Asymptotic Behaviour of Eigenvalues and Eigenfunctions of a Sturm-Liouville Problem with Retarded Argument
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Dosyalar
Tarih
2013
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
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