On eigenvalues of some boundary value problems for a polynomial pencil of Sturm–Liouville equation

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摘要

The boundary value problems for polynomial pencil of Sturm–Liouville operators are investigated. Using the properties of the transformation operators for such operators, the asymptotic formulas for eigenvalues of corresponding problems are obtained.

论文关键词:Sturm–Liouvillc equation,Boundary value problems,Transformation operators,Spectral theory of differential operators,Asymptotic formulas,Fractional derivatives,Eigenvalues,Eigenfunctions,Theory of complex functions,Polynomial pencils

论文评审过程:Available online 22 October 2004.

论文官网地址:https://doi.org/10.1016/j.amc.2004.04.116