Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

On the basis property of eigenfunctions of the Frankl problem with a nonlocal parity condition

On the basis property of eigenfunctions of the Frankl problem with a nonlocal parity condition The Frankl problem without the spectral parameter was considered by Bitsadze and Smirnov. The present paper gives the eigenvalues and eigenfunctions of the Frankl problem with the odd parity condition. We prove the completeness of eigenfunctions. The Frankl problem with a nonlocal parity condition for the Lavrent’ev-Bitsadze equation is studied. The eigenvalues and eigenfunctions are found, and the basis property of the eigenfunctions in the elliptic part of the domain in the space L 2 is proved. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Differential Equations Springer Journals

On the basis property of eigenfunctions of the Frankl problem with a nonlocal parity condition

Differential Equations , Volume 44 (6) – Sep 9, 2008

Loading next page...
 
/lp/springer-journals/on-the-basis-property-of-eigenfunctions-of-the-frankl-problem-with-a-Oh6x0IiTPE

References (3)

Publisher
Springer Journals
Copyright
Copyright © 2008 by MAIK Nauka
Subject
Mathematics; Difference and Functional Equations; Partial Differential Equations; Ordinary Differential Equations
ISSN
0012-2661
eISSN
1608-3083
DOI
10.1134/S0012266108060098
Publisher site
See Article on Publisher Site

Abstract

The Frankl problem without the spectral parameter was considered by Bitsadze and Smirnov. The present paper gives the eigenvalues and eigenfunctions of the Frankl problem with the odd parity condition. We prove the completeness of eigenfunctions. The Frankl problem with a nonlocal parity condition for the Lavrent’ev-Bitsadze equation is studied. The eigenvalues and eigenfunctions are found, and the basis property of the eigenfunctions in the elliptic part of the domain in the space L 2 is proved.

Journal

Differential EquationsSpringer Journals

Published: Sep 9, 2008

There are no references for this article.