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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   +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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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 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   +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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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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Impulsive functional-differential equations of first order

Commentationes Mathematicae, 2007
In this paper we present some existence results for impulsive functionaldifferential equations of first order.
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