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

Joint Authors

Song, Minghui
Liu, Mingzhu

Source

Abstract and Applied Analysis

Issue

Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-14, 14 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2012-04-29

Country of Publication

Egypt

No. of Pages

14

Main Subjects

Mathematics

Abstract EN

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 θ-methods are obtained.

Some examples are illustrated.

American Psychological Association (APA)

Song, Minghui& Liu, Mingzhu. 2012. Stability of Analytic and Numerical Solutions for Differential Equations with Piecewise Continuous Arguments. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-14.
https://search.emarefa.net/detail/BIM-458068

Modern Language Association (MLA)

Song, Minghui& Liu, Mingzhu. Stability of Analytic and Numerical Solutions for Differential Equations with Piecewise Continuous Arguments. Abstract and Applied Analysis No. 2012 (2012), pp.1-14.
https://search.emarefa.net/detail/BIM-458068

American Medical Association (AMA)

Song, Minghui& Liu, Mingzhu. Stability of Analytic and Numerical Solutions for Differential Equations with Piecewise Continuous Arguments. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-14.
https://search.emarefa.net/detail/BIM-458068

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-458068