The existence of eigenvalue problems for the waveguide theory

Boundary value problems

EM Karachevskii¹  A Maher² 

[1] Department of Applied Mathematics, Kazan State University, Kazan, Russia;Department of Mathematics, Faculty of Science, Assiut University, Assiut, Egypt

关键词: partial differential equations;    eigenvalue problems;    Fourier transformation method;   

DOI  :  10.1186/1687-2770-2012-133

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, the existence of the eigenvalue problem for the waveguide theory is investigated. We used the Fourier transformation method for the solution of this problem. Also, we applied this problem to a dielectric waveguide. In this study, four theorems and two lemmas are obtained. MSC: 35A22, 35P10.

【 授权许可】

CC BY