Periodic Solutions and Nontrivial Periodic Solutions for a Class of Rayleigh-Type Equation with Two Deviating Arguments
Author
Source
Journal of Function Spaces and Applications
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-10-01
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
The Rayleigh equation with two deviating arguments x′′(t)+f(x'(t))+g1(t,x(t-τ1(t)))+g2(t,x(t-τ2(t)))=e(t) is studied.
By using Leray-Schauder index theorem and Leray-Schauder fixed point theorem, we obtain some new results on the existence of periodic solutions, especially for the existence of nontrivial periodic solutions to this equation.
The results are illustrated with two examples, which cannot be handled using the existing results.
American Psychological Association (APA)
Feng, Meiqiang. 2013. Periodic Solutions and Nontrivial Periodic Solutions for a Class of Rayleigh-Type Equation with Two Deviating Arguments. Journal of Function Spaces and Applications،Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-470299
Modern Language Association (MLA)
Feng, Meiqiang. Periodic Solutions and Nontrivial Periodic Solutions for a Class of Rayleigh-Type Equation with Two Deviating Arguments. Journal of Function Spaces and Applications No. 2013 (2013), pp.1-7.
https://search.emarefa.net/detail/BIM-470299
American Medical Association (AMA)
Feng, Meiqiang. Periodic Solutions and Nontrivial Periodic Solutions for a Class of Rayleigh-Type Equation with Two Deviating Arguments. Journal of Function Spaces and Applications. 2013. Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-470299
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-470299