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

被引：7
|
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
收藏
页码：1037 / 1046
页数：10
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