Van Loi, Nguyen; Obukhovskii, Valeri
2015
On noncompact fractional order differential inclusions with generalized boundary condition and impulses in a Banach space. Zbl 1325.34007
Benedetti, Irene; Obukhovskii, Valeri; Taddei, Valentina
2015
Asymptotic behavior of solutions of differential inclusions and the method of guiding functions. Zbl 1328.34021
Kornev, S. V.; Obukhovskii, V. V.
2015
A multiparameter global bifurcation theorem with application to a feedback control system. Zbl 1344.34073
Loi, Nguyen Van; Obukhovskii, Valeri; Yao, Jen-Chih
2015
Controllability for systems governed by semilinear evolution inclusions without compactness. Zbl 1311.34137
Benedetti, Irene; Obukhovskii, Valeri; Taddei, Valentina
2014
On inclusions with multivalued operators and their applications to some optimization problems. Zbl 1316.49025
Zvyagin, Victor; Obukhovskii, Valeri; Zvyagin, Andrey
2014
On asymptotics of solutions for a class of functional differential inclusions. Zbl 1315.34072
Kornev, Sergei; Obukhovskii, Valeri; Yao, Jen-Chih
2014
Existence and global bifurcation of periodic solutions to a class of differential variational inequalities. Zbl 1275.34088
Liu, Zhenhai; Van Loi, Nguyen; Obukhovskii, Valeri
2013
Method of guiding functions in problems of nonlinear analysis. Zbl 1282.34003
Obukhovskii, Valeri; Zecca, Pietro; Van Loi, Nguyen; Kornev, Sergei
2013
On the global bifurcation of periodic solutions of differential inclusions in Hilbert spaces. Zbl 1262.34073
Van Loi, Nguyen; Obukhovskii, Valeri; Zecca, Pietro
2013
On a class of fractional order differential inclusions with infinite delays. Zbl 1266.34131
Ke, Tran Dinh; Obukhovskii, Valeri; Wong, Ngai-Ching; Yao, Jen-Chih
2013
A bifurcation of solutions of nonlinear Fredholm inclusions involving $$CJ$$-multimaps with applications to feedback control systems. Zbl 1343.47065
Nguyen Van Loi; Obukhovskii, Valeri; Yao, Jen-Chih
2013
Controllability for systems governed by second-order differential inclusions with nonlocal conditions. Zbl 1292.93028
Ke, Tran Dinh; Obukhovskiĭ, Valeri
2013
Approximate controllability for systems governed by nonlinear Volterra type equations. Zbl 1252.93025
Ke, Tran Dinh; Obukhovskii, Valeri; Wong, Ngai-Ching; Yao, Jen-Chih
2012
On semilinear integro-differential equations with nonlocal conditions in Banach spaces. Zbl 1244.34082
Tran Dinh Ke; Obukhovskii, Valeri; Wong, Ngai-Ching; Yao, Jen-Chih
2012
Existence and global bifurcation of solutions for a class of operator-differential inclusions. Zbl 1268.47075
Obukhovskii, Valeri; Nguyen Van Loi
2012
Non-smooth guiding functions and periodic solutions of functional differential inclusions with infinite delay in Hilbert spaces. Zbl 1287.34057
Van Loi, Nguyen; Obukhovskii, Valeri; Zecca, Pietro
2012
On topological index of solutions for variational inequalities on Riemannian manifolds. Zbl 1271.58009
Liou, Yeong-Cheng; Obukhovskii, Valeri; Yao, Jen-Chih
2012
On the existence of solutions for a class of second-order differential inclusions and applications. Zbl 1237.34118
Van Loi, Nguyen; Obukhovskii, Valeri
2012
Guiding functions for generalized periodic problems and applications. Zbl 1293.34021
Nguyen Van Loi; Obukhovskii, Valeri
2012
Introduction to the theory of multi-valued mappings and differential inclusions. With a preface by Gel’man and Obukhovskiĭ. 2nd revised and enlarged ed. (Введение в теорию многозначных отображений и дифференциальных включений.) Zbl 1231.54001
Borisovich, Yu. G.; Gel&rsquo;man, B. D.; Myshkis, A. D.; Obukhovskiĭ, V. V.
