Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
483592 | Journal of the Egyptian Mathematical Society | 2013 | 7 Pages |
Abstract
The unbounded solution, at the points where the boundary conditions change, for a mixed Sturm–Liouville problem of the Dirichlet–Neumann type can be obtained using the method of the integral equation formulation. Since this formulation is usually reduced to an infinite algebraic system in which the unknowns are the Fourier coefficients of the unknown unbounded entity, a study of ℓp-solutions imposes itself concerning the influence of the truncation on such systems. This study is achieved and the well-known theorem on the ℓ2-solutions of the infinite algebraic systems is generalized.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
M.G. Elsheikh, V.N. Gavdzinski, T.G. Emam,