| Homoclinic Solutions for a Class of Prescribed Mean Curvature Equation with a Deviating Argument |
| Received:March 18, 2013 Revised:March 19, 2014 |
| Key Words:
homoclinic solution Mawhin's continuation theorem prescribed mean curvature equation.
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| Fund Project:Supported by the National Natural Science Foundation of China (Grant No.11271197). |
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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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