Analytic solutions of a second order iterative functional differential equation

作者：Zhang Pingping^*; Mi Lufang

来源：Applied Mathematics and Computation, 2009, 210(2): 277-283.

DOI：10.1016/j.amc.2008.12.007

• Iterative functional differential equation
• Analytic solution
• Complex field

This paper is concerned with an iterative functional differential equation
c(1)x(z) c(2)x'(z) c(3)x ''(z) = x(az bx'(z))
with the delay depends on the argument of the unknown function and the state derivative. By reducing the equation with the Schroder transformation to another functional differential equation without iteration of the unknown function, we give existence of its local analytic solutions which extend the known results in related literature.

• 出版日期2009-4-15
• 单位山东大学; 滨州学院