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

Erdoğan Şen | Zendy; Jong Jin Seo | Zendy; Serkan Aracı | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

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

Author(s) -

Erdoğan Şen,

Jong Jin Seo,

Serkan Aracı

Publication year - 2013

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2013/306917

Subject(s) - eigenfunction , sturm–liouville theory , eigenvalues and eigenvectors , mathematics , classification of discontinuities , argument (complex analysis) , boundary value problem , mathematical analysis , operator (biology) , differential operator , work (physics) , ordinary differential equation , differential equation , physics , biochemistry , chemistry , repressor , quantum mechanics , transcription factor , gene , thermodynamics

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 and retarded argument in the results obtained in this work coincide with corresponding results in the classical Sturm-Liouville operator

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research