Spectrums of Solvable Pantograph Differential-Operators for First OrderReport as inadecuate




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Abstract and Applied AnalysisVolume 2014 2014, Article ID 837565, 8 pages

Research Article

Department of Mathematics, Faculty of Arts and Sciences, Karadeniz Technical University, 61080 Trabzon, Turkey

Institute of Fundamental Sciences, Karadeniz Technical University, 61080 Trabzon, Turkey

Received 23 May 2014; Revised 17 July 2014; Accepted 25 July 2014; Published 14 August 2014

Academic Editor: Abdullah S. Erdoğan

Copyright © 2014 Z. I. Ismailov and P. Ipek. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

By using the methods of operator theory, all solvable extensionsof minimal operator generated by first order pantograph-type delay differential-operatorexpression in the Hilbert space of vector-functions on finite interval have been considered. As a result, the exact formula for the spectrums of these extensions is presented. Applications of obtained results to the concrete models are illustrated.





Author: Z. I. Ismailov and P. Ipek

Source: https://www.hindawi.com/



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