Local analytic solution of a second-order functional differential equation with a state derivative dependent delay

2008 ◽  
Vol 197 (1) ◽  
pp. 158-166 ◽  
Author(s):  
Tongbo Liu ◽  
Hong Li
Author(s):  
Theeradach Kaewong ◽  
Piyapong Niamsup

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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