Calculation of eigenvalues and eigenfunctions of a discontinuous boundary value problem with retarded argument which contains a spectral parameter in the boundary condition

In this work, a discontinuous boundary-value problem with retarded argument which contains a spectral parameter in the boundary condition and with transmission conditions at the point of discontinuity is investigated. We obtained asymptotic formulas for the eigenvalues and eigenfunctions.

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Veröffentlicht in:Mathematical and computer modelling Jg. 54; H. 11; S. 3090 - 3097
Hauptverfasser: Şen, Erdoğan, Bayramov, Azad
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Kidlington Elsevier Ltd 01.12.2011
Elsevier
Schlagworte:
Asymptotics of eigenvalues and eigenfunctions
computer techniques
decision making
Differential equation with retarded argument
Exact sciences and technology
Mathematical analysis
mathematical models
Mathematics
Methods of scientific computing (including symbolic computation, algebraic computation)
Numerical analysis
Numerical analysis. Scientific computation
Numerical linear algebra
Ordinary differential equations
Partial differential equations, boundary value problems
Sciences and techniques of general use
Transmission conditions
Transmission conditions
Asymptotics of eigenvalues and eigenfunctions
Differential equation with retarded argument
Transcendental equation
argument
Differential equation with retarded
Differential equation
Eigenvector
Numerical linear algebra
Eigenfunction
Eigenvalue
Boundary condition
Partial differential equation
Non linear equation
eigenfunctions
Numerical analysis
Boundary value problem
Applied mathematics
Algebraic equation
Eigenvalues and eigenfunctions
Mathematical model
Asymptotics of eigenvalues and
Computer aided analysis
ISSN:0895-7177, 1872-9479
Online-Zugang:Volltext
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Beschreibung
Zusammenfassung:In this work, a discontinuous boundary-value problem with retarded argument which contains a spectral parameter in the boundary condition and with transmission conditions at the point of discontinuity is investigated. We obtained asymptotic formulas for the eigenvalues and eigenfunctions.
Bibliographie:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:0895-7177
1872-9479
DOI:10.1016/j.mcm.2011.07.039