Stability criteria for set dynamic equations on time scales

Authors:
Shihuang Hong
Affiliations:
Institute of Applied Mathematics and Engineering Computations, Hangzhou Dianzi University, Hangzhou, 310018, People's Republic of China
Venue:
Computers & Mathematics with Applications
Year:
2010

Citing 3
Cited 1

On Green's functions and positive solutions for boundary value problems on time scales

Journal of Computational and Applied Mathematics - Dynamic equations on time scales
Stability for time varying linear dynamic systems on time scales

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Stability criteria for set differential equations

Mathematical and Computer Modelling: An International Journal

Existence and global exponential stability of anti-periodic solutions for competitive neural networks with delays in the leakage terms on time scales

Neurocomputing

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Abstract

Very recently, a new theory known as set dynamic equations on time scales has been built. In this paper, notions of stability for the solutions of set dynamic equations on time scales, using Lyapunov-like functions are considered. Criteria for the equistability, equiasymptotic stability, uniform and uniform asymptotic stability are developed.