Stability of Volterra integro-differential equations with impulsive effect

DOI10.1016/0022-247X(92)90276-JzbMath0755.45014MaRDI QIDQ1191835

M. Rama Mohana Rao, Sanjay K. Srivastava, Seenith Sivasundaram

Publication date: 27 September 1992

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

nonlinearlinearStabilityVolterra integro-differential equations with impulsive effect

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Other nonlinear integral equations (45G10) Stability theory for integral equations (45M10)

Related Items

Vector Lyapunov functions for practical stability of nonlinear impulsive functional differential equations, On the general problem of stability for impulsive differential equations., ON STABILITY OF NONLINEAR INTEGRO-DIFFERENTIAL SYSTEMS WITH IMPULSIVE EFFECT, Impulsive stabilization of functional differential equations with infinite delays, Stabiity of functional differential equations with infinite delays, Stability results for impulsive functional differential equations with infinite delays, Stability and boundedness for impulsive functional differential equations with infinite delays, Control of a boundary value problem for a linear impulsive integro-differential system, Exponential asymptotic stability of nonlinear Volterra equations with random impulses, The control of the boundary value problem for linear impulsive integro-differential systems

Cites Work

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• Stability criteria for impulsive differential equations in terms of two measures
• Asymptotic behavior of solutions of impulsive integrodifferential systems
• Sufficient conditions for absence of ”beating” in systems of differential equations with impulses
• Stability with respect to part of the variables in systems with impulse effect