标题:Boundedness of Solutions for a Class of Sublinear Reversible Oscillators with Periodic Forcing
作者:Zhang, Tingting; Si, Jianguo
作者机构:[Zhang, Tingting; Si, Jianguo] Shandong Univ, Sch Math, Jinan 250100, Peoples R China.
通讯作者:Si, JG
通讯作者地址:[Si, JG]Shandong Univ, Sch Math, Jinan 250100, Peoples R China.
来源:ABSTRACT AND APPLIED ANALYSIS
出版年:2013
DOI:10.1155/2013/246343
摘要:We study the boundedness of all solutions for the following differential equation x '' + f(x)x' + (B + epsilon e(t) vertical bar x vertical bar(alpha-1)x = p(t) where f(x), p(t) are odd functions, e(t) is an even function, e(t), p(t) are smooth 1-periodic functions, B is a nonzero constant, and epsilon is a small parameter. A sufficient and necessary condition for the boundedness of all solutions of the above equation is established. Moreover, the existence of Aubry-Mather sets is obtained as well.
收录类别:SCOPUS;SCIE
WOS核心被引频次:1
Scopus被引频次:1
资源类型:期刊论文
原文链接:https://www.scopus.com/inward/record.uri?eid=2-s2.0-84880152579&doi=10.1155%2f2013%2f246343&partnerID=40&md5=a6a6ca89c4202bbbccf31792e9700fab
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