Results 151 to 160 of about 17,651 (182)

On the solutions for impulsive fractional functional differential equations

Differential Equations and Dynamical Systems, 2009
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Chen, Fulai, Chen, Anping, Wang, Xiaoping   +2 more
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Stability of sets of functional differential equations with impulse effect

Applied Mathematics and Computation, 2011
The stability of sets is more general than the known stability which concerns the trivial solution, or a nontrivial solution. The stability of sets is a special stability, in terms of two measures. In this paper the author discusses the stability of sets for functional differential equations with impulses.
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Asymptotic stability for impulsive functional differential equations

Applied Mathematics and Mechanics, 2009
To a nonlinear scalar impulsive functional differential equation the second Lyapunov method and Jensen's inequality are applied to obtain new asymptotic stability results. An interesting example of an equation with infinite number of terms is considered.
Luo, Zhi-guo, Luo, Yan
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Impulsive Semi-linear Functional Differential Equations

2015
In this chapter, we shall prove the existence of mild solutions of first order impulsive functional equations in a separable Banach space. Our approach will be based for the existence of mild solutions, on a fixed point theorem of Burton and Kirk [88] for the sum of a contraction map and a completely continuous map.
Saïd Abbas, Mouffak Benchohra
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Impulsive Functional-Differential Equations of Fractional Order with Variable Moments

Ukrainian Mathematical Journal, 2017
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Impulsive semilinear functional differential equations

2002
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Benchohra, M., Guedda, M., Kirane, M.
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Controllability for Time-dependent Neutral Stochastic Functional Differential Equations with Rosenblatt Process and Impulses

International Journal of Control, Automation and Systems, 2019
E. Lakhel, M. McKibben
semanticscholar   +2 more sources

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.
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Impulsive Partial Hyperbolic Functional Differential Equations

2012
In this chapter, we shall present existence results for some classes of initial value problems for fractional order partial hyperbolic differential equations with impulses at fixed or variable times impulses.
Saïd Abbas, Mouffak Benchohra, Gaston M. N’Guérékata   +2 more
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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.
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