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Acta Mathematica Academiae Paedagogicae Nyíregyháziensis, Vol. 33, No. 1, pp. 39-44 (2017)
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On the solvability of non-homogeneous Sturm-Liouville problem

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Anton I. Popov

ITMO University

**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

**Full text of the article:**

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FIZ Karlsruhe / Zentralblatt MATH for the EMIS Electronic Edition
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