Refinement Asymptotic Formulas of Eigenvalues and Eigenfunctions of a Fourth Order Linear Differential Operator with Transmission Condition and Discontinuous Weight Function

Refinement Asymptotic Formulas of Eigenvalues and Eigenfunctions of a Fourth Order Linear Differential Operator with Transmission Condition and Discontinuous Weight Function

In this paper, we promote the refinement method for estimating asymptotic expression of the fundamental solutions of a fourth order linear differential equation with discontinuous weight function and transmission conditions. These refinement solutions utilize more accurate asymptotic formulas for th...

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Veröffentlicht in:Symmetry (Basel) 2019-08, Vol.11 (8), p.1060
Hauptverfasser: Qadir, Rando Rasul, Jwamer, Karwan Hama Faraj
Format: Artikel
Sprache:eng
Schlagworte:
Asymptotic methods
Asymptotic properties
Boundary conditions
dense set
Differential equations
differential operator
Eigenvalues
Eigenvectors
fundamental solution
Hilbert space
Krein space
Operators (mathematics)
spectral parameter
transmission condition
Weighting functions
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Zusammenfassung:In this paper, we promote the refinement method for estimating asymptotic expression of the fundamental solutions of a fourth order linear differential equation with discontinuous weight function and transmission conditions. These refinement solutions utilize more accurate asymptotic formulas for the eigenvalues and eigenfunctions for the problem.
ISSN:2073-8994
2073-8994
DOI:10.3390/sym11081060