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Impulsive evolution inclusions with state-dependent delay and multivalued jumps
Electronic Journal of Qualitative Theory of Differential Equations, 2013 In this paper we prove the existence of a mild solution for a class of impulsive semilinear evolution differential inclusions with state-dependent delay and multivalued jumps in a Banach space.
Mouffak Benchohra, M. Ziane
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Cauchy problems for functional evolution inclusions involving accretive operators [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2013 We study the existence and stability of solutions for a class of nonlinear functional evolution inclusions involving accretive operators. Our approach is employing the fixed point theory for multivalued maps and using estimates via the Hausdorff measure ...
Tran Ke
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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
Avgerinos, Evgenios P. +1 more
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Nonmonotone, nonlinear evolution inclusions
Mathematical and Computer Modelling, 2000 The evolution inclusion \[ x'(t) + A(t,x(t))\in F(t,x(t ...
Papageorgiou, N. S. +2 more
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Geochemistry, Geophysics, Geosystems, 2020 Deformation at tectonic plate boundaries involves coupling between rock deformation, fluid flow, and metamorphic reactions, but quantifying this coupling is still elusive.
Stefan M. Schmalholz +4 more
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On nonlinear, nonconvex evolution inclusions
Kodai Mathematical Journal, 1995 The paper contrasts the sets \(S(x_0)\) and \(S_e(x_0)\) of integral solutions of Benilan to the differential systems \(- x'(t)\in Ax(t)+ F(t, x(t))\), \(x(0)= x_0\) and \(-x'(t)\in Ax(t)+ \text{ext } F(t, x(t))\), \(x(0)= x_0\) respectively, where ext stands for the set of extreme points. The main results state that, for every \(x_0\in \overline D\), \
Hu, Shou Chuan +1 more
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Multivalued evolution equations with infinite delay in Fréchet spaces
Electronic Journal of Qualitative Theory of Differential Equations, 2008 In this paper, sufficient conditions are given to investigate the existence of mild solutions on a semi-infinite interval for two classes of first order semilinear functional and neutral functional differential evolution inclusions with infinite delay ...
Selma BAGHLI-BENDIMERAD +1 more
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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.
Colli, Pierluigi +3 more
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On an existence result for nonlinear evolution inclusions [PDF]
Proceedings of the Edinburgh Mathematical Society, 1996 In this paper we present an existence result for a class of nonlinear evolutions inclusions. A result on the compactness of the solution set for a differential inclusion is also established.
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Fixed Point Theory and Applications, 2009 We glance at recent advances to the general theory of maximal (set-valued) monotone mappings and their role demonstrated to examine the convex programming and closely related field of nonlinear variational inequalities. We focus mostly on applications of
Ravi P. Agarwal, Ram U. Verma
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