Periodic Solutions and Nontrivial Periodic Solutions for a Class of Rayleigh-Type Equation with Two Deviating Arguments
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...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2013-01-01
|
| Series: | Journal of Function Spaces and Applications |
| Online Access: | http://dx.doi.org/10.1155/2013/414901 |
| id |
doaj-426269aae0d045a99457bf3da1bd8e14 |
|---|---|
| record_format |
Article |
| spelling |
doaj-426269aae0d045a99457bf3da1bd8e142020-11-24T23:19:46ZengHindawi LimitedJournal of Function Spaces and Applications0972-68021758-49652013-01-01201310.1155/2013/414901414901Periodic Solutions and Nontrivial Periodic Solutions for a Class of Rayleigh-Type Equation with Two Deviating ArgumentsMeiqiang Feng0School of Applied Science, Beijing Information Science & Technology University, Beijing 100192, ChinaThe 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.http://dx.doi.org/10.1155/2013/414901 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Meiqiang Feng |
| spellingShingle |
Meiqiang Feng Periodic Solutions and Nontrivial Periodic Solutions for a Class of Rayleigh-Type Equation with Two Deviating Arguments Journal of Function Spaces and Applications |
| author_facet |
Meiqiang Feng |
| author_sort |
Meiqiang Feng |
| title |
Periodic Solutions and Nontrivial Periodic Solutions for a Class of Rayleigh-Type Equation with Two Deviating Arguments |
| title_short |
Periodic Solutions and Nontrivial Periodic Solutions for a Class of Rayleigh-Type Equation with Two Deviating Arguments |
| title_full |
Periodic Solutions and Nontrivial Periodic Solutions for a Class of Rayleigh-Type Equation with Two Deviating Arguments |
| title_fullStr |
Periodic Solutions and Nontrivial Periodic Solutions for a Class of Rayleigh-Type Equation with Two Deviating Arguments |
| title_full_unstemmed |
Periodic Solutions and Nontrivial Periodic Solutions for a Class of Rayleigh-Type Equation with Two Deviating Arguments |
| title_sort |
periodic solutions and nontrivial periodic solutions for a class of rayleigh-type equation with two deviating arguments |
| publisher |
Hindawi Limited |
| series |
Journal of Function Spaces and Applications |
| issn |
0972-6802 1758-4965 |
| publishDate |
2013-01-01 |
| description |
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. |
| url |
http://dx.doi.org/10.1155/2013/414901 |
| work_keys_str_mv |
AT meiqiangfeng periodicsolutionsandnontrivialperiodicsolutionsforaclassofrayleightypeequationwithtwodeviatingarguments |
| _version_ |
1725577052309946368 |