Positive periodic solutions of nonlinear differential systems with impulses. (English) Zbl 1162.34064

Li, Yongkun

Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 68, No. 8, 2389-2405 (2008).

Differential systems with impulses and delays are considered. Sufficiently conditions for the existence of periodic solutions of such systems are derived.

Reviewer: Stepan Kostadinov (Plovdiv)

MSC:

34K45	Functional-differential equations with impulses
34K13	Periodic solutions to functional-differential equations
47N20	Applications of operator theory to differential and integral equations

Keywords:

positive periodic solution; nonlinear impulsive differential equations; Lotka-Volterra system; fixed point theorem

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