Analytic solution of certain second-order functional differential equation

Theeradach Kaewong and Piyapong Niamsup

International Journal of Mathematics and Mathematical Sciences, 2006, vol. 2006, 1-16

Abstract:

We consider the existence of analytic solutions of a certain class of iterative second-order functional differential equation of the form x ″ ( x [ r ] ( z ) ) = c 0 z 2 + c 1 ( x ( z ) ) 2 + ( c 2 x [ 2 ] ( z ) ) 2 + ⋯ + c m ( x [ m ] ( z ) ) 2 , m , r ≥ 0 .

Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:053828

DOI: 10.1155/IJMMS/2006/53828

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