Results 31 to 40 of about 941 (143)
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
doaj +1 more source
Journal of Applied Mathematics, 2012 The concept of well-posedness for a minimization problem is extended to develop the concept of well-posedness for a class of strongly mixed variational-hemivariational inequalities with perturbations which includes as a special case the class of ...
Lu-Chuan Ceng +2 more
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A critical point theorem for a class of non-differentiable functionals with applications
AIMS Mathematics, 2020 This paper presents a multiplicity theorem for a kind of non-smooth functionals. The proof of this theorem relies on a suitable deformation lemma and the perturbation methods.
Yan Ning, Daowei Lu
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Multiplicity of nontrivial solutions for elliptic equations with nonsmooth potential and resonance at higher eigenvalues [PDF]
, 2006 We consider a semilinear elliptic equation with a nonsmooth, locally \hbox{Lipschitz} potential function (hemivariational inequality). Our hypotheses permit double resonance at infinity and at zero (double-double resonance situation).
Gasi'nski, Leszek +2 more
core +1 more source
Tykhonov well-posedness of split problems
Journal of Inequalities and Applications, 2020 In (J. Optim. Theory Appl. 183:139–157, 2019) we introduced and studied the concept of well-posedness in the sense of Tykhonov for abstract problems formulated on metric spaces. Our aim of this current paper is to extend the results in (J. Optim.
Qiao-yuan Shu +2 more
doaj +1 more source
Quasilinear elliptic inclusions of hemivariational type: Extremality and compactness of the solution set [PDF]
, 2003 We consider the Dirichlet boundary value problem for an elliptic inclusion governed by a quasilinear elliptic operator of Leray–Lions type and a multivalued term which is given by the difference of Clarke's generalized gradient of some locally Lipschitz ...
S. Carl +13 more
core +1 more source
A class of hyperbolic variational–hemivariational inequalities without damping terms
Advances in Nonlinear Analysis, 2022 In this article, we study a large class of evolutionary variational–hemivariational inequalities of hyperbolic type without damping terms, in which the functional framework is considered in an evolution triple of spaces.
Zeng Shengda +2 more
doaj +1 more source
Discrete Dynamics in Nature and Society, Volume 2017, Issue 1, 2017., 2017 In this work, we consider a class of fractional stochastic differential system with Hilfer fractional derivative and Poisson jumps in Hilbert space. We study the existence and uniqueness of mild solutions of such a class of fractional stochastic system, using successive approximation theory, stochastic analysis techniques, and fractional calculus ...
Fathalla A. Rihan +3 more
wiley +1 more source
Noncoercive Perturbed Densely Defined Operators and Application to Parabolic Problems
Abstract and Applied Analysis, Volume 2015, Issue 1, 2015., 2015 Let X be a real locally uniformly convex reflexive separable Banach space with locally uniformly convex dual space X∗. Let T:X⊇D(T)→2X∗ be maximal monotone and S : X⊇D(S) → X∗ quasibounded generalized pseudomonotone such that there exists a real reflexive separable Banach space W ⊂ D(S), dense and continuously embedded in X. Assume, further, that there
Teffera M. Asfaw, Naseer Shahzad
wiley +1 more source
On nonlinear hemivariational inequalities [PDF]
Dissertationes Mathematicae, 2003 The authors present a detailed study of strongly nonlinear hemivariational inequalities of second order with Dirichlet, nonhomogeneous and Neumann boundary condition. To obtain existence results a variety of tools is employed: general theory of nonlinear operators of monotone type, the method of upper-lower solutions, the multivalued Leray-Schauder ...
Papageorgiou, Nikolaos, Smyrlis, George
openaire +2 more sources