Some Uniqueness Results for Impulsive Semilinear Neutral Functional Differential Equations
نویسنده
چکیده
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.
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 کاملMultiple Solutions for Impulsive Semilinear Functional and Neutral Functional Differential Equations in Hilbert Space
This paper is concerned with the existence of mild solutions of some classes of initial value problem for firstand second-order impulsive semilinear functional and neutral functional differential equations. Initially, we will consider initial value problems for firstorder impulsive semilinear functional differential equations y′(t)−Ay(t) = f (t, yt), a.e. t ∈ J := [0,b], t = tk, k = 1, . . . ,m...
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 کاملOn impulsive fuzzy functional differential equations
In this paper, we prove the existence and uniqueness of solution to the impulsive fuzzy functional differential equations under generalized Hukuhara differentiability via the principle of contraction mappings. Some examples are provided to illustrate the result.
متن کاملOn Mild Solutions Of Nonlocal Semilinear Impulsive Functional Integro-Differential Equations∗
In the present paper, we investigate the existence, uniqueness and continuous dependence on initial data of mild solutions of first order nonlocal semilinear functional impulsive integro-differential equations of more general type with finite delay in Banach spaces. Our analysis is based on semigroup theory and Banach contraction theorem.
متن کامل