Analytic Solutions of a Second-Order Functional Differential Equation with a State Derivative Dependent Delay
Joint Authors
Somsuwan, Jiraphorn
Nakprasit, Keaitsuda Maneeruk
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-10-05
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
We investigate an analytic solution of the second-order differential equation with a state derivative dependent delay of the form x″(z)=x(p(z)+bx′(z)).
Considering a convergent power series g(z) of an auxiliary equation γ2g″(γz)g′(z)=[g(γ2z)-p(g(γz))]γg′(γz)(g′(z))2+p′′(g(z))(g′(z))3+γg′(γz)g″(z) with the relation p(z)+bx′(z)=g(γg-1(z)), we obtain an analytic solution x(z).
Furthermore, we characterize a polynomial solution when p(z) is a polynomial.
American Psychological Association (APA)
Somsuwan, Jiraphorn& Nakprasit, Keaitsuda Maneeruk. 2015. Analytic Solutions of a Second-Order Functional Differential Equation with a State Derivative Dependent Delay. International Journal of Mathematics and Mathematical Sciences،Vol. 2015, no. 2015, pp.1-8.
https://search.emarefa.net/detail/BIM-1066218
Modern Language Association (MLA)
Somsuwan, Jiraphorn& Nakprasit, Keaitsuda Maneeruk. Analytic Solutions of a Second-Order Functional Differential Equation with a State Derivative Dependent Delay. International Journal of Mathematics and Mathematical Sciences No. 2015 (2015), pp.1-8.
https://search.emarefa.net/detail/BIM-1066218
American Medical Association (AMA)
Somsuwan, Jiraphorn& Nakprasit, Keaitsuda Maneeruk. Analytic Solutions of a Second-Order Functional Differential Equation with a State Derivative Dependent Delay. International Journal of Mathematics and Mathematical Sciences. 2015. Vol. 2015, no. 2015, pp.1-8.
https://search.emarefa.net/detail/BIM-1066218
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1066218