Existence and Stability of Periodic Solution to Delayed Nonlinear Differential Equations

Joint Authors

Xia, Yong-Hui
Wang, Huicheng
Wong, Patricia J. Y.
Gu, Xiang

Source

Abstract and Applied Analysis

Issue

Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-12, 12 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2014-04-13

Country of Publication

Egypt

No. of Pages

12

Main Subjects

Mathematics

Abstract EN

The main purpose of this paper is to study the periodicity and global asymptotic stability of a generalized Lotka-Volterra’s competition system with delays.

Some sufficient conditions are established for the existence and stability of periodic solution of such nonlinear differential equations.

The approaches are based on Mawhin’s coincidence degree theory, matrix spectral theory, and Lyapunov functional.

American Psychological Association (APA)

Gu, Xiang& Wang, Huicheng& Wong, Patricia J. Y.& Xia, Yong-Hui. 2014. Existence and Stability of Periodic Solution to Delayed Nonlinear Differential Equations. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-12.
https://search.emarefa.net/detail/BIM-1033556

Modern Language Association (MLA)

Gu, Xiang…[et al.]. Existence and Stability of Periodic Solution to Delayed Nonlinear Differential Equations. Abstract and Applied Analysis No. 2014 (2014), pp.1-12.
https://search.emarefa.net/detail/BIM-1033556

American Medical Association (AMA)

Gu, Xiang& Wang, Huicheng& Wong, Patricia J. Y.& Xia, Yong-Hui. Existence and Stability of Periodic Solution to Delayed Nonlinear Differential Equations. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-12.
https://search.emarefa.net/detail/BIM-1033556

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1033556