ANALYTIC SOLUTIONS OF A SECOND ORDER FUNCTIONAL DIFFERENTIAL EQUATION WITH A STATE DERIVATIVE DEPENDENT DELAY

2016 ◽  
Vol 99 (3) ◽  
pp. 335-357
Author(s):  
Jiraphorn Somsuwan ◽  
Keaitsuda Maneeruk Nakprasit
Keyword(s):  
Differential Equation ◽  
Functional Differential Equation ◽  
Analytic Solutions ◽  
Second Order ◽  
Functional Differential

scholarly journals Analytic solution of certain second-order functional differential equation

2006 ◽  
Vol 2006 ◽  
pp. 1-16
Author(s):  
Theeradach Kaewong ◽  
Piyapong Niamsup
Keyword(s):  
Differential Equation ◽  
Functional Differential Equation ◽  
Analytic Solution ◽  
Analytic Solutions ◽  
Second Order ◽  
Functional Differential

We consider the existence of analytic solutions of a certain class of iterative second-order functional differential equation of the formx″(x[r](z))=c0z2+c1(x(z))2+(c2x[2](z))2+⋯+cm(x[m](z))2,m,r≥0.

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