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Global stability of the solutions of impulsive functional-differential equations

1998
Summary: Here, the global stability is studied for the solutions to impulsive functional-differential equations with fixed moments of impulse effect. By means of piecewise continuous functions, which are generalizations of the classical Lyapunov functions, sufficient conditions are obtained for global stability of the zero solution to these equations.
Bainov, D. D., Stamova, I. M.
openaire   +2 more sources

Razumikhin techniques in impulsive functional differential equations

Nonlinear Analysis: Theory, Methods & Applications, 1999
Here, impulsive functional-differential equations are considered. The uniform stability for such equations is proved by extending the Lyapunov- Razumikhin theorems to impulsive functional-differential equations. Some examples are given.
openaire   +2 more sources

Existence results for impulsive neutral functional differential equations with infinite delay

Nonlinear Analysis: Hybrid Systems, 2008
A Anguraj, M Mallika Arjunan
exaly  

Nonlinear boundary value problem of first order impulsive functional differential equations

Journal of Mathematical Analysis and Applications, 2006
Jitao Sun
exaly  

Vector Lyapunov functions for practical stability of nonlinear impulsive functional differential equations

Journal of Mathematical Analysis and Applications, 2007
Ivanka Stamova
exaly  

Systems of first order impulsive functional differential equations with deviating arguments and nonlinear boundary conditions

Nonlinear Analysis: Theory, Methods & Applications, 2011
Guotao Wang, Lihong Zhang
exaly  

Some criteria on th moment stability of impulsive stochastic functional differential equations

Statistics and Probability Letters, 2010
Shiguo Peng, Baoguo Jia
exaly  

Periodic boundary value problem for first-order impulsive functional differential equations

Computers and Mathematics With Applications, 2008
Zhujun Jing
exaly  

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