Journal of applied mathematics & informatics
- Volume 19 Issue 1_2
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- Pages.261-280
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- 2005
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- 2734-1194(pISSN)
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- 2234-8417(eISSN)
POSITIVE PERIODIC SOLUTIONS OF IMPULSIVE FUNCTIONAL DIFFERENTIAL EQUATIONS
- LIU YUJI (Department of Mathematics, Beijing Institute of Technology) ;
- XIA JIANYE (Department of Mathematics, Guangdong College of Finace) ;
- GE WEIGAO (Department of Mathematics, Beijing Institute of Technology)
- Published : 2005.09.01
Abstract
We study the existence and nonexistence of positive periodic solutions of a non-autonomous functional differential equation with impulses. The equations we study may be of delay, advance or mixed type functional differential equations and the impulses may cause the existence of positive periodic solutions. The methods employed are fixed-point index theorem, Leray-Schauder degree, and upper and lower solutions. The results obtained are new, and some examples are given to illustrate our main results.
Keywords
- Impulse;
- functional differential equation;
- positive periodic solution;
- cone;
- fixed point index;
- upper and lower solutions