2011
Controllability for impulsive semilinear functional differential inclusions with a non-compact evolution operator. Zbl 1264.93022
Benedetti, Irene; Obukhovskii, Valeri; Zecca, Pietro
2011
On certain classes of functional inclusions with causal operators in Banach spaces. Zbl 1225.47082
Obukhovskii, Valeri; Zecca, Pietro
2011
On semilinear differential inclusions in Banach spaces with nondensely defined operators. Zbl 1205.34076
Obukhovskii, Valeri; Zecca, Pietro
2011
Some existence results for fractional functional differential equations. Zbl 1202.34141
Obukhovskii, Valeri; Yao, Jen-Chih
2010
On impulsive functional differential inclusions with Hille-Yosida operators in Banach spaces. Zbl 1214.34052
Obukhovskii, Valeri; Yao, Jen-Chih
2010
On global bifurcation of periodic solutions for functional differential inclusions. Zbl 1232.34098
Nguyen Van Loi; Obukhovskii, Valeri
2010
Locally covering maps in metric spaces and coincidence points. Zbl 1182.54050
Arutyunov, Aram; Avakov, Evgeniy; Gel&rsquo;man, Boris; Dmitruk, Andrei; Obukhovskii, Valeri
2009
Controllability for systems governed by semilinear differential inclusions in a Banach space with a noncompact semigroup. Zbl 1157.93006
Obukhovski, Valeri; Zecca, Pietro
2009
Localization of the method of guiding functions in the problem about periodic solutions of differential inclusions. Zbl 1192.34019
Kornev, S. V.; Obukhovskii, V. V.
2009
On the global bifurcation for solutions of linear Fredholm inclusions with convex-valued perturbations. Zbl 1207.47067
Nguyen Van Loi; Obukhovskii, Valeri
2009
Application of a coincidence index to some classes of impulsive control systems. Zbl 1163.47043
Liou, Y. C.; Obukhovskii, V.; Yao, J. C.
2008
On the index of solvability for variational inequalities in Banach spaces. Zbl 1148.47046
Benedetti, Irene; Obukhovskii, Valeri
2008
Controllability for a class of degenerate functional differential inclusions in a Banach space. Zbl 1166.93005
Liou, Y. C.; Obukhovskii, V.; Yao, J. C.
2008
Optimization of the motion of a viscoelastic fluid via multivalued topological degree method. Zbl 1116.76029
Gori, C.; Obukhovskii, V.; Rubbioni, P.; Zvyagin, V.
2007
Non-smooth guiding potentials in problems on forced oscillations. Zbl 1195.93027
Kornev, S. V.; Obukhovskii, V. V.
2007
A general boundary value problem for functional differential inclusions with infinite delay. Zbl 1361.34077
Basova, M. M.; Obukhovskiĭ, V. V.
2007
An oriented coincidence index for nonlinear Fredholm inclusions with nonconvex-valued perturbations. Zbl 1130.47034
Obukhovskii, Valeri; Zecca, Pietro; Zvyagin, Victor
2006
On solutions of differential inclusions in homogeneous spaces of functions. Zbl 1113.34045
Baskakov, Anatolii; Obukhovskii, Valeri; Zecca, Pietro
2006
On some properties of semilinear functional differential inclusions in abstract spaces. Zbl 1105.34052
Gori, Candida; Obukhovskii, Valeri; Ragni, Marcello; Rubbioni, Paola
2006
On oriented coincidence index for nonlinear Fredholm inclusions. Zbl 1155.47311
Zecca, P.; Zvyagin, V. G.; Obukhovskii, V. V.
