The Asymptotic Laws of the Distribution of Eigenvalues for a System of Second Order Differential Equations having Turning Points at Both Ends of the Interval

DOI10.18311/JIMS/2023/26380OpenAlexW4361006073MaRDI QIDQ6053087

Debasish Sengupta

Publication date: 25 September 2023

Published in: The Journal of the Indian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.18311/jims/2023/26380

zbMATH Keywords

normalized eigenvectorasymptotic solutionsDirichlet boundary conditionsturning points

Mathematics Subject Classification ID

Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Asymptotic expansions of solutions to ordinary differential equations (34E05) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15) Boundary eigenvalue problems for ordinary differential equations (34B09)

Cites Work

• Asymptotic solutions of a system of differential equations with multiple turning point
• Asymptotic laws of distribution of the characteristic values for certain special forms of differential equations of the second order
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