Results 221 to 230 of about 1,819 (252)

Solutions of nonlinear evolution inclusions

Nonlinear Analysis: Theory, Methods & Applications, 1999
Generalizing recent results by \textit{N. U. Ahmed} and \textit{X. Xiang} [Nonlinear Anal., Theory Methods Appl. 22, No. 1, 81-89 (1994; Zbl 0806.34051)], \textit{J. Berkovits} and \textit{V. Mustonen} [ibid. 27, No. 12, 1397-1405 (1996; Zbl 0894.34055)] and by \textit{H. Hirano} [ibid. 13, No.
W Bian, J R L Webb
exaly   +3 more sources

PERTURBED NONLINEAR EVOLUTION INCLUSIONS IN BANACH SPACES

Acta Mathematica Scientia, 1995
The 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
exaly   +3 more sources

Optimal control of nonlinear evolution inclusions

Journal of Optimization Theory and Applications, 1990
We 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
exaly   +3 more sources

Existence of Solutions for a Class of Nonlinear Evolution Inclusions with Nonlocal Conditions

Journal of Optimization Theory and Applications, 2013
This 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
exaly   +3 more sources

On the solution set of nonlinear evolution inclusions depending on a parameter

Publicationes Mathematicae Debrecen, 1994
Let \((X, H, X^*)\) be an evolution triple of spaces with \(X\) embedding into \(H\) compactly and \(T= [0, r]\) a compact interval in \(\mathbb{R}_ +\). Also let \(\Lambda\) be metric space (the parameter space). In this interesting paper the author investigates the following evolution inclusion parameterized by elements in \(\Lambda\): \[ \dot x(t ...
PAPAGEORGIOU, NS
openaire   +2 more sources

Second Order Nonlinear Evolution Inclusions II: Structure of the Solution Set

Acta Mathematica Sinica, English Series, 2005
The 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, Papageorgiou Nikolaos S   +1 more
exaly   +2 more sources

Convergence results for nonlinear evolution inclusions

, 1995
In the first part of this paper the authors consider the sequence of abstract Cauchy problems \((1)_n\) \(u'\in - \partial^- f(u)+ {\mathcal G}_n(u)\), \(u(0)= x_n\), \(x_n\in D(f)\), and the limit problem (1) \(u'\in -\partial^- f(u)+ {\mathcal G}(u)\), \(u(0)= \overline x\), \(\overline x\in D(f)\) (where \(\partial^- f\) is the Fréchet ...
CARDINALI, Tiziana, F. Papalini
openaire   +3 more sources

Nonlinear Parametric Evolution Inclusions

Mathematische Nachrichten, 2002
Nikolaos S Papageorgiou
exaly   +2 more sources

Topological Structure of the Solution Set for Evolution Inclusions

Developments in Mathematics, 2017
This book systematically presents the topological structure of solution sets and attractability for nonlinear evolution inclusions, together with its relevant applications in control problems and partial differential equations.
Yong Zhou
exaly   +2 more sources