Results 171 to 180 of about 14,713 (200)

Stability of impulsive stochastic functional differential equations with delays

Applied Mathematics Letters
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Jingxian Guo, Shuihong Xiao, Jianli Li
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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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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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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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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 semilinear functional differential equations

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