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2013 Asymptotic Behaviour of Eigenvalues and Eigenfunctions of a Sturm-Liouville Problem with Retarded Argument
Erdoğan Şen, Jong Jin Seo, Serkan Araci
J. Appl. Math. 2013: 1-8 (2013). DOI: 10.1155/2013/306917

Abstract

In the present paper, a discontinuous boundary-value problem with retarded argument at the two points of discontinuities is investigated. We obtained asymptotic formulas for the eigenvalues and eigenfunctions. This is the first work containing two discontinuities points in the theory of differential equations with retarded argument. In that special case the transmission coefficients δ=γ=1 and retarded argument Δ0 in the results obtained in this work coincide with corresponding results in the classical Sturm-Liouville operator.

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Erdoğan Şen. Jong Jin Seo. Serkan Araci. "Asymptotic Behaviour of Eigenvalues and Eigenfunctions of a Sturm-Liouville Problem with Retarded Argument." J. Appl. Math. 2013 1 - 8, 2013. https://doi.org/10.1155/2013/306917

Information

Published: 2013
First available in Project Euclid: 14 March 2014

zbMATH: 1266.34041
MathSciNet: MR3039753
Digital Object Identifier: 10.1155/2013/306917

Rights: Copyright © 2013 Hindawi

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