Shengjun Li, Fang-fang Liao, Wenya Xing
Abstract:
In this article, we study the second-order forced Lienard equation
x''+f(x)x'+g(x)=e(t). By using the topological degree theory, we prove
that the equation has at least one positive periodic solution when g
admits a repulsive singularity near the origin and satisfies some semilinear
growth conditions near infinity. Recent results in the literature are
generalized and complemented.
Submitted November 2, 2014. Published June 10, 2015.
Math Subject Classifications: 34C25.
Key Words: Periodic solution; singular systems; topological degree.
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Shengjun Li College of Information Sciences and Technology Hainan University Haikou 570228, China email: shjli626@126.com |
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Fang-fang Liao Nanjing College of Information Technology Nanjing 210046, China email: liaofangfang8178@sina.com |
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Wenya Xing College of Information Sciences and Technology Hainan University Haikou 570228, China email: wenyaxing@hainu.edu.cn |
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