BOUNDEDNESS AND PERIODIC-SOLUTIONS IN INFINITE DELAY SYSTEMS

被引:6
作者
HERING, RH
机构
[1] Mathematics and Statistics Department, University of Missouri-Rolla, Rolla
关键词
D O I
10.1016/0022-247X(92)90264-E
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Liapunov methods are used to give conditions ensuring that solutions of infinite delay equations are uniformly bounded and uniformly ultimately bounded with respect to unbounded (Cg) initial function spaces; and the connection to proving existence of periodic solutions is examined. Several examples illustrate the application of these results, especially to integrodifferential equations. © 1992.
引用
收藏
页码:521 / 535
页数:15
相关论文
共 11 条
[1]   PERIODIC-SOLUTIONS TO FUNCTIONAL-DIFFERENTIAL EQUATIONS [J].
ARINO, OA ;
BURTON, TA ;
HADDOCK, JR .
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 1985, 101 :253-271
[2]   OSCILLATION, CONTINUATION, AND UNIQUENESS OF SOLUTIONS OF RETARDED DIFFERENTIAL EQUATIONS [J].
BURTON, T ;
GRIMMER, R .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1973, 179 (MAY) :193-209
[3]   BOUNDEDNESS IN INFINITE DELAY SYSTEMS [J].
BURTON, TA ;
HERING, RH .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1989, 144 (02) :486-502
[4]   UNIFORM BOUNDEDNESS FOR DELAY EQUATIONS [J].
BURTON, TA .
ACTA MATHEMATICA HUNGARICA, 1990, 56 (3-4) :259-268
[5]  
BURTON TA, 1985, STABILITY PERIODIC S, P228
[6]  
HABETS P, 1977, STABILITY THEORY LIA, P345
[7]  
Hale J., 1978, FUNKC EKVACIOJ-SER I, V21, P11
[8]  
HALE JK, 1977, THEORY FUNCTIONAL DI, P133
[9]  
HERING RH, 1988, BOOUNDEDNESS STABILI
[10]   SOME CONSIDERATIONS TO THE FUNDAMENTAL THEORY OF INFINITE DELAY EQUATIONS [J].
KAPPEL, F ;
SCHAPPACHER, W .
JOURNAL OF DIFFERENTIAL EQUATIONS, 1980, 37 (02) :141-183