2006
Introduction to the theory of multivalued maps and differential inclusions. (Введение в теорию многозначных отображений и дифференциальных включений.) Zbl 1126.34001
Borisovich, Yu. G.; Gel&rsquo;man, B. D.; Myshkis, A. D.; Obukhovskiĭ, V. V.
2005
On some developments of the method of integral guiding functions. Zbl 1081.34070
Kornev, S.; Obukhovskii, V.
2005
Optimal feedback control in the problem of the motion of a viscoelastic fluid. Zbl 1259.49006
Obukhovskiĭ, Valeri; Zecca, Pietro; Zvyagin, Viktor
2004
On boundary value problems for degenerate differential inclusions in Banach spaces. Zbl 1076.34070
Obukhovskii, Valeri; Zecca, Pietro
2003
Multivalued linear operators and differential inclusions in Banach spaces. Zbl 1059.34036
Baskakov, Anatolii; Obukhovoskii, Valeri; Zecca, Pietro
2003
On nonsmooth multivalent guiding functions. Zbl 1079.34516
Kornev, S. V.; Obukhovskii, V. V.
2003
Existence and continuous dependence results for semilinear functional differential inclusions with infinite delay. Zbl 1018.34076
Gori, Candida; Obukhovskii, Valeri; Ragni, Marcello; Rubbioni, Paola
2002
On coincidence index for multivalued perturbations of nonlinear Fredholm maps and some applications. Zbl 1038.47042
Obukhovskii, Valeri; Zecca, Pietro; Zvyagin, Victor
2002
On the topological dimension of the solutions sets for some classes of operator and differential inclusions. Zbl 1041.47031
Bader, Ralf; Gel&rsquo;man, Boris D.; Kamenskii, Mikhail; Obukhovskii, Valeri
2002
On a class of multivalued maps. Zbl 1165.54304
Bader, R.; Gel&rsquo;man, B. D.; Obukhovskij, V. V.
2002
Condensing multivalued maps and semilinear differential inclusions in Banach spaces. Zbl 0988.34001
Kamenskii, M.; Obukhovskii, V.; Zecca, Pietro
2001
Stochastic differential inclusions of Langevin type of Riemannian manifolds. Zbl 1003.58027
Gliklikh, Yuri E.; Obukhovskij, V.
2001
On some classes of operator inclusions with lower semicontinuous nonlinearities. Zbl 1002.47036
Bader, Ralf; Kamenskij, Mikhail; Obukhovskij, Valeri
2001
On a controllability problem for systems governed by semilinear functional differential inclusions in Banach spaces. Zbl 0964.34071
Obukhovskij, Valeri; Rubbioni, Paola
2000
On semilinear differential inclusions with lower semicontinuous nonlinearities. Zbl 1035.34066
Kamenskii, Mikhail; Obukhovskii, Valeri; Zecca, Pietro
2000
On some properties of dissipative functional differential inclusions in a Banach space. Zbl 0980.34059
Obukhovskij, Valeri; Zecca, Pietro
2000
On optima and equilibria in the game theory and economics. Zbl 1074.91579
Obukhoskij, V. V.
2000
On the translation multioperator along the solutions of semilinear differential inclusions in Banach spaces. Zbl 0921.34017
Kamenski, Michail; Obukhovski, Valeri; Zecca, Pietro
1998
On the topological structure of the solution set for a semilinear functional-differential inclusion in a Banach space. Zbl 0845.34027
Conti, Giuseppe; Obukhovskij, Valeri; Zecca, Pietro
1996
Method of solution sets for a quasilinear functional-differential inclusion in a Banach space. Zbl 0873.34064
Kamenskij, Mikhail; Obukhovskij, Valeri; Zecca, Pietro
1996
On an optimization problem for control systems of parabolic type. Zbl 1039.49501
Borisovich, Yu. G.; Obukhovskij, V. V.
