IMPULSIVE STURM-LIOUVILLE PROBLEMS ON TIME SCALES

Bilender P Allahverdiev, HÜSEYİN TUNA

DOI Number
https://doi.org/10.22190/FUMI220217046A
First page
651
Last page
666

Abstract


In this paper, we consider an impulsive Sturm-Lioville problem on Sturmian time scales. We investigate the existence and uniqueness of the solution of this problem. We study some spectral properties and self-adjointness of the boundary-value problem. Later, we construct the Green function for this problem. Finally, an eigenfunction expansion is obtained.

Keywords

Impulsive Sturm–Liouville problems, maximal and minimal operators, Green’s function, self-adjoint operator, eigenfunction expansion

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References


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DOI: https://doi.org/10.22190/FUMI220217046A

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