Results 1 to 10 of about 919 (260)
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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A New Comparison Principle for Impulsive Functional Differential Equations [PDF]
Discrete Dynamics in Nature and Society, 2015 We establish a new comparison principle for impulsive differential systems with time delay. Then, using this comparison principle, we obtain some sufficient conditions for several stabilities of impulsive delay differential equations. Finally, we present an example to show the effectiveness of our results.
Gang Li, Weizhong Ling, Changming Ding
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Stability of impulsive functional differential equations via the Liapunov functional
Applied Mathematics Letters, 2009 AbstractIn this work, we investigate the stability of a class of impulsive functional differential equations. Some general stability theorems are obtained. Our results can be applied to finite delay impulsive systems or infinite delay impulsive systems or impulsive systems involving both finite and infinite delays, in a unified way.
Zhiguo Luo, Jianhua Shen
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The existence of solutions for impulsive neutral functional differential equations
Computers and Mathematics With Applications, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Marcos Rabelo, , Claudio Cuevas
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New comparison results for impulsive functional differential equations
Applied Mathematics Letters, 2010 The authors obtain sufficient conditions for the solution of the periodic boundary value problem to be negative. To solve this problem they compare solutions of differential equations and differential inequalities.
Jianli Li
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Impulsive Stabilization of Functional Differential Equations via Liapunov Functionals
Journal of Mathematical Analysis and Applications, 1999 The authors discuss the use of the second Lyapunov method and the use of Lyapunov functionals in the analysis of impulsive stabilization problems concerning functional-differential equations of the form \[ x'(t)= f(t, x_t),\quad t\geq t_0,\quad \Delta_x= I_k(t, x(t^-)),\quad t= t_k,\quad k\in \mathbb{Z}^+. \]
Zhiguo Luo, Xinzhi Liu
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Frontiers in Physics, 2021 In this article, we study the existence and uniqueness of square-mean piecewise almost periodic solutions to a class of impulsive stochastic functional differential equations driven by fractional Brownian motion.
Lili Gao, Xichao Sun
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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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Exponential Stability of Impulsive Neutral Stochastic Functional Differential Equations
Mathematics, 2022 This paper focuses on the problem of the pth moment and almost sure exponential stability of impulsive neutral stochastic functional differential equations (INSFDEs).
Yunfeng Li, Pei Cheng, Zheng Wu
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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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