1995
Optimal feedback control for a semilinear evolution equation. Zbl 0817.49002
Kamenskij, M. I.; Nistri, P.; Obukhovskij, V. V.; Zecca, P.
1994
On the solvability of systems of inclusions involving noncompact operators. Zbl 0793.47050
Nistri, P.; Obukhovskij, V. V.; Zecca, P.
1994
Condensing multioperators and periodic solutions of parabolic functional- differential inclusions in Banach spaces. Zbl 0778.34058
Kamenskij, M. I.; Obukhovskij, V. V.
1993
Semilinear functional-differential inclusions in a Banach space and controlled para bolic systems. Zbl 0791.93049
Obukhovskij, V. V.
1991
On periodic solutions of differential inclusions with unbounded operators in Banach spaces. Zbl 0762.34004
Kamenskij, M. I.; Obukhovskij, V. V.
1991
New results in the theory of multivalued mappings. I: Topological characteristics and solvability of operator relations. Zbl 0711.55002
Borisovich, Yu. G.; Gel&rsquo;man, B. D.; Myshkis, A. D.; Obukhovskij, V. V.
1990
Multivalued analysis and operator inclusions. Zbl 0725.54015
Borisovich, Yu. G.; Gel&rsquo;man, B. D.; Myshkis, A. D.; Obukhovskij, V. V.
1987
Introduction to the theory of multi-valued mappings. (Vvedenie v teoriyu mnogoznachnykh otobrazhenij.) Zbl 0683.54001
Borisovich, Yu. G.; Gel&rsquo;man, B. D.; Myshkis, A. D.; Obukhovskij, V. V.
1986
Multivalued mappings. Zbl 0529.54013
Borisovich, Yu. G.; Gel&rsquo;man, B. D.; Myshkis, A. D.; Obukhovskij, V. V.
1984
On the topological degree for a class of non-compact multivalued mappings. Zbl 0599.54022
Obukhovskij, V. V.
1984
Set-valued maps. Zbl 0514.54009
Borisovich, Yu. G.; Gel&rsquo;man, B. D.; Myshkis, A. D.; Obukhovskij, V. V.
1982
Topological methods in the fixed-point theory of multi-valued maps. Zbl 0464.55003
Borisovich, Yu. G.; Gel&rsquo;man, B. D.; Myshkis, A. D.; Obukhovskij, V. V.
1980
On equivariant multivalued mappings. Zbl 0261.55009
Izrailevich, Ya. A.; Obukhovskij, V. V.
1972
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#### Cited in 171 Serials

 32 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 24 Journal of Mathematical Analysis and Applications 20 Journal of Fixed Point Theory and Applications 17 Applicable Analysis 17 Applied Mathematics and Computation 15 Differential Equations 15 Advances in Difference Equations 14 Abstract and Applied Analysis 14 Set-Valued and Variational Analysis 13 Journal of Optimization Theory and Applications 12 Doklady Mathematics 10 Mathematical Notes 10 Russian Mathematics 9 Journal of Differential Equations 9 Fractional Calculus & Applied Analysis 8 Journal of Mathematical Sciences (New York) 8 Differential Equations and Dynamical Systems 8 Fixed Point Theory and Applications 7 Topology and its Applications 7 Optimization 6 Computers & Mathematics with Applications 6 Proceedings of the Steklov Institute of Mathematics 5 Zeitschrift für Analysis und ihre Anwendungen 5 Automation and Remote Control 5 Mediterranean Journal of Mathematics 5 Journal of Function Spaces 4 Mathematical Methods in the Applied Sciences 4 Annali di Matematica Pura ed Applicata. Serie Quarta 4 Topological Methods in Nonlinear Analysis 4 Journal of Dynamical and Control Systems 4 Nonlinear Analysis. Real World Applications 4 Discrete and Continuous Dynamical Systems. Series B 4 Journal of Nonlinear Science and Applications 3 Ukrainian Mathematical Journal 3 SIAM Journal on Control and Optimization 3 Siberian Mathematical Journal 3 Mathematical and Computer Modelling 3 Journal of Integral Equations and Applications 3 Journal of Global Optimization 3 Set-Valued Analysis 3 Discrete