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

An expansion result for a Sturm-Liouvill Problem

Makale detayları

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

Yazarlar:

An expansion result for a Sturm-Liouvill Problem

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2010 Vol.34 Issue 3, pp.355-366

Belge Tipi:

Makale

Yayın Tarihi:

2/2010

Belge Dili:

Türkçe

Document ID (Org No.):

2000748086

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Anahtar kelimeler:

Green's function; Completely continuous operator; Impulse conditions; Eigenvalue; Eigenvector.

Özet:

 

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.

 

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.

Makale detayları

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

Yazarlar: An expansion result for a Sturm-Liouvill Problem

Yayıncı: TUBITAK

Dergi: Turkish Journal of Mathematics 2010 Vol.34 Issue 3, pp.355-366

Belge Tipi: Makale

Yayın Tarihi: 2/2010

Belge Dili: Türkçe

Document ID (Org No.): 2000748086

Sıklık: İki Aylık

eISSN: 1303-6149

pISSN: 1300-0098

Green's function; Completely continuous operator; Impulse conditions; Eigenvalue; Eigenvector.

Sayı

Yazarlar:

An expansion result for a Sturm-Liouvill Problem

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2010 Vol.34 Issue 3, pp.355-366

Belge Tipi:

Makale

Yayın Tarihi:

2/2010

Belge Dili:

Türkçe

Document ID (Org No.):

2000748086

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098