Results 1 to 10 of about 8,272,044 (305)
Journal of Optimization, Differential Equations and Their Applications, 2023 We investigate the optimal control problem with respect to coefficients of the degenerate parabolic variational inequality. Since problems of this type can have the Lavrentieff effect, we consider the optimal control problem in a class of so-called ...
Nina V. Kasimova +2 more
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On some differential equations involving a new kind of variable exponents
Electronic Journal of Qualitative Theory of Differential Equations, 2022 In this paper, we are concerned with some new first order differential equation defined on the whole real axis $\mathbb{R}.$ The principal part of the equation involves an operator with variable exponent $p$ depending on the variable $x \in \mathbb{R ...
Sami Aouaoui
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Existence result for hemivariational inequality involving p(x)-Laplacian [PDF]
Opuscula Mathematica, 2012 In this paper we study the nonlinear elliptic problem with \(p(x)\)-Laplacian (hemivariational inequality).We prove the existence of a nontrivial solution.
Sylwia Barnaś
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Existence results and a priori estimates for solutions of quasilinear problems with gradient terms [PDF]
Opuscula Mathematica, 2019 In this paper we establish a priori estimates and then an existence theorem of positive solutions for a Dirichlet problem on a bounded smooth domain in \(\mathbb{R}^N\) with a nonlinearity involving gradient terms.
Roberta Filippucci, Chiara Lini
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Vìsnik Dnìpropetrovsʹkogo Unìversitetu: Serìâ Modelûvannâ, 2016 We study a Dirichlet optimal control problem for a nonlinear elliptic anisotropic p-Laplace equation with control and state constraints. The matrix-valued coecients we take as controls and in the linear part of dierential operator we consider coecients ...
O. P. Kupenko
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Vìsnik Dnìpropetrovsʹkogo Unìversitetu: Serìâ Modelûvannâ, 2017 В роботе исследуется проблема разрешимости и вопросы регулярности слабых решений одного класса начально-краевых задач, возникающих при изучении динамики кардио-артериальных систем.
P. I. Kogut, Yu. A. Maksimenkova
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Periodic impulsive fractional differential equations
Advances in Nonlinear Analysis, 2017 This paper deals with the existence of periodic solutions of fractional differential equations with periodic impulses. The first part of the paper is devoted to the uniqueness, existence and asymptotic stability results for periodic solutions of ...
Fečkan Michal, Wang Jin Rong
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General Fractional Integro-Differential Equation of Order $\varrho\in(2,3]$ Involving Integral Boundary Conditions [PDF]
Sahand Communications in Mathematical AnalysisIn this paper, we are interested in studying an integro-differential equation with two-point integral boundary conditions using the Caputo fractional derivative of order $2< \varrho \leq 3$.
Abdelati El Allaoui
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On existence of weak solutions to a Cauchy problem for one class of conservation laws
Vìsnik Dnìpropetrovsʹkogo Unìversitetu: Serìâ Modelûvannâ, 2015 We discuss the existence of weak solutions to the Cauchy problem for one classof hyperbolic conservation laws that models a highly re-entrant production system.The output of the factory is described as a function of the work in progress and theposition ...
P. I. Kogut, R. Manzo
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On Henig Regularization of State-Constrained Optimal Control Problem for the p-Laplace Equation
Vìsnik Dnìpropetrovsʹkogo Unìversitetu: Serìâ Modelûvannâ, 2015 We study a Dirichlet optimal control problem for a quasilinear monotone p-Laplace equation with control and state constraints. The coefficient of the p-Laplacian, the weight u, we take as a control in L1(Ω).
P. I. Kogut, O. P. Kupenko
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