Transformation operators and asymptotic formulas for the eigenvalues of a polynomial pencil of Sturm--Liouville operators

zbMath0962.34063MaRDI QIDQ1594591

R. Smith

Publication date: 4 February 2001

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/120978

zbMATH Keywords

Sturm-Liouville operatorsasymptotics of eigenvaluestransformation operatorpolynomial pencilasymptotics of linear independent solutions

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (3)

Asymptotic behavior of the solutions and nodal points of Sturm-Liouville differential expressions ⋮ On eigenvalues of some boundary value problems for a polynomial pencil of Sturm--Liouville equation ⋮ Unnamed Item

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