Asymptotic solution of one-dimensional spectral boundary-value problems with rapidly varying coefficients: The case of multiple spectra |
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Authors: | O Yu Teplinskii |
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Affiliation: | (1) Shevchenko National University, Kiev |
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Abstract: | We suggest a method for the construction of complete asymptotic expansions for eigenvalues and eigen-functions of spectral
boundary-value problems for differential equations with rapidly varying coefficients in the case of multiple spectra of the
averaged problem. The effect of splitting of multiple eigen-values is illustrated by an example of a special fourth-order
problem.
Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 50, No. 10, pp. 1399–1408, October, 1998. |
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Keywords: | |
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