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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.