EXISTENCE OF ASYMPTOTICALLY PERIODIC SOLUTIONS OF SCALAR VOLTERRA DIFFERENCE EQUATIONS

被引：10

作者：

Diblik, Josef ^{[1
]}

Ruzickova, Miroslava ^{[1
]}

Schmeidel, Ewa ^{[2
]}

机构：

[1] Univ Zilina, Dept Math, Fac Sci, Univ 8215-1, SK-01026 Zilina, Slovakia

[2] Poznan Univ Tech, Fac Elect Engn, Inst Math, PL-60965 Poznan, Poland

来源：

DIFFERENTIAL AND DIFFERENCE EQUATIONS AND APPLICATIONS 2008 | 2009年 / 43卷

关键词：

asymptotically periodic solution; asymptotic behavior of solutions; Volterra difference equation;

D O I：

10.2478/v10127-009-0024-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

There is used a version of Schauder's fixed point theorem to prove the existence of asymptotically periodic solutions of a scalar Volterra difference equation. Along with the existence of asymptotically periodic solutions, sufficient conditions for the nonexistence of such solutions are derived. Results are illustrated on examples.

引用

页码：51 / +

页数：3

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