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
Guangwang Su, Funing Lin
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Periodic solutions of nonlinear evolution inclusions
Journal of Computational and Applied Mathematics, 1994 The authors establish the existence of periodic trajectories for a class of nonlinear, time-varying evolution inclusions, in which the multivalued term is nonconvex-valued. This result partially extends a recent work of \textit{I. Vrabie} [Proc. Am. Math. Soc. 109, 653-661 (1990; Zbl 0701.34074)].
Nikolaos S Papageorgiou
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FOURIER PROBLEM FOR WEAKLY NONLINEAR EVOLUTION INCLUSIONS WITH FUNCTIONALS
Journal of Optimization, Differential Equations and Their Applications, 2019 The Fourier problem or, in other words, the problem without initial conditions for evolution equations and inclusions arise in modeling different nonstationary processes in nature, that started a long time ago and initial conditions do not affect on them
Mykola M. Bokalo, Iryna V. Skira
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Sensitivity analysis for optimal control problems governed by nonlinear evolution inclusions
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
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Solutions of nonlinear evolution inclusions
Journal of Mathematical Analysis and Applications, 2006 The authors consider the nonlinear evolution inclusion \[ \frac{du} {dt}+B\bigl( t,u(t)\bigr)\ni f(t),\quad t\in[0,T]\quad u(0)=u_0,\tag{1} \] in a real reflexive Banach space \(V\) with dual \(V^*\), in which \(B:[0,T]\times V \to V^*\) is measurable and nonempty closed convex set-valued and \(f\in L^q(V^*)\).
Su Ke
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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
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Generalized frameworks for first-order evolution inclusions based on Yosida approximations
Electronic Journal of Differential Equations, 2011 First, general frameworks for the first-order evolution inclusions are developed based on the A-maximal relaxed monotonicity, and then using the Yosida approximation the solvability of a general class of first-order nonlinear evolution inclusions is ...
Ram U. Verma
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Nonlinear evolution inclusions: Topological characterizations of solution sets and applications
Journal of Functional Analysis, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Rong-Nian Wang, Yong Zhou
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Topological properties of the solution set of a class of nonlinear evolutions inclusions [PDF]
Czechoslovak Mathematical Journal, 1997 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Papageorgiou, Nikolaos S. +2 more
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Nonlinear second order evolution inclusions with noncoercive viscosity term
Journal of Differential Equations, 2018 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 that the problem has a solution.
Nikolaos S. Papageorgiou +2 more
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