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Nonlocal problem for an equation of mixed type in a domain whose elliptic part is a half-strip

Nonlocal problem for an equation of mixed type in a domain whose elliptic part is a half-strip For the Gellerstedt equation, we study a problem with shift in a domain whose elliptic part is an infinite half-strip. By using generalized fractional differentiation operators, we specify a linear combination that relates the value of the solution on characteristics of the equation with the value of the solution and its derivative on the parabolic degeneration line. We prove the unique solvability of this problem. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Differential Equations Springer Journals

Nonlocal problem for an equation of mixed type in a domain whose elliptic part is a half-strip

Differential Equations , Volume 50 (6) – Jul 15, 2014

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References (27)

Publisher
Springer Journals
Copyright
Copyright © 2014 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/S0012266114060081
Publisher site
See Article on Publisher Site

Abstract

For the Gellerstedt equation, we study a problem with shift in a domain whose elliptic part is an infinite half-strip. By using generalized fractional differentiation operators, we specify a linear combination that relates the value of the solution on characteristics of the equation with the value of the solution and its derivative on the parabolic degeneration line. We prove the unique solvability of this problem.

Journal

Differential EquationsSpringer Journals

Published: Jul 15, 2014

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