Results 191 to 200 of about 1,556 (222)
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Optimal control of nonlinear evolution inclusions
Journal of Optimization Theory and Applications, 1990We study the optimal control of nonlinear evolution inclusions. First, we prove the existence of admissible trajectories and then we show that the set that they form is relatively sequentially compact and in certain cases sequentially compact in an appropriate function space. Then, with the help of a convexity hypothesis and using Cesari's approach, we
N S Papageorgiou, Papageorgiou N S
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PERTURBED NONLINEAR EVOLUTION INCLUSIONS IN BANACH SPACES
Acta Mathematica Scientia, 1995The paper concerns existence of integral solutions to the differential inclusion \(u'(t) \in Au(t) + F(t,u(t))\) where \(A\) is an \(m\)-dissipative operator which generates an equicontinuous semigroup on \(\overline {D(A)}\) and \((t,x) \to F(t,x)\) is a \((t,x)\)-measurable, \(x\)-lower semicontinuous set-valued map.
Xue, Xingmei, Song, Gouzhu
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Existence of Solutions for a Class of Nonlinear Evolution Inclusions with Nonlocal Conditions
Journal of Optimization Theory and Applications, 2013This articles proves several theorems for the nonlinear first-order evolution inclusion with nonlocal condition \[ \begin{aligned} &\dot{x}(t)+A(t,x(t))+F(t,x(t))\ni f(t)\text{ on }I\equiv [ 0,T],\\ &x(0)=\varphi (x),\end{aligned}\tag{1} \] where \(A:I\times V\rightarrow V^{\ast }\), \(V\) is a dense subspace of the real separable Hilbert space \(H ...
Yi Cheng
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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.
Yong Zhou, Rong-Nian Wang
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On the "bang-bang" principle for nonlinear evolution inclusions
NoDEA : Nonlinear Differential Equations and Applications, 1999The 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, 1997The 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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Mixed Semicontinuous Fully Nonlinear Evolution Inclusions
Springer Proceedings in Mathematics and StatisticsTzanko Donchev, Donchev Tzanko
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Necessary and Sufficient Conditions for Viability for Nonlinear Evolution Inclusions
Set-Valued Analysis, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cârjă, Ovidiu +2 more
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Second order doubly nonlinear evolution inclusions –quasi-variational approach–
Discrete and Continuous Dynamical Systems - Series SzbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ken Shirakawa +2 more
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Second Order Nonlinear Evolution Inclusions II: Structure of the Solution Set
Acta Mathematica Sinica, English Series, 2005The authors study the structural properties of the set of solutions of second-order evolution inclusions defined in the analytic framework of an evolution triple of spaces. Denoted by \(T\) the closed interval \([0,b]\) and by \((X,H,X^*)\) the evolution triple of spaces (\(H\) is a Hilbert space, \(X\) is a Banach space which is embedded compactly ...
Nikolaos S Papageorgiou +1 more
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