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Stability criteria for set dynamic equations on time scales

Authors :
Hong, Shihuang
Source :
Computers & Mathematics with Applications. Jun2010, Vol. 59 Issue 11, p3444-3457. 14p.
Publication Year :
2010

Abstract

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. [Copyright &y& Elsevier]

Details

Language :
English
ISSN :
08981221
Volume :
59
Issue :
11
Database :
Academic Search Index
Journal :
Computers & Mathematics with Applications
Publication Type :
Academic Journal
Accession number :
50735621
Full Text :
https://doi.org/10.1016/j.camwa.2010.03.033