Results 41 to 50 of about 351 (168)
Viability problem with perturbation in Hilbert space
Electronic Journal of Qualitative Theory of Differential Equations, 2007 This paper deals with the existence result of viable solutions of the differential inclusion $$\dot{x}(t) \in f(t,x(t)) + F(x(t))$$ $$x(t) \in K \quad \text{on } [0,T],$$ where $K$ is a locally compact subset in separable Hilbert space $H,$ $(f(s,\cdot))
A. Ait, S. Sajid
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Abstract and Applied Analysis, 2003 The notions of relaxed submonotone and relaxed monotone mappings in Banach spaces are introduced and many of their properties are investigated. For example, the Clarke subdifferential of a locally Lipschitz function in a separable Banach space is relaxed
Tzanko Donchev, Pando Georgiev
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Hidden maximal monotonicity in evolutionary variational-hemivariational inequalities
Nonlinear Analysis, 2021 In this paper, we propose a new methodology to study evolutionary variational-hemivariational inequalities based on the theory of evolution equations governed by maximal monotone operators. More precisely, the proposed approach, based on a hidden maximal
Emilio Vilches, Shengda Zeng
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Minimization of nonsmooth integral functionals
International Journal of Mathematics and Mathematical Sciences, 1992 In this paper we examine optimization problems involving multidimensional nonsmooth integral functionals defined on Sobolev spaces. We obtain necessary and sufficient conditions for optimality in convex, finite dimensional problems using techniques from ...
Nikolaos S. Papageorgiou +1 more
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Journal of Function Spaces, 2020 In this paper, we consider the evolutionary Navier-Stokes equations subject to the nonslip boundary condition together with a Clarke subdifferential relation between the dynamic pressure and the normal component of the velocity. Under the Rauch condition,
Hicham Mahdioui +2 more
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Separable determination of integrability and minimality of the Clarke subdifferential mapping [PDF]
Proceedings of the American Mathematical Society, 1999 In this paper we show that the study of integrability and D D -representability of Lipschitz functions defined on arbitrary
Borwein, Jonathan M., Moors, Warren B.
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Complexity, 2020 This paper is devoted to the investigation of optimality conditions for approximate quasi weak efficient solutions for a class of vector equilibrium problem (VEP).
Yameng Zhang, Guolin Yu, Wenyan Han
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Nonlinear Analysis, 2019 In this paper, we mainly consider a control system governed by a Hilfer fractional evolution hemivariational inequality with a nonlocal initial condition.
Yatian Pei, Yong-Kui Chang
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Journal of Mathematics, Volume 2026, Issue 1, 2026.This paper defines a strong convertible nonconvex (SCN) function for solving the unconstrained optimization problems with the nonconvex or nonsmooth (nondifferentiable) function. First, the concept of SCN function is defined, where the SCN functions are nonconvex or nonsmooth.
Min Jiang +4 more
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On the Clarke Subdifferential of an Integral Functional on Lp, 1 ≤ p < ∞
, 1998 Given an integral functional defined on Lp, 1 ≤ p < ∞, under a growth condition we give an upper bound of the Clarke directional derivative and we obtain a nice inclusion between the Clarke subdifferential of the integral functional and the set of ...
E. Giner
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