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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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
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WoS Q
Q2
Scopus Q
Q2
Source
Volume
34
Issue
3
Start Page
355
End Page
366