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- Title
On basis properties of root functions of a boundary value problem containing a spectral parameter in the boundary conditions.
- Authors
Aliev, Z.
- Abstract
The article presents a study which explores on the spectral problem of boundary conditions based on the properties of root functions within a boundary value problem. It considers the basis properties of root functions as illustrated. Obtained were the necessary and sufficient conditions for subsystems of root functions of problem 1 and 3 as illustrated. Also studies where the eigenvalue problem for a second-order equation with more general boundary conditions. Moreover, a theorem is provided wherein operators domains, and eigenvalue have been defined in a unitary and symmetric function.
- Subjects
BOUNDARY value problems; EIGENFUNCTION expansions; EIGENVALUES; ROOT-mean-squares; MATHEMATICS theorems; NEWTON-Raphson method; BOUNDARY element methods; BOUNDARY layer equations; MATHEMATICAL symmetry; UNITARY operators
- Publication
Doklady Mathematics, 2013, Vol 87, Issue 2, p137
- ISSN
1064-5624
- Publication type
Article
- DOI
10.1134/S1064562413020014