Fanchao Kong, Shiping Lu, Zaitao Liang
Abstract:
By applying Mawhin's continuation theorem, we study the existence of
positive periodic solutions for a second-order neutral functional differential
equation
where g has a strong singularity at x=0 and satisfies a small force
condition at
,
which is different from the corresponding
ones known in the literature.
Submitted May 6, 2015. Published September 21, 2015.
Math Subject Classifications: 34B16, 34B20, 34B24.
Key Words: Positive periodic solution; neutral differential equation;
deviating argument; singular; Mawhin's continuation.
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Fanchao Kong College of Mathematics and Computer Science Anhui Normal University Wuhu 241000, Anhui, China email: fanchaokong88@yahoo.com | |
Shiping Lu College of Mathematics and Statistics Nanjing University of Information Science and Technology Nanjing 210044, China email: lushiping26@sohu.com | |
Zaitao Liang Department of Mathematics College of Science, Hohai University Nanjing 210098, China email: liangzaitao@sina.cn |
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