Asymptotic Behaviour of Eigenvalues and Eigenfunctions of a Sturm-Liouville Problem with Retarded Argument

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Tarih

2013

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Yayıncı

Hindawi Ltd

Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

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 delta = gamma = 1 and retarded argument Delta = 0 in the results obtained in this work coincide with corresponding results in the classical Sturm-Liouville operator.

Açıklama

Anahtar Kelimeler

Boundary-Value Problem, Differential-Equations, Eigenparameter, Parameter

Kaynak

Journal of Applied Mathematics

WoS Q Değeri

Q3

Scopus Q Değeri

Q3

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