Abstract
This paper is concerned with a second-order iterative functional differential equation x″( x [ r] ( z))= c 0 z+ c 1 x( z)+⋯+ c m x [ m] ( z), where r and m are nonnegative integers, x [0](z)=z, x [1](z)=x(z), x [2](z)=x(x(z)) , etc., are the iterates of the function x( z). By constructing a convergent power series solution y( z) of a companion equation of form α 2y″(α r+1z)y′(α rz)=αy′(α r+1z)y″(α rz)+[y′(α rz)] 3 ∑ i=0 m c iy(α iz) , analytic solutions of the form y( αy −1( z)) for the original differential equation are obtained.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
