Existence results for impulsive neutral functional integrodifferential equation with infinite delay
نویسندگان
چکیده
منابع مشابه
Existence Results for a Second Order Impulsive Neutral Functional Integrodifferential Inclusions in Banach Spaces with Infinite Delay
A fixed point theorem for condensing maps due to Martelli combined with theories of a strongly continuous cosine family of bounded linear operators is used to investigate the existence of solutions to second order impulsive neutral functional integrodifferential inclusions with infinite delay in Banach spaces.
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For a family of differential equations with infinitive delay and impulses, we establish conditions for the existence of global solutions and for the global asymptotic and global exponential stabilities of an equilibrium point. The results are used to give stability criteria for a very broad family of impulsive neural network models with both unbounded distributed delays and bounded time-varying...
متن کاملExistence Results for Non-densely Defined Impulsive Neutral Functional Differential Inclusions with State-dependent Delay
V. Kavitha,M. Mallika Arjunan ∗ C. Ravichandran 1 Department of Mathematics, Karunya University, Karunya Nagar,Coimbatore-641 114, Tamil Nadu, India Department of Mathematics, Karunya University, Karunya Nagar,Coimbatore641 114, Tamil Nadu, India Department of Mathematics, Karunya University, Karunya Nagar,Coimbatore641 114, Tamil Nadu, India (Received 27 Sepember 2011 , accepted 17 April 2012)
متن کاملExistence, Uniqueness and Stability Results of Impulsive Stochastic Semilinear Neutral Functional Differential Equations with Infinite Delays
This article presents the results on existence, uniqueness and stability of mild solutions of impulsive stochastic semilinear neutral functional differential equations without a Lipschitz condition and with a Lipschitz condition. The results are obtained by using the method of successive approximations. 2000 Mathematical Subject Classification: 93E15,60H15,35R12.
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ژورنال
عنوان ژورنال: Journal of Nonlinear Sciences and Applications
سال: 2013
ISSN: 2008-1901
DOI: 10.22436/jnsa.006.04.01