Article

PERIODIC SOLUTIONS AND BIFURCATIONS OF FIRST-ORDER PERIODIC IMPULSIVE DIFFERENTIAL EQUATIONS

Zhaoping HuDepartment of Mathematics, Shanghai University, Shanghai 200444, P. R. ChinaMaoan HanDepartment of Mathematics, Shanghai University, Shanghai 200444, P. R. China

2009en

ABI

Abstract

In this paper, we use the method of displacement functions to study the existence, stability and bifurcation of periodic solutions of scalar periodic impulsive differential equations. We obtain some new and interesting results on saddle-node bifurcation and double-period bifurcation of periodic solution.

Identifiers

DOI: 10.1142/s0218127409024281

Citations and references

Cited by 30 references

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