A new comparison principle for impulsive functional differential equations

DOI10.1155/2015/139828zbMath1418.34147OpenAlexW1920021643WikidataQ59105297 ScholiaQ59105297MaRDI QIDQ1723189

Gang Li, Weizhong Ling, Changming Ding

Publication date: 19 February 2019

Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2015/139828

Mathematics Subject Classification ID

Functional-differential equations with impulses (34K45) Oscillation theory of functional-differential equations (34K11)

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Cites Work

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• Approximate analysis of a nonlinear dissipative model
• Pontryagin's maximum principle for constrained impulsive control problems
• Approximation of solutions to impulsive functional differential equations
• Variational approach to impulsive differential equations
• Vector Lyapunov functions for practical stability of nonlinear impulsive functional differential equations
• New comparison results for impulsive integro-differential equations and applications
• Theory of functional differential equations. 2nd ed
• Uniform asymptotic stability of abstract functional differential equations
• On the practical stability of the solutions of impulsive systems of differential-difference equations with variable impulsive perturbations
• Dynamic analysis of an SIR epidemic model with state dependent pulse vaccination
• A new nonlinear impulsive delay differential inequality and its applications
• Approximate symmetries in nonlinear viscoelastic media
• Lyapunov method for boundedness of solutions of nonlinear impulsive functional-differential equations
• Method of the quasilinearization for nonlinear impulsive differential equations with linear boundary conditions
• Impulsive differential equations with variable times
• Impulsive control for differential systems with delay
• Strict practical stability of delay differential equation.
• Lyapunov-Razumikhin method for impulsive functional differential equations and applications to the population dynamics