Abstract: Non-homogeneous Sturm-Liouville problems can arise when trying to solve non-homogeneous partial differential equations or when constructing the asymptotic series for partial differential equation solution. The present paper gives a condition of solvability for the non-homogeneous Sturm-Liouville problem in general case for formal power series.
Keywords: Sturm-Liouville problem, asymptotic expansion, power serie
Classification (MSC2000): 34B24; 34E05
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