Analytic Solutions of a Second-order Functional Differential Equation with a State Dependent Delay

被引：0

作者：

Si J.-G. ^{[1
]}

Wang X.-P. ^{[1
]}

机构：

[1] Department of Mathematics, Binzhou Normal College, Binzhou, Shandong

来源：

Results in Mathematics | 2001年 / 39卷 / 3-4期

关键词：

34K25; Analytic solution; Functional differential equation;

D O I：

10.1007/BF03322694

中图分类号：

学科分类号：

摘要：

This paper is concerned with a second-order functional differential equation of the form x″(z) = x(az + bx(z)). By constructing a convergent power series solution of an auxiliary equation of the form α2y″ (αz) y′ (z) = αy′(z)y″(z)+(y′(z))3[y(α2z)−ay(αz)], analytic solutions of the form (y(αyt - 1(z)) − az)/b for the original differential equation are obtained. © 2001, Birkhäuser Verlag, Basel.

引用

页码：345 / 352

页数：7

共 8 条

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