Almost periodic solutions for an asymmetric oscillation

  • 报告人: 柳彬教授
  • 报告人单位: 北京大学
  • 报告地址: 长江数学中心409
  • 报告时间: 10月23日(周1)上午9:00-12:00
  • 主题摘要:
In this paper we study the dynamical behaviorof the differential equation \ddot x + ax+ − bx− = f (t), where x+= max{x, 0}, x−= max{−x, 0}, a and b are two different positive constants, f(t)is a real analytic almost periodic function. For this purpose, firstly, we have to establish some variants of the invariant curve theorem of planar almost periodic mappings, which was proved recently by the authors. Then we will discuss the existence of almost periodic solutions and the boundedness of all solutions for the above asymmetric oscillation.