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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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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Lyapunov–Razumikhin method for impulsive functional differential equations and applications to the population dynamics [PDF]
, 2001 summary:We present a result on the stability of moving invariant manifolds of nonlinear uncertain impulsive differential-difference equations.
Stamov, Gani Tr. +2 more
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Impulsive fractional functional differential equations
Computers & Mathematics with Applications, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tian Liang Guo, Wei Jiang 0013
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A Survey on Oscillation of Impulsive Ordinary Differential Equations [PDF]
Advances in Difference Equations, 2010 The authors make a fundamental survey on oscillation of first- and second-order of linear, half-linear, super-half-linear and nonlinear impulse differential equations. The Sturmian theory for second-order linear impulse equations is discussed, too.
Agarwal, Ravi P. +2 more
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Impulsive psi-Caputo fractional equations involving operator pairs in Banach spaces
Electronic Journal of Differential EquationsThis article studies two classes of \(\psi\)-Caputo fractional equations with impulsive conditions and operator pairs in Banach spaces: one is the impulsive Sobolev-type integro-differential equations with operator pairs on bounded intervals, the other ...
Jin Liang, Yunyi Mu, Ti-Jun Xiao
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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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On the fractional differential equations with not instantaneous impulses
Open Physics, 2016 AbstractBased on some previous works, an equivalent equations is obtained for the differential equations of fractional-orderq∈(1, 2) with non-instantaneous impulses, which shows that there exists the general solution for this impulsive fractional-order systems. Next, an example is used to illustrate the conclusion.
Zhang, Xianmin +5 more
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Existence results for first order impulsive functional differential equations with state-dependent delay [PDF]
, 2008 summary:In this paper we study the existence of solutions for impulsive differential equations with state dependent delay. Our results are based on the Leray–Schauder nonlinear alternative and Burton–Kirk fixed point theorem for the sum of two ...
Hedia, Benaouda +5 more
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Variational Methods for an Impulsive Fractional Differential Equations with Derivative Term
, 2019 This paper is devoted to studying the existence of solutions to a class of impulsive fractional differential equations with derivative dependence. The used technical approach is based on variational methods and iterative methods.
Haibo Chen, Jiafa Xu, Yulin Zhao
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