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FURTHER RESULTS ON POSITIVE PERIODIC SOLUTIONS OF IMPULSIVE FUNCTIONAL DIFFERENTIAL EQUATIONS AND APPLICATIONS

Part of: Boundary value problems Functional-differential and differential-difference equations Qualitative theory

Published online by Cambridge University Press:  27 July 2009

YUJI LIU
YUJI LIU*
Affiliation:
Department of Mathematics, Guangdong University of Business Studies, Guangzhou 510320, People’s Republic of China (email: liuyuji888@sohu.com)
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Abstract

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A class of first-order impulsive functional differential equations with forcing terms is considered. It is shown that, under certain assumptions, there exist positive T-periodic solutions, and under some other assumptions, there exists no positive T-periodic solution. Applications and examples are given to illustrate the main results.

Keywords

impulsefirst-order functional differential equationpositiveT-periodic solutionfixed point theorem

MSC classification

Secondary: 34B10: Nonlocal and multipoint boundary value problems 34K10: Boundary value problems 34C25: Periodic solutions 92D25: Population dynamics (general)
Type
Research Article
Information
The ANZIAM Journal , Volume 50 , Issue 4 , April 2009 , pp. 513 - 533
Copyright
Copyright © Australian Mathematical Society 2009

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