Homoclinic Solutions for a Class of Prescribed Mean Curvature Equation with a Deviating Argument
Received:March 18, 2013  Revised:March 19, 2014
Key Word: homoclinic solution   Mawhin's continuation theorem   prescribed mean curvature equation.  
Fund ProjectL:Supported by the National Natural Science Foundation of China (Grant No.11271197).
Author NameAffiliation
Shiping LU College of Mathematics and Statistics, Nanjing University of Information Science and Technology, Jiangsu 210044, P. R. China 
Zaitao LIANG Department of Mathematics, Anhui Normal University, Anhui 241000, P. R. China 
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Abstract:
      In this paper, by using Mawhin's continuation theorem and some analysis methods, the existence of a set with $2kT$-periodic solutions for a kind of prescribed mean curvature equation with a deviating argument is studied, and then a homoclinic solution is obtained as a limit of a certain subsequence of the above set.
Citation:
DOI:10.3770/j.issn:2095-2651.2014.04.011
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