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Sensitivity analysis for optimal control problems described by nonlinear fractional evolution inclusions

Fractional Calculus and Applied Analysis, 2019
In this paper, a sensitivity analysis of optimal control problem for a class of systems described by nonlinear fractional evolution inclusions (NFEIs, for short) on Banach spaces is investigated.
Zhenhai Liu, Liu Zhenhai
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Mixed Semicontinuous Fully Nonlinear Evolution Inclusions

Springer Proceedings in Mathematics and Statistics
Tzanko Donchev, Donchev Tzanko
exaly   +2 more sources

On the "bang-bang" principle for nonlinear evolution inclusions

NoDEA : Nonlinear Differential Equations and Applications, 1999
The authors deal with the existence of solutions to an evolution inclusion of the form \[ x'(t) +A(t,x(t))\in{F(t,x(t))}\quad\text{a.e., }x(0)=x_{0}, \] in a Banach space, where the right-hand side is not necessarily convex-valued. It is an improvement of results by \textit{N. S. Papageorgiou} [Dyn. Syst. Appl. 2, No.
Tolstonogov, A. A., Tolstonogov, D. A.
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Properties of the Solution Set of Nonlinear Evolution Inclusions

Applied Mathematics and Optimization, 1997
The paper deals with nonlinear nonautonomous evolution inclusions of the form \[ \dot x(t)+ A(t,x(t)) \in F(t,x(t)), \] a.e. on \(T\), \(x(0) =x_0\) defined on a Gelfand triple of spaces \((X,H,X^*)\). In Section 3 the authors provide conditions for the solution set to be an \(R_\delta\)-set, or path-connected in \(C(T,H)\).
Papageorgiou, N. S., Shahzad, N.
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Necessary and Sufficient Conditions for Viability for Nonlinear Evolution Inclusions

Set-Valued Analysis, 2007
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Cârjă, Ovidiu, Necula, Mihai, Vrabie, Ioan I.   +2 more
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Existence of solutions and periodic solutions for nonlinear evolution inclusions

Rendiconti del Circolo Matematico di Palermo, 1999
The authors establish two existence theorems for evolution inclusions: the first for a periodic problem and the second for a Cauchy problem. It is stated a preliminary surjectivity result. More exactly, if \(Y\) is a reflexive, strictly convex Banach space, \(L: D(L)\subset Y\to Y^*\) be a linear densely defined maximal monotone operator and \(T: Y\to ...
Papageorgiou, Nikolaos S., Papalini, Francesca, Renzacci, Francesca   +2 more
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Second Order Nonlinear Evolution Inclusions I: Existence and Relaxation Results

Acta Mathematica Sinica, English Series, 2005
The authors study second-order nonlinear nonmonotone evolution inclusions defined in the framework of an evolution triple of spaces. In particular, they consider the problem \[ \ddot{x}(t) +A(t,\dot{x}(t))+Bx(t) \in F(t,x(t),\dot{x}(t)) \text{ a.e. }t \in T=[0,b],\;x(0)=z_0,\;\dot{x}(0)=z_1 , \] where \(A:T \times X \to X^*\) is a nonlinear operator, \(
Papageorgiou, Nikolaos S., Yannakakis, Nikolaos   +1 more
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Nonlinear evolution inclusions with one-sided perron right-hand side

Journal of Dynamical and Control Systems, 2013
In this paper the authors study the evolution inclusion of the type \[ x'(t)\in A(x(t))+F(x(t)), \] where \(A\) is an \(m\)-dissipative operator and \(F\) is an upper hemicontinuous multifunction with non empty, convex and weakly compact values defined on a Banach space with a uniformly convex dual.
Cârjă, O., Donchev, T., Postolache, V.
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Elliptic-like regularization of a fully nonlinear evolution inclusion and applications

Communications in Contemporary Mathematics, 2016
Consider in a Hilbert space [Formula: see text] the Cauchy problem [Formula: see text]: [Formula: see text], and associate with it the second-order problem [Formula: see text]: [Formula: see text], where [Formula: see text] is a (possibly set-valued) maximal monotone operator, [Formula: see text] is a Lipschitz operator, and [Formula: see text] is a ...
Barbu, Luminiţa, Moroşanu, Gheorghe
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Control problems for systems described by nonlinear second order evolution inclusions

Nonlinear Analysis: Theory, Methods & Applications, 1997
The author reviews some results obtained by himself and presents some new results for optimal control problems governed by second-order evolution inclusions.
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