Periodic solutions for neutral functional differential equations with impulses on time scales
Electronic Journal of Differential Equations, 2012 Let $mathbb{T}$ be a periodic time scale. We use Krasnoselskii's fixed point theorem to show that the neutral functional differential equation with impulses $$displaylines{ x^{Delta}(t)=-A(t)x^sigma(t)+g^Delta(t,x(t-h(t)))+f(t,x(t),x(t-h(t))),quad ...
Yongkun Li, Xiaoyan Dou, Jianwen Zhou
doaj
Equivalence between distributional differential equations and periodic problems with state-dependent impulses [PDF]
, 2018 The paper points out a relation between the distributional differential equation of the second order and the periodic problem for differential equations with state-dependent impulses.
Tomeček Jan +5 more
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Non-Instantaneous Impulses in Differential Equations [electronic resource] /
, 2017 This monograph is the first published book devoted to the theory of differential equations with non-instantaneous impulses. It aims to equip the reader with mathematical models and theory behind real life processes in physics, biology, population ...
Hristova, Snezhana.author.authttp://id.loc.gov/vocabulary/relators/aut +3 more
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On second order impulsive functional differential equations inBanach spaces [PDF]
International Journal of Stochastic Analysis, 2001 In this paper, a fixed point theorem due to Schaefer is used to investigate the existence of solutions for second order impulsive functional differential equations in Banach spaces.
Benchohra, M., Ntouyas, S. K.
openaire +2 more sources
Impulsive functional differential equations with variable times
Computers & Mathematics with Applications, 2004 The authors investigate the existence of solutions to a first-order retarded functional-differential equation with impulses. The case including higher-order equations and studied by the same authors can be found in [Dyn. Syst. Appl. 12, No. 3--4, 383--392 (2003; Zbl 1073.34092)].
Benchohra, M. +3 more
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Convergence rate of numerical solutions to SFDEs with jumps [PDF]
, 2011 In this paper, we are interested in numerical solutions of stochastic functional differential equations with jumps. Under a global Lipschitz condition, we show that the pth-moment convergence of Euler–Maruyama numerical solutions to stochastic functional
Yuan, Chenggui +3 more
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Stability Analysis of Analytical and Numerical Solutions to Nonlinear Delay Differential Equations with Variable Impulses [PDF]
, 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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Asymptotic stability for impulsive functional differential equation
Journal of Mathematical Analysis and Applications, 2007 This paper investigates the stability of impulsive functional differential equations. By extending Lyapunov's approach, some sufficient conditions are given for asymptotic stability and uniformly asymptotic stability of the equations. The obtained theorems extend or improve some existing results in recent publications.
Chen, Fulai, Wen, Xianzhang
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On retarded differential equations with impulses
, 2001 We are concerned with the effect of impulses in retarded functional differential equations. By using fixed point techniques we prove the existence of periodic solutions of some impulsive equations.
Quiroga, Maria Elisa, Taboas, Placido Z.
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Non-instantaneous impulses in caputo fractional differential equations
, 2017 Recent modeling of real world phenomena give rise to Caputo type fractional order differential equations with non-instantaneous impulses. The main goal of the survey is to highlight some basic points in introducing non-instantaneous impulses in Caputo ...
Hristova, Snezhana +5 more
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