Positive and negative solutions of impulsive functional differential equations

DOI10.22436/jnsa.010.03.05zbMath1412.34210OpenAlexW2594231727MaRDI QIDQ4631923

Yanhui Ding, Min Chen

Publication date: 23 April 2019

Published in: The Journal of Nonlinear Sciences and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.22436/jnsa.010.03.05

zbMATH Keywords

positive solutionglobal existenceLyapunov-Razumikhin methodnegative solutionimpulsive functional differential equations (IFDEs)

Mathematics Subject Classification ID

Functional-differential equations with impulses (34K45) Stability theory of functional-differential equations (34K20)

Cites Work

• Dissipativity analysis of memristor-based complex-valued neural networks with time-varying delays
• Uniform asymptotic stability of impulsive discrete systems with time delay
• The method of Lyapunov functionals and exponential stability of impulsive systems with time delay
• Stability of nonlinear differential systems with state-dependent delayed impulses
• Stability for impulsive differential systems in terms of two measures
• On delay differential equations with impulses
• Boundedness for impulsive delay differential equations and applications to population growth models.
• Exponential stability of the solutions of the initial value problem for systems with an impulse effect
• Razumikhin type stability theorems for impulsive functional differential equations
• Comparison principle for impulsive differential equations with variable times and stability theory
• Lyapunov-Razumikhin method for impulsive functional differential equations and applications to the population dynamics
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