Periodic solutions of difference equations

被引:30
作者
Dannan, F
Elaydi, S [1 ]
Liu, P
机构
[1] Trinity Univ, Dept Math, San Antonio, TX 78212 USA
[2] Flinders Univ S Australia, Dept Math & Stat, Adelaide, SA 5001, Australia
关键词
periodic; Volterra difference equations; resolvent matrix; Fredholm's alternative; adjoint equation; Sharkovsky's theorem; Lyness equation;
D O I
10.1080/10236190008808222
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We give an overview of results on the existence of periodic solutions of difference equations that have been obtained in the last two decades. The survey covers both ordinary and Volterra difference systems. Some extensions and generalizations of known result are also presented.
引用
收藏
页码:203 / 232
页数:30
相关论文
共 29 条
[1]   On some difference equations with eventually periodic solutions [J].
Amleh, AM ;
Grove, EA ;
Kent, CM ;
Ladas, G .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1998, 223 (01) :196-215
[2]  
[Anonymous], 1945, MATH GAZ
[3]   PERIODIC-SOLUTIONS OF LINEAR INTEGRODIFFERENTIAL EQUATIONS [J].
BURTON, TA ;
ELOE, PW ;
ISLAM, MN .
MATHEMATISCHE NACHRICHTEN, 1990, 147 :175-184
[4]   NONLINEAR INTEGRODIFFERENTIAL EQUATIONS AND A PRIORI BOUNDS ON PERIODIC-SOLUTIONS [J].
BURTON, TA ;
ELOE, PW ;
ISLAM, MN .
ANNALI DI MATEMATICA PURA ED APPLICATA, 1992, 161 :271-283
[5]  
Burton TA., 2005, Stability and periodic solutions of ordinary and functional differential equations
[6]   On a method to investigate bifurcation of periodic solutions in retarded differential equations [J].
Carvalho, LAV .
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 1998, 4 (01) :17-27
[7]  
Corduneanu C., 1982, LIBERTAS MATH, V2, P159
[8]  
CUSHING JM, 1996, J DIFFER EQU APPL, V2, P117
[9]   On a converse of Sharkovsky's Theorem [J].
Elaydi, S .
AMERICAN MATHEMATICAL MONTHLY, 1996, 103 (05) :386-392
[10]   PERIODICITY AND STABILITY OF LINEAR VOLTERRA DIFFERENCE-SYSTEMS [J].
ELAYDI, S .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1994, 181 (02) :483-492