A Continuation Approach to the Periodic Boundary Value Problem for a Class of Nonlinear Coupled Oscillators with Potential Depending on Time

作者：Wang, Chao^*

来源：Advanced Nonlinear Studies, 2016, 16(2): 185-196.

DOI：10.1515/ans-2015-5004

• Nonlinear Oscillators
• Bounded-Coupling
• Semi-Linear
• Periodic Solutions
• Continuation Method

In this paper, we prove a new continuation theorem for the solvability of periodic boundary value problems for nonlinear vector equations. By applying the continuation theorem, we prove the existence of a periodic solution for a class of semi-linear weekly-coupled systems with time-dependent potential.

• 出版日期2016-5
• 单位盐城师范学院