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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Vydané v:Mathematical methods in the applied sciences Ročník 41; číslo 16; s. 6604 - 6610
Hlavný autor: Şen, Erdoğan
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Freiburg Wiley Subscription Services, Inc 15.11.2018
Predmet:
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
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Popis
Shrnutí: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.
Bibliografia:ObjectType-Article-1
SourceType-Scholarly Journals-1
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content type line 14
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.5178