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Analytic solutions of an iterative functional differential equation |
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| Authors: | Jianguo Si Weinian Zhang Gwang-Hui Kim |
| Affiliation: | a Department of Mathematics, Sichuan University, Chengdu 610064, People’s Republic of China b Department of Mathematics, Kangnam University, Suwn, 449-702, South Korea |
| Abstract: | This paper is concerned with a functional differential equation x′(z)=1/x(az+bx(z)), where a, b are two complex numbers. By constructing a convergent power series solution y(z) of a auxiliary equation of the form b2y′(z)=(y(μ2z)−ay(μz))(μy′(μz)−ay′(z)), analytic solutions of the form for the original differential equation are obtained. |
| Keywords: | Author Keywords: Functional differential equation Analytic solution |
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