The present work deals with a study of a nonlinear singular oscillator. To approximate the frequency–amplitude relationship of the singular oscillator, reproducing kernel method is employed. The approximate solution is compared with the exact solution as well as the results obtained by the He’s frequency–amplitude formulation, to show the effectiveness of the proposed technique for solving the problem.

中文翻译：

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非线性奇异振荡器的一种新方法

目前的工作涉及非线性奇异振荡器的研究。为了近似奇异振荡器的频率-振幅关系，采用了再生核方法。将近似解与精确解以及He的频率-幅度公式获得的结果进行比较，以表明所提出的技术解决该问题的有效性。