Integro-differential equations and delay integral inequalities
About:
This article is published in Tohoku Mathematical Journal.The article was published on 1992-09-01 and is currently open access. It has received 39 citations till now. The article focuses on the topics: Integral equation & Volterra integral equation.read more
Citations
More filters
Journal ArticleDOI
Global stability of bidirectional associative memory neural networks with distributed delays
Hongyong Zhao,Hongyong Zhao +1 more
TL;DR: In this article, a model describing dynamics of bidirectional associative memory (BAM) neural networks with distributed delays is considered, and sufficient criteria of global asymptotic stability and uniform stability of an equilibrium point are given.
Journal ArticleDOI
Global asymptotic stability of Hopfield neural network involving distributed delays
TL;DR: Some new criteria ensuring the existence and uniqueness, and the global asymptotic stability (GAS) of equilibrium point are derived from dynamical behaviors of Hopfield neural networks system with distributed delays.
Journal ArticleDOI
Global dynamics of Hopfield neural networks involving variable delays
Daoyi Xu,Hongyong Zhao,Hong Zhu +2 more
TL;DR: In this article, a model describing dynamics of Hopfield neural networks involving variable delays is considered and the existence and uniqueness of the equilibrium point under fairly general and easily verifiable conditions are also established.
Journal ArticleDOI
New conditions for global exponential stability of cellular neural networks with delays
Hongyong Zhao,Jinde Cao +1 more
TL;DR: Some new conditions ensuring the existence, uniqueness of the equilibrium point and its global exponential stability for cellular neural networks are derived, independent of delays and possess infinitely adjustable real parameters.
Journal ArticleDOI
Global exponential stability of impulsive integro-differential equation
TL;DR: In this article, an impulsive integro-differential equation is considered and sufficient conditions for global exponential stability of the impulsive integral differential equation are obtained by establishing an integro differential inequality with impulsive initial conditions and using the properties of M-cone and eigenspace of the spectral radius of nonnegative matrices.
References
More filters
Book
The stability of dynamical systems
TL;DR: In this paper, an introduction to aspects of the theory of dynamical systems based on extensions of Liapunov's direct method is presented and the main ideas and structure for the theory are presented for difference equations and for the analogous theory for ordinary differential equations and retarded functional differential equations.