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

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, Provid...

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Veröffentlicht in:Mathematical methods in the applied sciences Jg. 41; H. 16; S. 6604 - 6610
1. Verfasser: Şen, Erdoğan
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Freiburg Wiley Subscription Services, Inc 15.11.2018
Schlagworte:
asymptotics of eigenvalues and eigenfunctions
Boundary value problems
differential equation with retarded argument
Differential equations
Eigenvalues
Eigenvectors
Quadratic equations
Translations
transmission conditions
ISSN:0170-4214, 1099-1476
Online-Zugang:Volltext
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Zusammenfassung: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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content type line 14
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.5178