Rotating periodic solutions for second order systems with Hartman-type nonlinearity
Abstract In this paper, by a constructive proof based on the homotopy continuation method, we prove that the second order system x″=g(t,x) $x''=g(t,x)$ admits rotating periodic solutions with form u(t+T)=Qu(t) $u(t+T)=Qu(t)$ for any orthogonal matrix Q when the nonlinearity g admits the Ha...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2018-03-01
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| Series: | Boundary Value Problems |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13661-018-0955-5 |