Contractivity and exponential stability of solutions to nonlinear neutral functional differential equations in banach spaces

2012 ◽  
Vol 28 (2) ◽  
pp. 289-304 ◽  
Author(s):  
Wan-sheng Wang ◽  
Shou-fu Li ◽  
Run-sheng Yang
Keyword(s):  
Differential Equations ◽  
Exponential Stability ◽  
Banach Spaces ◽  
Functional Differential Equations ◽  
Stability Of Solutions ◽  
Neutral Functional Differential Equations ◽  
Functional Differential

scholarly journals Existence and Exponential Stability of Solutions to Stochastic Neutral Functional Differential Equations

2017 ◽  
Vol 2017 ◽  
pp. 1-7
Author(s):  
Ling Hu ◽  
Zheng Wu ◽  
Zhangzhi Wei ◽  
Lianglong Wang
Keyword(s):  
Fixed Point ◽  
Differential Equations ◽  
Exponential Stability ◽  
Functional Differential Equations ◽  
Banach Fixed Point Theorem ◽  
Stability Of Solutions ◽  
Neutral Functional Differential Equations ◽  
Semigroup Approach ◽  
Existence And Stability ◽  
Functional Differential

In this paper we consider the existence and stability of solutions to stochastic neutral functional differential equations with finite delays. Under suitable conditions, the existence and exponential stability of solutions were obtained by using the semigroup approach and Banach fixed point theorem.

Some Uniqueness Results for Impulsive Semilinear Neutral Functional Differential Equations

2002 ◽  
Vol 9 (3) ◽  
pp. 423-430
Author(s):  
M. Benchohra ◽  
A. Ouahabi
Keyword(s):  
Differential Equations ◽  
Banach Spaces ◽  
Existence And Uniqueness ◽  
Functional Differential Equations ◽  
Uniqueness Of Solutions ◽  
Neutral Functional Differential Equations ◽  
Uniqueness Results ◽  
Banach Contraction ◽  
Functional Differential ◽  
The Banach Contraction Principle

Abstract 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.

On stability of nonlinear neutral functional differential equations

2017 ◽  
Vol 24 (1) ◽  
pp. 89-104 ◽  
Author(s):  
Pham Huu Anh Ngoc ◽  
Thai Bao Tran ◽  
Cao Thanh Tinh
Keyword(s):  
Differential Equations ◽  
Exponential Stability ◽  
Functional Differential Equations ◽  
Neutral Type ◽  
Sufficient Conditions ◽  
Time Varying ◽  
Challenging Problem ◽  
Neutral Functional Differential Equations ◽  
Novel Approach ◽  
Functional Differential

We address the challenging problem of the exponential stability of nonlinear time-varying functional differential equations of neutral type. By a novel approach, we present explicit sufficient conditions for the exponential stability of nonlinear time-varying neutral functional differential equations. A discussion of the obtained results and illustrative examples are given.

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