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The differential-symbol method of solving the two-point problem with respect to time for a partial differential equation. (English. Ukrainian original) Zbl 1373.35025

J. Math. Sci., New York 224, No. 4, 541-554 (2017); translation from Ukr. Mat. Visn. 13, No. 4, 514-531 (2016).
Summary: In the classes of entire functions, we investigate the solvability of the two-point problem with respect to time for a partial differential equation of the second order in time and of generally infinite order in spatial variables. We propose a differential-symbol method for the construction of solutions of such problem.

MSC:

35B08 Entire solutions to PDEs
35R50 PDEs of infinite order
35L10 Second-order hyperbolic equations
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References:

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