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Global Classical Solutions of Some Two-Dimensional Hyperbolic Differential-Difference Equations

Global Classical Solutions of Some Two-Dimensional Hyperbolic Differential-Difference Equations For a two-dimensional hyperbolic equation with a differential-difference operator actingwith respect to the spatial variable, we construct a one-parameter family of global solutions. Weprove that these solutions are classical for all values of the real parameter provided that the realpart of the symbol of the difference operator occurring in the equation is positive. We presenta class of equations for which this condition is satisfied. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Differential Equations Springer Journals

Global Classical Solutions of Some Two-Dimensional Hyperbolic Differential-Difference Equations

Differential Equations , Volume 56 (6) – Jun 5, 2020

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References (11)

Publisher
Springer Journals
Copyright
Copyright © Pleiades Publishing, Ltd. 2020
ISSN
0012-2661
eISSN
1608-3083
DOI
10.1134/S0012266120060063
Publisher site
See Article on Publisher Site

Abstract

For a two-dimensional hyperbolic equation with a differential-difference operator actingwith respect to the spatial variable, we construct a one-parameter family of global solutions. Weprove that these solutions are classical for all values of the real parameter provided that the realpart of the symbol of the difference operator occurring in the equation is positive. We presenta class of equations for which this condition is satisfied.

Journal

Differential EquationsSpringer Journals

Published: Jun 5, 2020

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