Results 1 to 10 of about 351 (168)
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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Linear Structure of Functions with Maximal Clarke Subdifferential [PDF]
SIAM Journal on Optimization, 2019 It is hereby established that the set of Lipschitz functions $f:\mathcal{U}\rightarrow \mathbb{R}$ ($\mathcal{U}$ nonempty open subset of $\ell_{d}^{1}$) with maximal Clarke subdifferential contains a linear subspace of uncountable dimension (in particular, an isometric copy of $\ell^{\infty}(\mathbb{N})$).
Aris Daniilidis, Gonzalo Flores
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Convergence of a double step scheme for a class of parabolic Clarke subdifferential inclusions☆
Communications in Nonlinear Science and Numerical Simulation, 2021 In this paper we deal with a first order evolution inclusion involving a multivalued term generated by a Clarke subdifferential of a locally Lipschitz potential. For this problem we construct a double step time-semidiscrete approximation, known as the Rothe scheme.
Krzysztof Bartosz, Paweł Szafraniec
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Existence and controllability for stochastic evolution inclusions of Clarke's subdifferential type
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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Evolution inclusions with Clarke subdifferential type in Hilbert space
Mathematical and Computer Modelling, 2010 The authors consider the existence of solutions for differential inclusions of the form \[ \begin{aligned} -\dot{x}(t) &\in \partial _{C}\phi (x(t))+G(t,x(t)),\\ x(0) &=x_0\end{aligned}\tag{1} \] in a real, separable Hilbert space \(H\), where \(\partial _{C}\) denotes the Clarke subdifferential.
Sitian Qin, Xiaoping Xue
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Bulletin of the Malaysian Mathematical Sciences Society, 2022 AbstractIn this paper, Sobolev-type conformable fractional stochastic evolution inclusions with Clarke subdifferential and nonlocal conditions are studied. By using fractional calculus, stochastic analysis, properties of Clarke subdifferential and nonsmooth analysis, sufficient conditions for nonlocal controllability for the considered problem are ...
Hamdy M Ahmed +2 more
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Computers and Mathematics With Applications, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhenhai Liu +2 more
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Controllability and constrained controllability for nonlocal Hilfer fractional differential systems with Clarke’s subdifferential [PDF]
Journal of Inequalities and Applications, 2019 Sobolev-type nonlocal fractional differential systems with Clarke’s subdifferential are studied. Sufficient conditions for controllability and constrained controllability for Sobolev-type nonlocal fractional differential systems with Clarke’s ...
Hamdy M. Ahmed +3 more
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On Clarke's Subdifferential of Marginal Functions [PDF]
Applied Set-Valued Analysis and Optimization, 2021 In this short note, we derive an upper estimate of Clarke's subdifferential of marginal functions in Banach spaces. The structure of the upper estimate is very similar to other results already obtained in the literature. The novelty lies on the fact that we derive our assertions in general Banach spaces, and avoid the use of the Asplund assumption.
Bouza, Gemayqzel +2 more
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A New Weak Slater Constraint Qualification for Non-Smooth Multi-Objective Semi-Infinite Programming Problems [PDF]
Control and Optimization in Applied Mathematics, 2023 This paper addresses a non-smooth multi-objective semi-infinite programming problem that involves a feasible set defined by inequality constraints. Our focus is on introducing a new weak Slater constraint qualification and deriving the necessary and ...
Hamed Soroush
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