Unexpected Solutions of the Nehari Problem
Joint Authors
Sadyrbaev, Felix
Gritsans, Armands
Source
International Journal of Analysis
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-5, 5 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-04-10
Country of Publication
Egypt
No. of Pages
5
Main Subjects
Abstract EN
The Nehari characteristic numbers λn(a,b) are the minimal values of an integral functional associated with a boundary value problem (BVP) for nonlinear ordinary differential equation.
In case of multiple solutions of the BVP, the problem of identifying of minimizers arises.
It was observed earlier that for nonoscillatory (positive) solutions of BVP those with asymmetric shape can provide the minimal value to a functional.
At the same time, an even solution with regular shape is not a minimizer.
We show by constructing the example that the same phenomenon can be observed in the Nehari problem for the fifth characteristic number λn(a,b) which is associated with oscillatory solutions of BVP (namely, with those having exactly four zeros in (a,b)).
American Psychological Association (APA)
Gritsans, Armands& Sadyrbaev, Felix. 2014. Unexpected Solutions of the Nehari Problem. International Journal of Analysis،Vol. 2014, no. 2014, pp.1-5.
https://search.emarefa.net/detail/BIM-473845
Modern Language Association (MLA)
Gritsans, Armands& Sadyrbaev, Felix. Unexpected Solutions of the Nehari Problem. International Journal of Analysis No. 2014 (2014), pp.1-5.
https://search.emarefa.net/detail/BIM-473845
American Medical Association (AMA)
Gritsans, Armands& Sadyrbaev, Felix. Unexpected Solutions of the Nehari Problem. International Journal of Analysis. 2014. Vol. 2014, no. 2014, pp.1-5.
https://search.emarefa.net/detail/BIM-473845
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-473845