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The authors give an asymptotic expansion of power \(\epsilon\) of eigenvalues and eigenfunctions for the Sturm-Liouville problem with rapidly oscillating coefficients of the form \(a(\epsilon^{-1}x)\).
Iosif'yan, G. A. +2 more
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Iosif'yan, G. A. +2 more
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ASYMPTOTIC FORMULAS FOR EIGENVALUES AND EIGENFUNCTIONS OF A NONSELFADJOINT STURM-LIOUVILLE OPERATOR
Further Progress in Analysis, 2009KHANLAR R. MAMEDOV, HAMZA MENKEN
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The Asymptotic Distribution of Eigenvalues and Eigenfunctions for Elliptic Boundary Value Problems
SIAM Review, 1967openaire +1 more source
Asymptotic behaviour of the eigenfunctions and eigenvalues of integral operators with δ-type kernels
USSR Computational Mathematics and Mathematical Physics, 1973openaire +2 more sources
Derivation of Asymptotic Formulas for Eigenvalues and Eigenfunctions Using the Ray Method
1972Vasili M. Babič, Vladimir S. Buldyrev
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