Existence of limit cycles of impulsive differential equations with impulses at variable times

DOI10.1016/S0362-546X(99)00268-0zbMath0993.34043MaRDI QIDQ5936419

Jian Gang Qi, Xilin Fu

Publication date: 11 September 2002

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

zbMATH Keywords

stabilityperiodic solutionsimpulsive differential equations

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Ordinary differential equations with impulses (34A37) Stability of solutions to ordinary differential equations (34D20)

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Cites Work

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• Stability criteria for impulsive differential equations in terms of two measures
• Uniform boundedness and stability criteria in terms of two measures for impulsive integro-differential equations
• The existence of periodic orbits for nonlinear impulsive differential systems
• Comparison principles for impulsive parabolic equations with applications to models of single species growth

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