Three periodic solutions for a nonlinear first order functional differential equation

被引：8
|
作者：
Padhi, Seshadev [1 ]
Srivastava, Shilpee [1 ]
Pati, Smita [1 ]
机构：
[1] Birla Inst Technol Mesra, Dept Appl Math, Ranchi 835215, Bihar, India
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2010年 / 216卷 / 08期
关键词：
Periodic solution; Functional differential equation; EXISTENCE;
D O I：
10.1016/j.amc.2010.03.090
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with the existence of three positive T-periodic solutions of the first order functional differential equations of the form x'(t) = a(t)x(t) - lambda b(t)f(t,x(h(t))), where a(t), b(t) and tau(t) are positive T-periodic functions, and lambda is a positive parameter. Leggett-Williams multiple fixed point theorem has been used to prove our results. Our results extend and improve some results in the literature. (C) 2010 Elsevier Inc. All rights reserved.
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页码：2450 / 2456
页数：7
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