EXISTENCE RESULTS ON POSITIVE PERIODIC SOLUTIONS FOR IMPULSIVE FUNCTIONAL DIFFERENTIAL EQUATIONS

被引:2
|
作者
Liu, Yuji [1 ]
机构
[1] Guangdong Univ Business Studies, Dept Math, Guangzhou 510320, Guangdong, Peoples R China
关键词
Impulse; first order functional differential equation; impulsive biological model; positive T-periodic solution; fixed point theorem; BOUNDARY-VALUE-PROBLEMS; PREDATOR-PREY MODEL; GLOBAL ATTRACTIVITY; MULTIPLICITY;
D O I
10.3336/gm.46.1.13
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
A class of first order nonlinear functional differential equations with impulses is studied. It is shown that there exist one or two positive T-periodic solutions under certain assumptions, and no positive T-periodic solution under some other assumptions. Applications to some impulsive biological models and an example, which can not be covered by known results, are given to illustrate the main results.
引用
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页码:149 / 165
页数:17
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