Dissipative Sturm-Liouville operators with a spectral parameter in the boundary condition on bounded time scales
Date
2017-04-05
Authors
Allahverdiev, Bilender P.
Eryilmaz, Aytekin
Tuna, Huseyin
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
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.
Description
Keywords
Time scale, Delta-differentiable, Dilation, Dissipative operator, System of eigenvectors
Citation
Allahverdiev, B. P., Eryilmaz, A., & Tuna, H. (2017). Dissipative Sturm-Liouville operators with a spectral parameter in the boundary condition on bounded time scales. <i>Electronic Journal of Differential Equations, 2017</i>(95), pp. 1-13.
Rights
Attribution 4.0 International