Stability Analysis of Analytical and Numerical Solutions to Nonlinear Delay Differential Equations with Variable Impulses
Joint Authors
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-11-13
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
A stability theory of nonlinear impulsive delay differential equations (IDDEs) is established.
Existing algorithm may not converge when the impulses are variable.
A convergent numerical scheme is established for nonlinear delay differential equations with variable impulses.
Some stability conditions of analytical and numerical solutions to IDDEs are given by the properties of delay differential equations without impulsive perturbations.
American Psychological Association (APA)
Liu, X.& Zeng, Y. M.. 2017. Stability Analysis of Analytical and Numerical Solutions to Nonlinear Delay Differential Equations with Variable Impulses. Discrete Dynamics in Nature and Society،Vol. 2017, no. 2017, pp.1-8.
https://search.emarefa.net/detail/BIM-1151667
Modern Language Association (MLA)
Liu, X.& Zeng, Y. M.. Stability Analysis of Analytical and Numerical Solutions to Nonlinear Delay Differential Equations with Variable Impulses. Discrete Dynamics in Nature and Society No. 2017 (2017), pp.1-8.
https://search.emarefa.net/detail/BIM-1151667
American Medical Association (AMA)
Liu, X.& Zeng, Y. M.. Stability Analysis of Analytical and Numerical Solutions to Nonlinear Delay Differential Equations with Variable Impulses. Discrete Dynamics in Nature and Society. 2017. Vol. 2017, no. 2017, pp.1-8.
https://search.emarefa.net/detail/BIM-1151667
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1151667