DISCUSSION ON THE ANALYTIC SOLUTIONS OF THE SECOND-ORDER ITERATED DIFFERENTIAL EQUATION

- Journal title : Bulletin of the Korean Mathematical Society
- Volume 43, Issue 4, 2006, pp.791-804
- Publisher : The Korean Mathematical Society
- DOI : 10.4134/BKMS.2006.43.4.791

Title & Authors

DISCUSSION ON THE ANALYTIC SOLUTIONS OF THE SECOND-ORDER ITERATED DIFFERENTIAL EQUATION

Liu, HanZe; Li, WenRong;

Liu, HanZe; Li, WenRong;

Abstract

This paper is concerned with a second-order iterated differential equation of the form with the distinctive feature that the argument of the unknown function depends on the state. By constructing a convergent power series solution of an auxiliary equation, analytic solutions of the original equation are obtained.

Keywords

iterative functional differential equation;analytic solution;majorant series;

Language

English

Cited by

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