Results 1 to 10 of about 310,302 (319)
Nonlinear second order evolution inclusions with noncoercive viscosity term [PDF]
Journal of Differential Equations, 2017 In this paper we deal with a second order nonlinear evolution inclusion, with a nonmonotone, noncoercive viscosity term. Using a parabolic regularization (approximation) of the problem and {\it a priori} bounds that permit passing to the limit, we prove ...
Nikolaos S. Papageorgiou +2 more
core +9 more sources
On a nonlinear integrodifferential evolution inclusion with nonlocal initial conditions in Banach spaces [PDF]
Opuscula Mathematica, 2012 In this paper, we discuss the existence results for a class of nnlinear integrodifferential evolution inclusions with nonlocal initial conditions in Banach spaces. Our results are based on a fixed point theorem for condensing maps due to Martelli and the
Zuomao Yan
doaj +3 more sources
Well-posedness of a fully nonlinear evolution inclusion of second order [PDF]
Journal of Elliptic and Parabolic Equations, 2022 We consider the well-posedness of the abstract Cauchy problem for the doubly nonlinear evolution inclusion equation of second order given by u′′(t)+∂Ψ(u′(t))+B(t,u(t))∋f(t),t∈(0,T),T>0,u(0)=u0,u′(0)=v0\documentclass[12pt]{minimal} \usepackage{amsmath ...
Aras Bacho
semanticscholar +4 more sources
Nonlinear Volterra delay evolution inclusions subjected to nonlocal initial conditions
Topological Methods in Nonlinear Analysis, 2021 This paper deals with a nonlinear Volterra delay evolution inclusion subjected to a nonlocal implicit initial condition. The evolution inclusion involves an $m$-dissipative operator (possibly multivalued and/or nonlinear) and a noncompact interval.
Yangyang Yu +2 more
semanticscholar +4 more sources
Sensitivity analysis for optimal control problems governed by nonlinear evolution inclusions [PDF]
Advances in Nonlinear Analysis, 2017 We consider a nonlinear optimal control problem governed by a nonlinear evolution inclusion and depending on a parameter λ. First we examine the dynamics of the problem and establish the nonemptiness of the solution set and produce continuous selections ...
Papageorgiou Nikolaos S. +2 more
doaj +4 more sources
Anti-periodic solutions for nonlinear evolution inclusions
Journal of Evolution Equations, 2018 We consider an anti-periodic evolution inclusion defined on an evolution triple of spaces, driven by an operator of monotone-type and with a multivalued reaction term F(t, x).
Leszek Gasiński +1 more
semanticscholar +5 more sources
Nonlinear evolution inclusions arising from phase change models [PDF]
Czechoslovak Mathematical Journal, 2007 This paper is devoted to the analysis of an abstract evolution inclusion with a non-invertible operator, motivated by problems arising in nonlocal phase separation modeling. Existence, uniqueness, and long-time behaviour of the solution to the related Cauchy problem are discussed in detail.
Pierluigi Colli +3 more
semanticscholar +10 more sources
Abstract nonlinear evolution inclusions of second order with applications in visco-elasto-plasticity [PDF]
Journal of Differential Equations, 2023 Existence of strong solutions of an abstract Cauchy problem for a class of doubly nonlinear evolution inclusion of second order is established via a semi-implicit time discretization method. The principal parts of the operators acting on $u$ and $u'$ are
Aras Bacho
openalex +2 more sources
Global Attractor for Second‐Order Nonlinear Evolution Differential Inclusions [PDF]
Complexity, 2021 In this paper, we address the model of global attractor formulated in the form of evolution differential inclusions with second order in Banach spaces. Firstly, based on the fixed point theorem, the existence result of mild solutions is deduced. Then, by implementing the measure of noncompactness, the existence of global attractor associated with m ...
Guangwang Su, Funing Lin
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Random Nonlinear Evolution Inclusions in Reflexive Banach Spaces [PDF]
Proceedings of the American Mathematical Society, 1988 In this paper we present two existence results for a large class of random, nonlinear, multivalued evolution equations defined in a reflexive, separable Banach space and involving an m m -dissipative operator. Applications to random multivalued parabolic p.d.e.’s are presented.
Evgenios Avgerinos +1 more
+4 more sources