The Eigenvalues of Three-Interval Sturm-Liouville Problems with Additional Impulsive Conditions
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DOI:
https://doi.org/10.59287/ijanser.1599Keywords:
Sturm-Liouville Problems, Impulsive Conditions, Eigenvalue, Eigenfunction.Abstract
The main goal of this work is to study some properties of eigenvalues and corresponding eigenfunctions of a new type boundary value problems consisting of three-interval Sturm-Liouville equation The main goal of this work is to study some properties of eigenvalues and corresponding eigenfunctions of a new type boundary value problems consisting of three-interval Sturm-Liouville equation and additional impulsive conditions at the common endpoints.
The problem under consideration is reduced to classical periodic Sturm-Liouville problems, so the results obtained in this paper extend and generalize the corresponding classicals results. Note that the problem under consideration is not selfadjoint in the classical Hilbert space of square integrable functions. By using a new approaches we obtained some important properties of eigenvalues and eigenfunctions.
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