Periodic solutions for a kind of rayleigh equation with two deviating arguments

In this paper, we use the coincidence degree theory to establish new results on the existence of $T$-periodic solutions for the Rayleigh equation with two deviating arguments of the form $$ x''+f(x(t), x'(t))+g_{1}(t,x(t-au_{1}(t))) +g_{2}(t,x(t-au_{2}(t)))=p(t)...

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Main Authors: Yuanheng Wu, Bing Xiao, Hong Zhang
Format: Article
Language:English
Published: Texas State University 2006-09-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2006/107/abstr.html
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spelling doaj-886f45e1349c484d82ef56e522494eab2020-11-24T23:00:28ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912006-09-012006107111Periodic solutions for a kind of rayleigh equation with two deviating argumentsYuanheng WuBing XiaoHong ZhangIn this paper, we use the coincidence degree theory to establish new results on the existence of $T$-periodic solutions for the Rayleigh equation with two deviating arguments of the form $$ x''+f(x(t), x'(t))+g_{1}(t,x(t-au_{1}(t))) +g_{2}(t,x(t-au_{2}(t)))=p(t). $$ http://ejde.math.txstate.edu/Volumes/2006/107/abstr.htmlRayleigh equationdeviating argumentperiodic solutioncoincidence degree.
collection DOAJ
language English
format Article
sources DOAJ
author Yuanheng Wu
Bing Xiao
Hong Zhang
spellingShingle Yuanheng Wu
Bing Xiao
Hong Zhang
Periodic solutions for a kind of rayleigh equation with two deviating arguments
Electronic Journal of Differential Equations
Rayleigh equation
deviating argument
periodic solution
coincidence degree.
author_facet Yuanheng Wu
Bing Xiao
Hong Zhang
author_sort Yuanheng Wu
title Periodic solutions for a kind of rayleigh equation with two deviating arguments
title_short Periodic solutions for a kind of rayleigh equation with two deviating arguments
title_full Periodic solutions for a kind of rayleigh equation with two deviating arguments
title_fullStr Periodic solutions for a kind of rayleigh equation with two deviating arguments
title_full_unstemmed Periodic solutions for a kind of rayleigh equation with two deviating arguments
title_sort periodic solutions for a kind of rayleigh equation with two deviating arguments
publisher Texas State University
series Electronic Journal of Differential Equations
issn 1072-6691
publishDate 2006-09-01
description In this paper, we use the coincidence degree theory to establish new results on the existence of $T$-periodic solutions for the Rayleigh equation with two deviating arguments of the form $$ x''+f(x(t), x'(t))+g_{1}(t,x(t-au_{1}(t))) +g_{2}(t,x(t-au_{2}(t)))=p(t). $$
topic Rayleigh equation
deviating argument
periodic solution
coincidence degree.
url http://ejde.math.txstate.edu/Volumes/2006/107/abstr.html
work_keys_str_mv AT yuanhengwu periodicsolutionsforakindofrayleighequationwithtwodeviatingarguments
AT bingxiao periodicsolutionsforakindofrayleighequationwithtwodeviatingarguments
AT hongzhang periodicsolutionsforakindofrayleighequationwithtwodeviatingarguments
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