Dissipative Sturm-Liouville operators with a spectral parameter in the boundary condition on bounded time scales

Autor: Bilender P. Allahverdiev, Aytekin Eryilmaz, Huseyin Tuna
Jazyk: angličtina
Rok vydání: 2017
Předmět:
Zdroj: Electronic Journal of Differential Equations, Vol 2017, Iss 95,, Pp 1-13 (2017)
Druh dokumentu: article
ISSN: 1072-6691
Popis: In this article we consider a second-order Sturm-Liouville operator with a spectral parameter in the boundary condition on bounded time scales. We construct a selfadjoint dilation of the dissipative Sturm-Liouville operators. Using by methods of Pavlov [40,41,42], we prove the completeness of the system of eigenvectors and associated vectors of the dissipative Sturm-Liouville operators on bounded time scales.
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