Existence, Uniqueness and Stability Results of Impulsive Stochastic Semilinear Functional Differential Equations with Infinite Delays
نویسندگان
چکیده
منابع مشابه
Existence, 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.
متن کاملExistence, Uniqueness and Stability Results of Impulsive Stochastic Semilinear Functional Differential Equations with Infinite Delays
This article presents the results on existence, uniqueness and stability of mild solution for impulsive stochastic semilinear functional differential equations with non-Lipschitz condition and Lipschitz condition. The results are obtained by using the method of successive approximation and Bihari’s inequality.
متن کاملSome Uniqueness Results for Impulsive Semilinear Neutral Functional Differential Equations
The Banach contraction principle is used to investigate the existence and uniqueness of solutions for first and second order impulsive semilinear neutral functional differential equations in Banach spaces. 2000 Mathematics Subject Classification: 34A37, 34G20, 34K25.
متن کاملNew Results on Impulsive Functional Differential Equations with Infinite Delays
and Applied Analysis 3 (iv) there exist constants M 1 ,M 2 > 0 such that the following inequalities hold:
متن کاملExistence, Uniqueness and Stability of Neutral Stochastic Functional Integro-differential Evolution Equations with Infinite Delay
This article presents the results on existence, uniqueness and stability of mild solutions to neutral stochastic functional evolution integro-differential equations with non-Lipschitz condition and Lipschitz condition. The existence of mild solutions for the equations are discussed by means of semigroup theory and theory of resolvent operator. Under some sufficient conditions, the results are o...
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ژورنال
عنوان ژورنال: Journal of Nonlinear Sciences and Applications
سال: 2011
ISSN: 2008-1901
DOI: 10.22436/jnsa.004.04.02