The differential-symbol method of solving the problem two-point in time for a nonhomogeneous partial differential equation


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Abstract

The solvability of the problem for a nonhomogeneous partial differential equation of the second order in time and, generally, of the infinite order in the spatial variables with local conditions two-point in time in the classes of entire functions is studied. In the case of unique solvability of the problem, a differential-symbol method of construction of its unique solution is proposed. In the case of nonunique solvability of the problem, we construct a partial solution.

About the authors

Zinovii Mykolaiovych Nytrebych

Lviv National University “L’vivs’ka Politekhnika,”

Author for correspondence.
Email: znytrebych@gmail.com
Ukraine, Lviv

Oksana Mykhailivna Malanchuk

D. Halyts’kyi Lviv National Medical University

Email: znytrebych@gmail.com
Ukraine, Lviv


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