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Journal of Hebei University of Science and Technology, 2023 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
Mathematics, 2023 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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Periodic solutions of measure functional differential equations [PDF]
, 2022 In this article, we study the existence of periodic solutions for measure functional differential equations of the form x(t)=x(0)+∫0tf(s,xs)ds+∫0tg(s,xs)du(s), defined for every t∈R, under suitable assumptions on f,g and u, where the integrals on the ...
Afonso, S. M. [UNESP] +2 more
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Discrete Dynamics in Nature and Society, 2017 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
Advances in Difference Equations, 2018 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
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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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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Regularity and stochasticity of nonlinear dynamical systems [PDF]
, 2017 This book presents recent developments in nonlinear dynamics and physics with an emphasis on complex systems. The contributors provide recent theoretic developments and new techniques to solve nonlinear dynamical systems and help readers understand ...
Akhmet, Marat, Kivilcim, Aysegul
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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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