Existence Theorems for Periodic Differential Inclusions in IR^N

作     者：Michael Filippakis Leszek Gasinski Nikolaos S.Papageorgiou 

作者机构：National Technical UniversityDepartment of MathematicsZografou CampusAthens 15780GreeceJagiellonian UniversityInstitute of Computer Scienceul.Nawojki 1130072 CracowPolandNational Technical UniversityDepartment of MathematicsZografou CampusAthens 15780Greece 

出 版 物：《Acta Mathematicae Applicatae Sinica》 (应用数学学报（英文版）)

年 卷 期：2004年第20卷第2期

页      面：179-190页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：北大西洋组织(NATO)资助 

主　　题：Differential inclusion multifunction upper and lower semicontinuity extremal periodic solution Schauder fixed point theorem property u weak norm Hartman condition 

摘      要：We study the periodic problem for differential inclusions in R^*** we look for extremal *** techniques from multivalued analysis and a fixed point argument we establish an existencetheorem under some general *** also consider the“nonconvex periodic problemunder lowersemicontinuity hypotheses,and the“convex periodic problemunder general upper semicontinuity hypotheseson the multivalued vector *** both problems,we prove existence theorems under very general *** approach extends existing results in the literature and appear to be the most general results on the nonconvexperiodic problem.