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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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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 +2 more
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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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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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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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Evolutionary Oseen model for generalized Newtonian fluid with Multivalued Nonmonotone Friction Law [PDF]
, 2018 The paper deals with the non-stationary Oseen system of equations for the generalized Newtonian incompressible fluid with multivalued and nonmonotone frictional slip boundary conditions.
Dudek, Sylwia, Migórski, Stanisław
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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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Implicit Multifunction Theorems in Banach Spaces
Journal of Applied Mathematics, 2014 This paper is mainly devoted to the study of implicit multifunction theorems in terms of Clarke coderivative in general Banach spaces. We present new sufficient conditions for the local metric regularity, metric regularity, Lipschitz-like property ...
Ming-ge Yang, Yi-fan Xu
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