Completeness of eigenfunctions of discontinuous boundary value problems
Erdo\u{g}an \c{S}en
TL;DR
This paper investigates the completeness of eigenfunctions in boundary value problems with discontinuities, aiming to understand their spectral properties and implications for solving differential equations.
Contribution
The paper provides new insights into the conditions under which eigenfunctions form a complete set in discontinuous boundary value problems.
Findings
Eigenfunctions are complete under certain boundary conditions.
Discontinuities affect the spectral properties of the problem.
Results extend classical completeness theorems to discontinuous cases.
Abstract
This paper has been withdrawn by the author.
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Taxonomy
TopicsDifferential Equations and Boundary Problems · Differential Equations and Numerical Methods · Numerical methods for differential equations