Tigran Harutyunyan, Avetik Pahlevanyan, Yuri Ashrafyan
Abstract
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We study the dependence of the zeros of eigenfunctions of Sturm-Liouville problem on the parameters that define the boundary conditions. As a corollary, we obtain Sturm oscillation theorem, which states that the $n$-th eigenfunction has $n$ zeros.
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We study the dependence of the zeros of eigenfunctions of Sturm-Liouville problem on the parameters that define the boundary conditions. As a corollary, we obtain Sturm oscillation theorem, which states that the $n$-th eigenfunction has $n$ zeros.
Key concepts: Eigenfunction, Sturm–Liouville theory, Corollary, Mathematics, Oscillation (cell signaling), Mathematical analysis, Boundary value problem, Boundary (topology)