Periodic viable trajectories of differential inclusions
type: Item
instance of: scholarly article
title: Periodic viable trajectories of differential inclusions
zbMATH Open document ID: 0940.34053
DOI: 10.1007/BF02464942
published in: Applied Mathematics and Mechanics. (English Edition)
publication date: 2000-07-19T00:00:00Z
review text: Let \(X\) be a Banach space, \( I=[0,T] \) \((T>0)\subset\mathbb{R}\), \( F: I\times X\to 2^X\setminus\varPhi \) be a set-valued map. Consider the following initial value problem for the differential inclusion \[ x'(t)\in F(t,x(t)),\quad \text{a.e.}\quad x(0)=x_0\in X.\tag{1} \] An existence theorem of periodic viable trajectories to differential inclusions (1) in a finite-dimensional space is proved. With the above results and Galerkin's approximation, an existence theorem of periodic viable trajectories to partial differential inclusions in a Hilbert space is proved.
Mathematics Subject Classification ID: 34G25
zbMATH DE Number: 1383639
zbMATH Keywords: differential inclusions
zbMATH Keywords: periodic viable trajectories
author: Zhihua Wang
reviewed by: A. A. Martynyuk
MaRDI profile type: Publication
cites work: Q3324260
cites work: Set-valued analysis
cites work: A measurable upper semicontinuous viability theorem for tubes
cites work: Q4176119
cites work: Nagumo type condition for partial differential inclusions
cites work: Q3995594
full work available at URL: https://doi.org/10.1007/bf02464942
OpenAlex ID: W26680050
description: scientific article; zbMATH DE number 1383639