The Multiplicity of Eigenvalues of A Vectorial Singular Diffusion Equation with Discontinuous Conditions

Abdullah ERGÜN

Makale detayları

The Multiplicity of Eigenvalues of A Vectorial Singular Diffusion Equation with Discontinuous Conditions

Yazarlar:

Abdullah ERGÜN

Yayıncı:

Ağrı İbrahim Çeçen University

Dergi:

Eastern Anatolian Journal of Science 2020 Vol.6 Issue 2, pp.22-34

Belge Tipi:

Makale

Yayın Tarihi:

12/2020

Belge Dili:

İngilizce

Document ID (Org No.):

2000949726

Sıklık:

İki Yıllık

pISSN:

2149-6137

Özet:

 

In this paper, we are studied m-dimensional vectorial diffusion equation with jump conditions inside a finite interval. We obtain some conclusions about multiplicity of the eigenvalues based on the estimation of solutions. Asymptotic formules of eigenfunctions in each interval are obtained. Also, properties related to the characteristic function of the problem are given and proven. We prove that, under certain conditions on potential matrix, the problem can only have a finite number of eigenvalues with multiplicity m.

Makale detayları

The Multiplicity of Eigenvalues of A Vectorial Singular Diffusion Equation with Discontinuous Conditions

Yazarlar: Abdullah ERGÜN

Yayıncı: Ağrı İbrahim Çeçen University

Dergi: Eastern Anatolian Journal of Science 2020 Vol.6 Issue 2, pp.22-34

Belge Tipi: Makale

Yayın Tarihi: 12/2020

Belge Dili: İngilizce

Document ID (Org No.): 2000949726

Sıklık: İki Yıllık

pISSN: 2149-6137

Sayı

Yazarlar:

Abdullah ERGÜN

Yayıncı:

Ağrı İbrahim Çeçen University

Dergi:

Eastern Anatolian Journal of Science 2020 Vol.6 Issue 2, pp.22-34

Belge Tipi:

Makale

Yayın Tarihi:

12/2020

Belge Dili:

İngilizce

Document ID (Org No.):

2000949726

Sıklık:

İki Yıllık

pISSN:

2149-6137