Dissipative Sturm-Liouville Operators with Transmission Conditions-Reference-Cited by-同舟云学术

Dissipative Sturm-Liouville Operators with Transmission Conditions

Published:2013 Issue: Volume:2013 Page:1-7
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Tuna Hüseyin¹,Eryılmaz Aytekin²^ORCID

Affiliation:

1. Department of Mathematics, Mehmet Akif Ersoy University, 15100 Burdur, Turkey

2. Department of Mathematics, Nevsehir University, 50300 Nevsehir, Turkey

Abstract

In this paper we study dissipative Sturm-Liouville operators with transmission conditions. By using Pavlov’s method (Pavlov 1947, Pavlov 1981, Pavlov 1975, and Pavlov 1977), we proved a theorem on completeness of the system of eigenvectors and associated vectors of the dissipative Sturm-Liouville operators with transmission conditions.

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2013/248740.pdf

Reference30 articles.

1. Two-point boundary value problems with eigenvalue parameter contained in the boundary conditions

2. Singular eigenvalue problems with eigenvalue parameter contained in the boundary conditions

3. Some Spectral Properties of One Sturm-Liouville Type Problem with Discontinuous Weight

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