Spectral properties of an impulsive Sturm–Liouville operator

This work is devoted to discuss some spectral properties and the scattering function of the impulsive operator generated by the Sturm–Liouville equation. We present a different method to investigate the spectral singularities and eigenvalues of the mentioned operator. We also obtain the finiteness o...

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Detalles Bibliográficos
Autores principales: Bairamov, Elgiz, Erdal, Ibrahim, Yardimci, Seyhmus
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6063334/
https://www.ncbi.nlm.nih.gov/pubmed/30137919
http://dx.doi.org/10.1186/s13660-018-1781-0
Descripción
Sumario:This work is devoted to discuss some spectral properties and the scattering function of the impulsive operator generated by the Sturm–Liouville equation. We present a different method to investigate the spectral singularities and eigenvalues of the mentioned operator. We also obtain the finiteness of eigenvalues and spectral singularities with finite multiplicities under some certain conditions. Finally, we illustrate our results by a detailed example.

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