References
A. N. Tikhonov and A. A. Samarskii,Equations of Mathematical Physics [in Russian], Nauka, Moscow (1972).
S. P. Timoshenko,Strength and Vibrations of Structural Members. Collection of Papers (É. I. Grigolyuk, editor) [in Russian], Nauka, Moscow (1975).
P. Lancaster, A. Shkalikov and Ye. Qiang, “Strongly definitizable linear pencils in Hilbert space,”Integral Equation Operator Th.,17 (1993).
Yu. Sh. Abramov,Variational Methods in the Theory of Operator Pencils. Spectral Optimization [in Russian], Izd. Leningrad Univ., Leningrad (1983).
T. Ya. Azizov and I. S. Iokhvidov,Foundations of the Theory of Linear Operators in Spaces with Indefinite Metric [in Russian], Nauka, Moscow (1986).
M. I. Vishik and L. A. Lyusternik, “Regular degeneration and the boundary layer for linear differential equations with a small parameter,”Uspekhi Mat. Nauk [Russian Math. Surveys],12, No. 5, 3–122 (1957).
Author information
Authors and Affiliations
Additional information
Translated fromMatematicheskie Zametki, Vol. 60, No. 4, pp. 609–611, October, 1996.
I am grateful to Prof. Shkalikov for suggesting the problem and for his attention to this work.
Rights and permissions
About this article
Cite this article
Zhamel, B.A. Asymptotics of eigenvalues and eigenfunctions of the Sturm-Liouville problem with a small parameter and the spectral parameter in the boundary condition. Math Notes 60, 456–458 (1996). https://doi.org/10.1007/BF02305431
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02305431