On existence of solutions to differential equations or inclusions remaining in a prescribed closed subset of a finite-dimensional space
[摘要] This paper is devoted to existence of trajectories to differential equations and inclusions remaining in a given closed (or compact) set. Topological properties of the boundary of this set enables us to conclude the existence of such trajectories in many cases. (C) 2002 Elsevier Science (USA).
[发布日期] 2002-11-01 [发布机构]
[效力级别] [学科分类]
[关键词] differential equations and inclusions;Wazewski topological principle;homology groups;retracts;strong deformation retracts;Lipschitz selection;viability theory [时效性]