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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.
Differential Equations – Springer Journals
Published: Jun 5, 2020
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