Stability of Analytic and Numerical Solutions for Differential Equations with Piecewise Continuous Arguments | Zendy

Minghui Song | Zendy; M.Z. Liu | Zendy

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Stability of Analytic and Numerical Solutions for Differential Equations with Piecewise Continuous Arguments

Author(s) -

Minghui Song,

M.Z. Liu

Publication year - 2012

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2012/258329

Subject(s) - mathematics , piecewise , matrix (chemical analysis) , stability (learning theory) , mathematical analysis , exponential stability , variable (mathematics) , numerical analysis , differential equation , nonlinear system , materials science , machine learning , computer science , physics , quantum mechanics , composite material

In this paper, the asymptotic stability of the analytic and numerical solutions for differential equations with piecewise continuous arguments is investigated by using Lyapunov methods. In particular, the linear equations with variable coefficients are considered. The stability conditions of the analytic solutions of those equations and the numerical solutions of the -methods are obtained. Some examples are illustrated

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