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Stability Analysis of Impulsive Functional Differential Equations

, 2009
This book is devoted to impulsive functional differential equations which are a natural generalization of impulsive ordinary differential equations (without delay) and of functional differential equations (without impulses).
Stamova, Ivanka
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Impulsive neutral functional differential equations with variable times

Nonlinear Analysis: Theory, Methods & Applications, 2003
The authors investigate the existence of solutions for first- and second-order impulsive neutral functional-differential equations with variable times. The fixed-point theorem due to Schaefer is used.
Benchohra, Mouffak, Ouahab, Abdelghani
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Stability of impulsive stochastic functional differential equations with delays

Applied Mathematics Letters
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jingxian Guo, Shuihong Xiao, Jianli Li
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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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Approximation of solutions to impulsive functional differential equations

Journal of Applied Mathematics and Computing, 2009
The authors consider the impulsive semilinear functional differential equation \[ u'(t)+ Au(t)=f(t,u_t),\quad t\in (0,T), \;t\neq t_k, \] \[ \Delta u(t_k)=I_k(u(t_k)), \quad k=1,2,\dots, p,\tag{1} \] \[ u(t)=h(t), \quad t\in [-\tau,0], \] where \(-A\) is the infinitesimal generator of an analytic semigroup on a separable Hilbert space \(H\), \(I_k:H\to
Muslim, M., Agarwal, Ravi P.
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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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Difference methods for impulsive differential-functional equations

Applied Numerical Mathematics, 1995
One analyzes a class of first-order impulsive partial differential- functional equations. A sequence of approximate solutions is obtained under some given assumptions, and sufficient conditions for the convergence are given. The basic tool is a general model of a finite difference scheme.
Bainov, Drumi D., Kamont, Zdzislaw, Minchev, Emil   +2 more
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Impulsive semilinear functional differential equations

2002
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Benchohra, M., Guedda, M., Kirane, M.
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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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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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