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Random Fuzzy Differential Equations with Impulses [PDF]
We consider the random fuzzy differential equations (RFDEs) with impulses. Using Picard method of successive approximations, we shall prove the existence and uniqueness of solutions to RFDEs with impulses under suitable conditions. Some of the properties of solution of RFDEs with impulses are studied.
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We have given some results regarding the behavior of solutions for first order linear impulsive neutral delay differential equations with constant coefficients.
Ali Fuat Yeniçerioğlu
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In this paper, an impulsive fractional-like system of differential equations is introduced. The notions of practical stability and boundedness with respect to h-manifolds for fractional-like differential equations are generalized to the impulsive case ...
Gani Stamov +2 more
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In order to extend the basic theory of boundary value problems, the existence of solutions for a class of Hilfer fractional impulsive differential equations with finite impulsive points was studied.
Chunjing GUO +3 more
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Stability Analysis for a Class of Stochastic Differential Equations with Impulses
This paper is concerned with the problem of asymptotic stability for a class of stochastic differential equations with impulsive effects. A sufficient criterion on asymptotic stability is derived for such impulsive stochastic differential equations via ...
Mingli Xia +3 more
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Regularity Coefficients for Impulsive Differential Equations
Abstract For a linear impulsive differential equation, we introduce a Lyapunov regularity coefficient following as far as possible the non-impulsive case. We recall that a regularity coefficient is a quantity that characterizes the Lyapunov regularity of the dynamics.
Barreira, Luis, Valls, Claudia
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A stability theory of nonlinear impulsive delay differential equations (IDDEs) is established. Existing algorithm may not converge when the impulses are variable.
X. Liu, Y. M. Zeng
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Some new integral inequalities with mixed nonlinearities for discontinuous functions
In this paper, we establish some new integral inequalities with mixed nonlinearities for discontinuous functions, which provide a handy tool in deriving the explicit bounds for the solutions of impulsive differential equations and differential-integral ...
Haidong Liu
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Asymptotic Stability of a Class of Impulsive Delay Differential Equations
This paper is concerned with a class of linear impulsive delay differential equations. Asymptotic stability of analytic solutions of this kind of equations is studied by the property of delay differential equations without impulsive perturbations.
G. L. Zhang, M. H. Song, M. Z. Liu
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Asymptotic Behavior of Impulsive Differential Equations
This is one of the first works devoted to the study of asymptotic behaviour of solutions of the following impulsive system: \(x' = f(t,x)\), \(t \neq t_i\), \(\Delta x(t_i) = \varphi_i (x(t_i))\), \(t_i \to + \infty\), \((t,x) \in \mathbb{R}_+ \times \mathbb{R}^n\).
González, Patricio +1 more
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