MULTIPLICITY OF PERIODIC SOLUTIONS OF DUFFING'S EQUATIONS WITH LIPSCHITZIAN CONDITION MULTIPLICITY OF PERIODIC SOLUTIONS OF DUFFING'S EQUATIONS WITH LIPSCHITZIAN CONDITION |
| |
Authors: | WANG ZAIHONG |
| |
Abstract: | This paper deals with the existence and multiplicity of periodic solutions of Duffing equations x g(x) = p(t). The author proves an infinity of periodic solutions to the periodically forced nonlinear Duffing equations provided that g(x) satisfies the globally lipschitzian condition and the time-mapping satisfies the weaker oscillating property. |
| |
Keywords: | Periodic solution Time mapping Poincare-Birkhoff twist theorem |
本文献已被 CNKI 等数据库收录! |