Almost periodic solutions of differential inclusions governed by subdifferentials
Sufficient conditions are given to ensure the existence and eventually the uniqueness of bounded and almost periodic solutions of evolution equations governed by subdifferential operators.
Karim El Mufti
doaj
On generalized derivatives for C1,1 vector optimization problems
We introduce generalized definitions of Peano and Riemann directional derivatives in order to obtain second-order optimality conditions for vector optimization problems involving C1,1 data.
Davide La Torre
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High regularity of the solution of a nonlinear parabolic boundary-value problem
The aim of this paper is to report some results concerning high regularity of the solution of a nonlinear parabolic problem with a linear parabolic differential equation in one spatial dimension and nonlinear boundary conditions.
Luminita Barbu +2 more
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Asymptotically periodic solutions for differential and difference inclusions in Hilbert spaces
Let $H$ be a real Hilbert space and let $A:D(A)subset Ho H$ be a (possibly set-valued) maximal monotone operator. We investigate the existence of asymptotically periodic solutions to the differential equation (inclusion) $u'(t) + Au(t)i f(t) + g(t)$, $t ...
Gheorghe Morosanu, Figen Ozpinar
doaj
Necessary Optimality Conditions for a Class of Impulsive and Switching Systems
An optimal control problem for a class of hybrid impulsive and switching systems is considered. By defining switching times as part of extended state, we get the necessary optimality conditions for this problem.
Lihua Li, Yan Gao, Gexia Wang
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Unified Robust Necessary Optimality Conditions for Nonconvex Nonsmooth Uncertain Multiobjective Optimization. [PDF]
Wang J, Li S, Feng M.
europepmc +1 more source
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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An innovative inertial extra-proximal gradient algorithm for solving convex optimization problems with application to image and signal processing. [PDF]
Olilima J +5 more
europepmc +1 more source
Preface to "Optimization, Convex and Variational Analysis". [PDF]
Aussel D +3 more
europepmc +1 more source
Existence and non-uniqueness of stationary states for the Vlasov-Poisson equation on R3 subject to attractive background charges. [PDF]
Winter R.
europepmc +1 more source

