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摘要
In this paper, we study the existence of analytic solutions of a second-order differential equation alpha z + beta x ' (z) + gamma x '' (z) = x(az + bx '' (z)), in the complex field C, where alpha,beta,gamma,a,b are complex numbers. We discuss not only the constant lambda at resonance, i.e. at a root of the unity, but also those lambda near resonance (near a root of the unity) under the Brjuno condition.
- 出版日期2015-4
- 单位重庆师范大学
