Analytic solutions of a second-order iterative functional equation

摘要：

The second-order differential equation involving iterates of the unknown function (is investigated in the complex field C for the existence of analytic solutions. By reducing the equation with the Schroder transformation, to another functional differential equation without iteration of the unknown function, we give the existence of its local invertible analytic solutions. We discuss not only those a given in the Schrdder transformation in the hyperbolic case and resonance, but also a near resonance under Brjuno condition.

关键词： iteration iteration functional differential equation analytic solution resonance power series

作者: Jin Zhang

作者单位: School of Science,Shandong University of Technology,Zibo 255000,Shandong,China

会议类型: 国际会议

会议名称: The Third International Conference on Modelling and Simulation(第三届国际建模、计算、仿真、优化及其应用学术会议 ICMS 2010)

会议地点: 无锡

会议语种:英文

页码: 105-109

在线出版日期: 2010-06-04（万方平台首次上网日期，不代表论文的发表时间）