Existence of periodic solutions for a fourth-order -Laplacian equation with a deviating argument期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Under various assumptions, the existence of periodic solutions of the problem is obtained by applying Mawhin’s continuation theorem.

Existence of periodic solutions for a fourth-order -Laplacian equation with a deviating argument

Authors:	Shiping Lu Shan Jin

Affiliation:	^aCollege of Math and Physics, Nanjing University of Information and Technology, Nanjing 210044, PR China;^bDepartment of Mathematics, Anhui Normal University, Wuhu 241000, Anhui, PR China

Abstract:	In this paper, we study the existence of periodic solutions for a fourth-order p-Laplacian differential equation with a deviating argument as follows: [φ_p(u^″(t))]^″+f(u^″(t))+g(u(t−τ(t)))=e(t).

Keywords:	Periodic solution Continuation theorem Deviating argument mml4" > text-decoration:none color:black" href=" /science?_ob=MathURL&_method=retrieve&_udi=B6TYH-4VCNP7D-2&_mathId=mml4&_user=10&_cdi=5619&_rdoc=20&_acct=C000069468&_version=1&_userid=6189383&md5=e5cf054a09cfde85ecbb338f3e985bfc" title=" Click to view the MathML source" alt=" Click to view the MathML source" >p-Laplacian
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