Periodic solutions for nonconvex differential inclusions

被引:21
作者
Hu, SC [1 ]
Kandilakis, DA
Papageorgiou, NS
机构
[1] SW Missouri State Univ, Dept Math, Springfield, MO 65804 USA
[2] Univ Agean, Dept Math, Karlovassi 83200, Samos, Greece
[3] Natl Tech Univ, Dept Math, Athens 15780, Greece
关键词
lower semicontinuous multifunction; measurable multifunction; continuous selector; a priori bound; compact embedding; Leray-Schauder degree; compact homotopy; homotopy invariance;
D O I
10.1090/S0002-9939-99-04338-5
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper we prove the existence of periodic solutions for differential inclusions with nonconvex-valued orientor field. Our proof is based on degree theoretic arguments.
引用
收藏
页码:89 / 94
页数:6
相关论文
共 12 条
[1]  
Aubin J.-P., 1984, DIFFERENTIAL INCLUSI
[2]   EXTENSIONS AND SELECTIONS OF MAPS WITH DECOMPOSABLE VALUES [J].
BRESSAN, A ;
COLOMBO, G .
STUDIA MATHEMATICA, 1988, 90 (01) :69-86
[3]  
Brezis H., 1983, ANAL FONCTIONELLE
[4]   PERIODIC-SOLUTIONS OF FUNCTIONAL-DIFFERENTIAL INCLUSIONS AND FIXED-POINTS OF SIGMA-SELECTIONABLE CORRESPONDENCES [J].
HADDAD, G ;
LASRY, JM .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1983, 96 (02) :295-312
[5]  
HILLE E, 1957, AMS C PUBL, V31
[6]   ON THE EXISTENCE OF PERIODIC-SOLUTIONS FOR NONCONVEX-VALUED DIFFERENTIAL-INCLUSIONS IN R(N) [J].
HU, SC ;
PAPAGEORGIOU, NS .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1995, 123 (10) :3043-3050
[7]   THE EXISTENCE OF PERIODIC-SOLUTIONS TO NONAUTONOMOUS DIFFERENTIAL-INCLUSIONS [J].
MACKI, JW ;
NISTRI, P ;
ZECCA, P .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1988, 104 (03) :840-844
[8]  
Mawhin J., 1979, NSFCBMS Regional Conference Series in Mathematics
[9]   ON INFINITE-DIMENSIONAL CONTROL-SYSTEMS WITH STATE AND CONTROL CONSTRAINTS [J].
PAPAGEORGIOU, NS .
PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 1990, 100 (01) :65-77
[10]   ON FATOU LEMMA AND PARAMETRIC INTEGRALS FOR SET-VALUED FUNCTIONS [J].
PAPAGEORGIOU, NS .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1994, 187 (03) :809-825