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On the Expansion Formula for a Class of Sturm–Liouville Operators

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Abstract

In this article, we consider the scattering problem for the Sturm–Liouville operator on the positive half-line with boundary condition depending quadratically of spectral parameter.The scattering data is defined. The resolvent operator is constructed and the expansion formula is obtained.

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Correspondence to Khanlar R. Mamedov or Ilyas Hashimoglu.

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(Submitted by T. K. Yuldashev)

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Mamedov, K.R., Hashimoglu, I. On the Expansion Formula for a Class of Sturm–Liouville Operators. Lobachevskii J Math 42, 579–586 (2021). https://doi.org/10.1134/S1995080221030148

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  • DOI: https://doi.org/10.1134/S1995080221030148

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