and Continuous Dynamical Systems 3 Acta Mathematica Sinica. English Series 3 Nonlinear Analysis. Modelling and Control 3 Journal of Evolution Equations 3 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 3 Central European Journal of Mathematics 3 Chebyshevskiĭ Sbornik 3 Nonlinear Analysis. Hybrid Systems 3 Nonautonomous Dynamical Systems 2 Journal of Applied Mathematics and Mechanics 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Chaos, Solitons and Fractals 2 Applied Mathematics and Optimization 2 Numerical Functional Analysis and Optimization 2 Results in Mathematics 2 Stochastic Analysis and Applications 2 Applications of Mathematics 2 Mathematical Programming. Series A. Series B 2 Journal of Dynamics and Differential Equations 2 SIAM Journal on Optimization 2 NoDEA. Nonlinear Differential Equations and Applications 2 Sbornik: Mathematics 2 Arab Journal of Mathematical Sciences 2 Journal of Applied Analysis 2 Taiwanese Journal of Mathematics 2 Matematicheskie Trudy 2 Journal of Applied Mathematics 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Journal of Function Spaces and Applications 2 Cubo 2 Boundary Value Problems 2 Journal of Mathematical Inequalities 2 Vestnik Yuzhno-Ural’skogo Gosudarstvennogo Universiteta. Seriya Matematicheskoe Modelirovanie i Programmirovanie 2 Advances in Mathematical Physics 2 Afrika Matematika 2 Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika 2 Evolution Equations and Control Theory 2 Advances in Nonlinear Analysis 2 Open Mathematics 1 Bulletin of the Australian Mathematical Society 1 International Journal of Control 1 Indian Journal of Pure & Applied Mathematics 1 Inverse Problems 1 Israel Journal of Mathematics 1 Linear and Multilinear Algebra 1 Nonlinearity 1 Prikladnaya Matematika i Mekhanika 1 Annales Polonici Mathematici 1 Collectanea Mathematica 1 Commentationes Mathematicae Universitatis Carolinae 1 Czechoslovak Mathematical Journal 1 Functional Analysis and its Applications 1 Journal of Approximation Theory 1 Journal of Computational and Applied Mathematics 1 Journal of Functional Analysis 1 Journal of Soviet Mathematics 1 Kybernetika 1 Mathematische Annalen 1 Mathematische Nachrichten 1 Mathematica Slovaca ...and 71 more Serials
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#### Cited in 30 Fields

 299 Ordinary differential equations (34-XX) 250 Operator theory (47-XX) 94 Calculus of variations and optimal control; optimization (49-XX) 91 Partial differential equations (35-XX) 87 Systems theory; control (93-XX) 55 General topology (54-XX) 37 Integral equations (45-XX) 33 Real functions (26-XX) 19 Probability theory and stochastic processes (60-XX) 18 Dynamical systems and ergodic theory (37-XX) 17 Algebraic topology (55-XX) 16 Global analysis, analysis on manifolds (58-XX) 16 Fluid mechanics (76-XX) 16 Operations research, mathematical programming (90-XX) 14 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 12 Functional analysis (46-XX) 9 Mechanics of deformable solids (74-XX) 8 Numerical analysis (65-XX) 4 Order, lattices, ordered algebraic structures (06-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Computer science (68-XX) 3 Biology and other natural sciences (92-XX) 2 Measure and integration (28-XX) 2 Special functions (33-XX) 2 Difference and functional equations (39-XX) 2 Approximations and expansions (41-XX) 1 Abstract harmonic analysis (43-XX) 1 Convex and discrete geometry (52-XX) 1 Statistics (62-XX) 1 Statistical mechanics, structure of matter (82-XX)

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