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.
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页码：345 / 352
页数：7
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