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Asymptotic Stability of a Class of Impulsive Delay Differential Equations
Journal of Applied Mathematics, 2012 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
Rocky Mountain Journal of Mathematics, 1996 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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, 2023 Harvesting is one of the ways for humans to realize economic interests, while unrestricted harvesting will lead to the extinction of populations.
Jianjun Jiao, Qi Quan, Xiangjun Dai
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On some impulsive fractional differential equations in Banach spaces [PDF]
Opuscula Mathematica, 2010 This paper deals with some impulsive fractional differential equations in Banach spaces. Utilizing the Leray-Schauder fixed point theorem and the impulsive nonlinear singular version of the Gronwall inequality, the existence of \(PC\)-mild solutions for ...
JinRong Wang, W. Wei, YanLong Yang
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Ulam Stabilities for Partial Impulsive Fractional Differential Equations [PDF]
, 2014 summary:In this paper we investigate the existence of solutions for the initial value problems (IVP for short), for a class of implicit impulsive hyperbolic differential equations by using the lower and upper solutions method combined with Schauder’s ...
Abbas, Saïd +2 more
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Eventual stability and eventual boundedness for impulsive differential equations with “supremum”
Mathematical Modelling and Analysis, 2011 Eventual stability and eventual boundedness for nonlinear impulsive differential equations with supremums are studied. The impulses take place at fixed moments of time. Piecewise continuous Lyapunov functions have been applied.
Ivanka Stamova
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Bifurcation of Bounded Solutions of Impulsive Differential Equations [PDF]
International Journal of Bifurcation and Chaos, 2016 In this article, we examine nonautonomous bifurcation patterns in nonlinear systems of impulsive differential equations. The approach is based on Lyapunov–Schmidt reduction applied to the linearization of a particular nonlinear integral operator whose zeroes coincide with bounded solutions of the impulsive differential equation in question. This leads
Kevin E. M. Church, Xinzhi Liu
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About differential inequalities for nonlocal boundary value problems with impulsive delay equations [PDF]
, 2015 summary:We propose results about sign-constancy of Green's functions to impulsive nonlocal boundary value problems in a form of theorems about differential inequalities. One of the ideas of our approach is to construct Green's functions of boundary value
Volinsky, Irina, Domoshnitsky, Alexander
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Impulsive Hilfer fractional differential equations
Advances in Difference Equations, 2018 Existence and controllability results for nonlinear Hilfer fractional differential equations are studied. Sufficient conditions for existence and approximate controllability for Sobolev-type impulsive fractional differential equations are established ...
Hamdy M. Ahmed +3 more
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Cubo, 2023 In this research article, we delimitate the definition of mild solution for abstract fractional differential equations with state-dependent delay (AFDEw/SDD) of order \(\alpha\in(1,2)\) with impulsive effects and compare the solution to the second-order ...
Ganga Ram Gautam +4 more
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