Existence Results for Fractional Neutral Functional Differential Equations with Random Impulses [PDF]
Mathematics, 2015 In this paper, we investigate the existence of solutions for the fractional neutral differential equations with random impulses. The results are obtained by using Krasnoselskii’s fixed point theorem.
Annamalai Anguraj +3 more
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New Results on Impulsive Functional Differential Equations with Infinite Delays [PDF]
Abstract and Applied Analysis, 2013 We investigate the stability for a class of impulsive functional differential equations with infinite delays by using Lyapunov functions and Razumikhin-technique.
Jie Yang, Bing Xie
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Multiple Positive Periodic Solutions for Functional Differential Equations with Impulses and a Parameter [PDF]
Abstract and Applied Analysis, 2014 We apply the Krasnoselskii fixed-point theorem to investigate the existence of multiple positive periodic solutions for a class of impulsive functional differential equations with a parameter; some verifiable sufficient results are established easily. In
Zhenguo Luo
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Oscillation of high order linear functional differential equation with impulses
Electronic Journal of Differential Equations, 2005 We study the solutions to high-order linear functional differential equations with impulses. We improve previous results in the oscillation theory for ordinary differential equations and obtain new criteria on the oscillation of solutions.
Haihua Liang, Weizhen Feng
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Impulsive functional‐differential equations with nonlocalconditions [PDF]
International Journal of Mathematics and Mathematical Sciences, 2002 The existence, uniqueness, and continuous dependence of a mild solution of an impulsive functional‐differential evolution nonlocal Cauchy problem in general Banach spaces are studied. Methods of fixed point theorems, of a C0 semigroup of operators and the Banach contraction theorem are applied.
Haydar Akça +2 more
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Results in Control and Optimization, 2023 For a class of impulsive fractional differential equation with fractional order r∈(1,2)by means of solution operator Sr(t), we develop the mild solution and deal with the existence results of mild solution for the considered equation with state-dependent
Ganga Ram Gautam +5 more
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Existence and multiplicity of positive periodic solutions for a class of higher-dimension functional differential equations with impulses [PDF]
, 2009 This paper deals with the existence of multiple periodic solutions for n-dimensional functional differential equations with impulses. By employing the Krasnoselskii fixed point theorem, we obtain some easily verifiable sufficient criteria which extend ...
Agarwal, S +28 more
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Non-Instantaneous Impulsive BVPs Involving Generalized Liouville–Caputo Derivative
Mathematics, 2022 This manuscript investigates the existence, uniqueness and Ulam–Hyers stability (UH) of solution to fractional differential equations with non-instantaneous impulses on an arbitrary domain.
Ahmed Salem, Sanaa Abdullah
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Oscillations of Higher Order Functional Differential Equations with Impulses [PDF]
gmj, 2006 Abstract A kind of higher order sub-and super-linear FDE with impulses is studied in this paper. Several criteria on the oscillations of solutions are given. In particular, in the case where the coefficients of equations are positive and continuous functions, we find some suitable impulse functions such that all solutions of the equation
Zhang, Chaolong, Feng, Weizhen
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MultiPoint BVPs for Second‐Order Functional Differential Equations with Impulses [PDF]
Mathematical Problems in Engineering, 2009 This paper is concerned about the existence of extreme solutions of multipoint boundary value problem for a class of second‐order impulsive functional differential equations. We introduce a new concept of lower and upper solutions. Then, by using the method of upper and lower solutions introduced and monotone iterative technique, we obtain the ...
Yang, Xuxin, He, Zhimin, Shen, Jianhua
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