Results 11 to 20 of about 310,302 (319)
On nonlinear, nonconvex evolution inclusions [PDF]
Kodai Mathematical Journal, 1995 The paper contrasts the sets \(S(x_0)\) and \(S_e(x_0)\) of integral solutions of Benilan to the differential systems \(- x'(t)\in Ax(t)+ F(t, x(t))\), \(x(0)= x_0\) and \(-x'(t)\in Ax(t)+ \text{ext } F(t, x(t))\), \(x(0)= x_0\) respectively, where ext stands for the set of extreme points. The main results state that, for every \(x_0\in \overline D\), \
Shou Chuan Hu, Nikolaos S. Papageorgiou
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Second order doubly nonlinear evolution inclusions –quasi-variational approach–
Discrete and Continuous Dynamical Systems - S, 2023 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nobuyuki Kenmochi +2 more
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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)].
V. Lakshmikantham +1 more
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Existence theorems for nonlinear evolution inclusions [PDF]
Annali di Matematica Pura ed Applicata, 1997 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tiziana Cardinali, Francesca Papalini
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On an existence result for nonlinear evolution inclusions [PDF]
Proceedings of the Edinburgh Mathematical Society, 1996 In this paper we present an existence result for a class of nonlinear evolutions inclusions. A result on the compactness of the solution set for a differential inclusion is also established.
Stanisław Migórski
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Properties of the solution set of nonlinear evolution inclusions
Applied Mathematics & 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 \(C(T,H)\).
Nikolas S. Papageorgiou, Naseer Shahzad
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Nonlinear Delay Evolution Inclusions on Graphs [PDF]
, 2014 We prove a necessary and a sufficient condition for a time-dependent closed set to be viable with respect to a delay evolution inclusion. An application to a null controllability problem is also included.
Mihai Necula +2 more
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Nonlinear Volterra integrodifferential evolution inclusions and optimal control [PDF]
Kodai Mathematical Journal, 1991 Volterra integrodifferential evolution inclusions of nonconvolutory type with time dependent unbounded operators and with both convex and nonconvex multivalued perturbations are studied. The results obtained are applied to distributed parameter optimal control problems. By assuming suitable assumptions on the operator \(A\) and on the multifunction \(F\
Nikolaos S. Papageorgiou
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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, \(
Νικόλαος Παπαγεωργίου +1 more
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Solutions of nonlinear evolution inclusions
Journal of Mathematical Analysis and Applications, 2004 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, He Zhen
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