Analytic Solutions of an Iterative Functional Differential Equation near Resonance
Joint Authors
Source
International Journal of Differential Equations
Issue
Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2009-06-15
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
We investigate the existence of analytic solutions of a class of second-order differential equations involving iterates of the unknown function x′′(z)+cx′(z)=x(az+bx(z)) in the complex field ℂ.
By reducing the equation with the Schröder transformation to the another functional differential equation without iteration of the unknown function λ2g′′(λz)g′(z)−λg′(λz)g′′(z) + c(g′(z))2(λg′(λz)−ag′(z)) = (g′(z))3(g(λ2z)−ag(λz)), we get its local invertible analytic solutions.
American Psychological Association (APA)
Liu, Tongbo& Li, Hong. 2009. Analytic Solutions of an Iterative Functional Differential Equation near Resonance. International Journal of Differential Equations،Vol. 2009, no. 2009, pp.1-14.
https://search.emarefa.net/detail/BIM-449288
Modern Language Association (MLA)
Liu, Tongbo& Li, Hong. Analytic Solutions of an Iterative Functional Differential Equation near Resonance. International Journal of Differential Equations No. 2009 (2009), pp.1-14.
https://search.emarefa.net/detail/BIM-449288
American Medical Association (AMA)
Liu, Tongbo& Li, Hong. Analytic Solutions of an Iterative Functional Differential Equation near Resonance. International Journal of Differential Equations. 2009. Vol. 2009, no. 2009, pp.1-14.
https://search.emarefa.net/detail/BIM-449288
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-449288