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Problem with shifts in interior characteristics for equations of mixed elliptic-hyperbolic type with a singular coefficient

Problem with shifts in interior characteristics for equations of mixed elliptic-hyperbolic type... We consider a problem with local shift conditions on a segment of the degeneration line and with shifts in interior characteristics of the equation. The uniqueness of the solution is proved with the use of the extremum principle. To prove the existence of a solution, we apply the theory of singular integral equations and Fredholm integral equations. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Differential Equations Springer Journals

Problem with shifts in interior characteristics for equations of mixed elliptic-hyperbolic type with a singular coefficient

Differential Equations , Volume 49 (8) – Nov 7, 2013

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References (19)

Publisher
Springer Journals
Copyright
Copyright © 2013 by Pleiades Publishing, Ltd.
Subject
Mathematics; Ordinary Differential Equations; Partial Differential Equations; Difference and Functional Equations
ISSN
0012-2661
eISSN
1608-3083
DOI
10.1134/S0012266113080077
Publisher site
See Article on Publisher Site

Abstract

We consider a problem with local shift conditions on a segment of the degeneration line and with shifts in interior characteristics of the equation. The uniqueness of the solution is proved with the use of the extremum principle. To prove the existence of a solution, we apply the theory of singular integral equations and Fredholm integral equations.

Journal

Differential EquationsSpringer Journals

Published: Nov 7, 2013

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