The existence of eigenvalue problems for the waveguide theory
1 Department of Mathematics, Faculty of Science, Assiut University, Assiut, 71516, Egypt
2 Department of Applied Mathematics, Kazan State University, 18 Kremlyovskaya st., Kazan, 420008, Russia
Boundary Value Problems 2012, 2012:133 doi:10.1186/1687-2770-2012-133Published: 13 November 2012
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.