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Existence and controllability for stochastic evolution inclusions of Clarke's subdifferential type [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2015 In this paper, we investigate a class of stochastic evolution inclusions of Clarke's subdifferential type in Hilbert spaces. The existence of mild solutions and controllability results are given and proved by using stochastic analysis techniques ...
Yunxiang Li, Liang Lu
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Efficient Automatic Subdifferentiation for Programs with Linear Branches
Mathematics, 2023 Computing an element of the Clarke subdifferential of a function represented by a program is an important problem in modern non-smooth optimization.
Sejun Park
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Null Controllability of Hilfer Fractional Stochastic Differential Inclusions
Fractal and Fractional, 2022 This paper gives the null controllability for nonlocal stochastic differential inclusion with the Hilfer fractional derivative and Clarke subdifferential.
Hamdy M. Ahmed +3 more
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Fractal and Fractional, 2023 In this study, the multivalued fixed point theorem, Clarke subdifferential properties, fractional calculus, and stochastic analysis are used to arrive at the system’s mild solution (1). Furthermore, the mean square moment for the aforementioned system (1)
Dimplekumar Chalishajar +3 more
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Results in Control and Optimization, 2023 This manuscript is devoted to analyse the solvability and trajectory controllability of Hilfer fractional non-instantaneous impulsive stochastic differential inclusion with Clarke subdifferential and deviated argument.
N. Durga, Muslim Malik
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Monotonicity Arguments for Variational–Hemivariational Inequalities in Hilbert Spaces
Axioms, 2022 We consider a variational–hemivariational inequality in a real Hilbert space, which depends on two parameters. We prove that the inequality is governed by a maximal monotone operator, then we deduce various existence, uniqueness and equivalence results ...
Mircea Sofonea
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Constrained Nonsmooth Problems of the Calculus of Variations
, 2021 The paper is devoted to an analysis of optimality conditions for nonsmooth multidimensional problems of the calculus of variations with various types of constraints, such as additional constraints at the boundary and isoperimetric constraints.
Dolgopolik, M. V.
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A study of nonlocal fractional delay differential equations with hemivariational inequality
AIMS Mathematics, 2023 In this paper, we study an abstract system of fractional delay differential equations of order $ 1 < q < 2 $ with a hemivariational inequality in Banach spaces.
Ebrahem A. Algehyne +4 more
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Well-posedness analysis of a stationary Navier–Stokes hemivariational inequality
Fixed Point Theory and Algorithms for Sciences and Engineering, 2021 This paper provides a well-posedness analysis for a hemivariational inequality of the stationary Navier-Stokes equations by arguments of convex minimization and the Banach fixed point.
Min Ling, Weimin Han
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Results in Control and Optimization, 2023 In this article, the solvability, Trajectory(T-) and optimal controllability of stochastic integrodifferential inclusions with Clarke subdifferential along with deviated arguments and Poisson jumps are analyzed which are new and untreated topics in the ...
K. Ramkumar +2 more
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