Search Results - "Zhukovskiy, Sergey"

On implicit function theorem for locally Lipschitz equations by Arutyunov, Aram V., Zhukovskiy, Sergey E.

“…Equations defined by locally Lipschitz continuous mappings with a parameter are considered. Implicit function theorems for this equation are obtained. The…”
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Smoothing Procedure for Lipschitzian Equations and Continuity of Solutions by Arutyunov, Aram V., Zhukovskiy, Sergey E.

“…The paper is devoted to the question of existence of continuous implicit functions for non-smooth equations. The equation f ( x , σ ) = 0 is studied with the…”
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Coincidence Points of Parameterized Generalized Equations with Applications to Optimal Value Functions by Arutyunov, Aram V., Mordukhovich, Boris S., Zhukovskiy, Sergey E.

“…The paper studies coincidence points of parameterized set-valued mappings (multifunctions), which provide an extended framework to cover several important…”
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Continuous Selections of Solutions for Locally Lipschitzian Equations by Arutyunov, Aram V., Izmailov, Alexey F., Zhukovskiy, Sergey E.

“…This paper answers in the affirmative the long-standing question of nonlinear analysis, concerning the existence of a continuous single-valued local selection…”
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Theorems of the Alternative for Systems of Convex Inequalities by Arutyunov, Aram V., Zhukovskiy, Sergey E., Marinkovic, Boban

“…Systems of convex inequalities in function spaces are considered. Solvability conditions are obtained in the form of a theorem of the alternative. We revisit…”
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Kantorovich’s Fixed Point Theorem and Coincidence Point Theorems for Mappings in Vector Metric Spaces by Arutyunov, Aram V., Zhukovskiy, Evgeny S., Zhukovskiy, Sergey E., Zhukovskaya, Zukhra T.

“…The fixed points and coincidence points of mappings of v-metric spaces, i.e., sets on which a vector metric is defined, are investigated. The values of such a…”
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Caristi-Like Condition and the Existence of Minima of Mappings in Partially Ordered Spaces by Arutyunov, Aram V., Zhukovskiy, Evgeny S., Zhukovskiy, Sergey E.

“…In this paper, we study mappings acting in partially ordered spaces. For these mappings, we introduce a condition, analogous to the Caristi-like condition,…”
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On Solvability Conditions for Nonlinear Equations and Equilibrium Price by Arutyunov, Aram V., Zhukovskaya, Zukhra T., Zhukovskiy, Sergey E.

“…We study the coincidence point problem for smooth mappings of finite-dimensional spaces. We obtain sufficient conditions for the existence of coincidence…”
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On stability and oscillation of equations with a distributed delay which can be reduced to difference equations by Sergey Zhukovskiy, Elena Braverman

“…For the equation with a distributed delay $$ x'(t) + ax(t)+ int_0^1 x(s+[t-1])d R(s)=0 $$ we obtain necessary and sufficient conditions of stability,…”
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On the Existence of Admissible Positional Controls for Systems with Mixed Constraints by Arutyunov, Aram V., Zhukovskaya, Zukhra T., Zhukovskiy, Sergey E.

“…Control systems with geometric constraints and both equality- and inequality-type constraints are considered. For these systems, we study the question of the…”
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On The Existence of Minima of Differentiable Functions in Normed Spaces by Arutyunov, Aram V., Zhukovskiy, Sergey E.

“…We consider the problem of minimizing of a differentiable functional defined on a convex subset of a normed space. The classical conditions for the existence…”
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Stability of Minima in Constrained Optimization Problems and Implicit Function Theorem by Arutyunov, Aram V., Tsarkov, Kirill A., Zhukovskiy, Sergey E.

“…In the paper, we consider both finite-dimensional and infinite-dimensional optimization problems with inclusion-type and equality-type constraints. We obtain…”
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On Covering Properties in Variational Analysis and Optimization by Zhukovskiy, Sergey

“…The paper is devoted to investigation of covering mappings in metric spaces. In the first part of the paper different covering properties are compared to each…”
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Local Solvability of Control Systems with Implicit Dynamics by Arutyunov, Aram V., Zhukovskaya, Zukhra T., Zhukovskiy, Sergey E.

“…Control systems with implicit set-valued dynamics, mixed constraints and geometric constraints on the control are considered. Sufficient conditions for local…”
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Continuous Dependence of Coincidence Points on a Parameter by Arutyunov, Aram, Zhukovskiy, Sergey

“…The coincidence points existence problem with a parameter is considered. Sufficient conditions for dependence of a coincidence point on a parameter to be…”
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The problem of a lazy tester, or exponential dichotomy for impulsive differential equations revisited by Braverman, Elena, Zhukovskiy, Sergey

“…For the impulsive equation in a Banach space x ′ ( t ) + A ( t ) x ( t ) = 0 , t ≥ 0 , x ( τ j ) = B j x ( τ j − ) + α j , we study the type of stability which…”
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On the solvability of implicit differential inclusions by Arutyunov, Aram, de Oliveira, Valeriano Antunes, Lobo Pereira, Fernando, Zhukovskiy, Evgeniy, Zhukovskiy, Sergey

“…In the paper, the set-valued covering mappings are studied. The statements on solvability, solution estimates, and well-posedness of inclusions with…”
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On Control Problems with Degenerate Constraints by Arutyunov, Aram V., Zhukovskaya, Zukhra T., Zhukovskiy, Sergey E.

“…In this paper, we study control problems with mixed constraints. We consider a very general regularity condition, which is sufficient for the existence of…”
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Coincidence Points of Parameterized Generalized Equations with Applications to Optimal Value Functions by Arutyunov, Aram V, Mordukhovich, Boris S, Zhukovskiy, Sergey E

“…The paper studies coincidence points of parameterized set-valued mappings (multifunctions), which provide an extended framework to cover several important…”
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Equilibrium in continuous dynamic market models by Pavlova, Natalya, Zhukovskaya, Zukhra, Zhukovskiy, Sergey

“…The existence of equilibrium price vector functions in continuous dynamic models of the market is studied. The sufficient conditions for the existence of the…”
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