An expansion result for a Sturm-Liouville eigenvalue problem with impulse

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Date

2010

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Publisher

Tubitak Scientific & Technological Research Council Turkey

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Mathematics
(2000)
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Abstract

The paper is concerned with an eigenvalue problem for second order differential equations with impulse. Such a problem arises when the method of separation of variables applies to the heat conduction equation for two-layered composite. The existence of a countably infinite set of eigenvalues and eigenfunctions is proved and a uniformly convergent expansion formula in the eigenfunctions is established.

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Keywords

Green's function, Completely continuous operator, Impulse conditions, Eigenvalue, Eigenvector

Turkish CoHE Thesis Center URL

Citation

17

WoS Q

Q2

Scopus Q

Q2

Source

Volume

34

Issue

3

Start Page

355

End Page

366

URI

https://doi.org/10.3906/mat-0809-34
 https://hdl.handle.net/20.500.14411/1518

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