Stability analysis of second-order differential systems with Erlang distribution random impulses

DOI10.1186/1687-1847-2013-4zbMath1368.34025OpenAlexW2172104648WikidataQ59301942 ScholiaQ59301942MaRDI QIDQ2360501

Jitao Sun, Shuorui Zhang

Publication date: 4 July 2017

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1847-2013-4

zbMATH Keywords

stabilityoscillationErlang distributionrandom impulseslinear differential system

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) Stability of solutions to ordinary differential equations (34D20) Linear ordinary differential equations and systems (34A30) Ordinary differential equations and systems with randomness (34F05) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10)

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Cites Work

• Unnamed Item
• Impulsive differential equations with nonlocal conditions in general Banach spaces
• Exponential stability of impulsive stochastic functional differential equations
• The existence and exponential stability of semilinear functional differential equations with random impulses under non-uniqueness
• Stability analysis of a class of stochastic differential delay equations with nonlinear impulsive effects
• Existence and uniqueness of solutions to random impulsive differential systems
• Stability properties of solutions of linear second order differential equations with random coefficients
• Oscillation and other properties of linear impulsive and nonimpulsive delay equations
• Boundedness of nonlinear differential systems with impulsive effect on random moments
• On stability of perturbed impulsive differential systems
• Oscillation, stability, and boundedness of second-order differential systems with random impulses
• Existence and uniqueness of stochastic differential equations with random impulses and Markovian switching under non-Lipschitz conditions
• Exponential stability of stochastic functional differential equations with Markovian switching and delayed impulses via Razumikhin method
• Nonlinear boundary value problem of first order impulsive functional differential equations
• Stability Analysis in Terms of Two Measures for Impulsive Differential Equations
• Impulsive stabilization of nonlinear systems