Multiple positive periodic solutions for a nonlinear first order functional difference equation

被引：6

作者：

Dix, Julio G. ^{[1
]}

Padhi, Seshadev ^{[2
]}

Pati, Smita ^{[3
]}

机构：

[1] Texas State Univ, Dept Math, San Marcos, TX 78666 USA

[2] Birla Inst Technol, Dept Appl Math, Ranchi, Bihar, India

[3] GLA Inst Technol & Management, Dept Appl Sci & Humanities, Mathura, India

来源：

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS | 2010年 / 16卷 / 09期

关键词：

periodic solution; difference equation; EXISTENCE;

D O I：

10.1080/10236190802705701

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We obtain sufficient conditions for the existence of at least three non-negative periodic solutions for the first order functional difference equation Delta x(n) = -a(n)x(n) + f(s, x(h(1)(s)), ..., x(h(m)(s))). Our main tool is the Leggett-Williams fixed point theorem, and our main application is a hematopoiesis model in population dynamics.

引用

页码：1037 / 1046

页数：10

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