Computation of eigenvalues and eigenfunctions of a Schrödinger‐type boundary‐value‐transmission problem with retarded argument | Zendy

Şen Erdoğan | Zendy

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Computation of eigenvalues and eigenfunctions of a Schrödinger‐type boundary‐value‐transmission problem with retarded argument

Author(s) -

Şen Erdoğan

Publication year - 2018

Publication title -

mathematical methods in the applied sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.719

H-Index - 65

eISSN - 1099-1476

pISSN - 0170-4214

DOI - 10.1002/mma.5178

Subject(s) - eigenfunction , mathematics , eigenvalues and eigenvectors , boundary value problem , argument (complex analysis) , computation , mathematical analysis , quadratic equation , order (exchange) , type (biology) , differential equation , pure mathematics , geometry , physics , quantum mechanics , ecology , biochemistry , chemistry , finance , algorithm , economics , biology

The purpose of this study is to investigate a Schrödinger type of boundary‐value‐transmission problem with retarded argument. By modifying some techniques of [S.B. Norkin, Differential equations of the second order with retarded argument, Translations of Mathematical Monographs, Vol. 31, AMS, Providence, RI, 1972] and suggesting own approaches, we find asymptotic formulas for the eigenvalues and eigenfunctions of the second‐order differential equation with retarded argument, which includes the eigenparameter as a quadratic function.

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