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On a problem with a shift and with the Frankl condition on a segment of the degeneration line for a class of equations of mixed type

On a problem with a shift and with the Frankl condition on a segment of the degeneration line for... We consider the Frankl-Nakhushev problem. By using the maximum principle, we prove the uniqueness of the solution of the problem in the class of Hölder functions, and by using the method of integral equations, in particular, the recently developed method of Wiener-Hopf equations, we prove its existence. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Differential Equations Springer Journals

On a problem with a shift and with the Frankl condition on a segment of the degeneration line for a class of equations of mixed type

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References (16)

Publisher
Springer Journals
Copyright
Copyright © 2012 by Pleiades Publishing, Ltd.
Subject
Mathematics; Partial Differential Equations; Difference and Functional Equations; Ordinary Differential Equations
ISSN
0012-2661
eISSN
1608-3083
DOI
10.1134/S001226611203007X
Publisher site
See Article on Publisher Site

Abstract

We consider the Frankl-Nakhushev problem. By using the maximum principle, we prove the uniqueness of the solution of the problem in the class of Hölder functions, and by using the method of integral equations, in particular, the recently developed method of Wiener-Hopf equations, we prove its existence.

Journal

Differential EquationsSpringer Journals

Published: May 6, 2012

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