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

  • Liu, HanZe (DEPARTMENT OF MATHEMATICS, BINZHOU UNIVERSITY) ;
  • Li, WenRong (DEPARTMENT OF MATHEMATICS, BINZHOU UNIVERSITY)
  • Published : 2006.11.30

Abstract

This paper is concerned with a second-order iterated differential equation of the form $c_0x'(Z)+c_1x'(z)+c_2x(z)=x(az+bx(z))+h(z)$ 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.

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