Spectrums of Solvable Pantograph Differential-Operators for First Order-Reference-Cited by-同舟云学术

Spectrums of Solvable Pantograph Differential-Operators for First Order

Published:2014 Issue: Volume:2014 Page:1-8
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Ismailov Z. I.¹,Ipek P.²

Affiliation:

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

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

Abstract

By using the methods of operator theory, all solvable extensions of minimal operator generated by first order pantograph-type delay differential-operator expression 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.

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2014/837565.pdf

Reference17 articles.

1. The functional-differential equation $y'\left( x \right) = ay\left( {\lambda x} \right) + by\left( x \right)$

2. On a Functional Differential Equation

3. On the generalized pantograph functional-differential equation

4. The dynamics of a current collection system for an electric locomotive

5. Analysis of a Model Representing Stage-Structured Population Growth with State-Dependent Time Delay

Cited by 5 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. On Some Class of Normal Differential Operators for First Order;Bilecik Şeyh Edebali Üniversitesi Fen Bilimleri Dergisi;2023-11-30

2. First Order Selfadjoint Differential Operators with Involution;Lobachevskii Journal of Mathematics;2021-03

3. On the Compactly Solvable Differential Operators for First Order;Lobachevskii Journal of Mathematics;2020-06

4. Delay differential operators and some solvable models in life sciences;Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics;2017

5. Solvability of first order functional differential operators;Journal of Mathematical Chemistry;2015-07-28