✦ LIBER ✦

The existence and exponential stability of semilinear functional differential equations with random impulses under non-uniqueness

✍ Scribed by A. Anguraj; Shujin Wu; A. Vinodkumar

Publisher: Elsevier Science
Year: 2011
Tongue: English
Weight: 257 KB
Volume: 74
Category: Article
ISSN: 0362-546X
DOI: 10.1016/j.na.2010.07.007

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Existence, uniqueness and stability resu

Existence, uniqueness and stability results of random impulsive semilinear differential systems

✍ A. Anguraj; A. Vinodkumar 📂 Article 📅 2010 🏛 Elsevier 🌐 English ⚖ 298 KB

In this paper, we consider semilinear differential systems with random impulses. We study the existence and uniqueness of the solutions by relaxing the linear growth conditions, sufficient conditions for stability through continuous dependence on initial conditions and the exponential stability of t

On the existence, uniqueness and stabili

On the existence, uniqueness and stability of solutions of a nonlinear functional differential equation

✍ Paul L Davis 📂 Article 📅 1971 🏛 Elsevier Science 🌐 English ⚖ 443 KB

Remarks on the existence and uniqueness

Remarks on the existence and uniqueness of the solutions to stochastic functional differential equations with infinite delay

✍ Yong Ren; Shiping Lu; Ningmao Xia 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 151 KB

In this paper, we obtain some results on the existence and uniqueness of solutions to stochastic functional differential equations with infinite delay at phase space BC((-∞, 0]; R d ) which denotes the family of bounded continuous R d -value functions defined on (-∞, 0] with norm = sup -∞< 0 | ( )|

Existence, uniqueness, stochastic persis

Existence, uniqueness, stochastic persistence and global stability of positive solutions of the logistic equation with random perturbation

✍ Chunyan Ji; Daqing Jiang; Ningzhong Shi; Donal O'Regan 📂 Article 📅 2006 🏛 John Wiley and Sons 🌐 English ⚖ 128 KB

## Abstract This paper discusses a randomized logistic equation equation image with initial value __x__(0)=__x__~0~>0, where __B__(__t__) is a standard one‐dimension Brownian motion, and θ∈(0, 0.5). We show that the positive solution of the stochastic differential equation does not explode at any

Existence, uniqueness and stability anal

Existence, uniqueness and stability analysis of recurrent neural networks with time delay in the leakage term under impulsive perturbations

✍ Xiaodi Li; Xilin Fu; P. Balasubramaniam; R. Rakkiyappan 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 782 KB

An analysis on the global exponential st

An analysis on the global exponential stability and the existence of periodic solutions for non-autonomous hybrid BAM neural networks with distributed delays and impulses

✍ Yao-tang Li; Jiyu Wang 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 326 KB

In this paper, by utilizing the Lyapunov functional method, applying M-matrix, Young inequality technique and other analysis techniques, we analyze the exponential stability and the existence of periodic solutions for non-autonomous hybrid BAM neural networks with distributed delays and impulses. Su