Determining of unknown functions of different arguments in minor coefficient and right-hand side of semilinear ultraparabolic equation

N.P. Protsakh; V.M. Flyud

doi:10.15330/cmp.12.2.317-332

Determining of unknown functions of different arguments in minor coefficient and right-hand side of semilinear ultraparabolic equation

N.P. Protsakh Ukrainian National Forestry University, 103 Chuprynky str., 79057, Lviv, Ukraine
V.M. Flyud Ivan Franko Lviv National University, 1 Universytetska str., 79000, Lviv, Ukraine; Opole University of Technology, 76 Prószkowska str., 45-758, Opole, Poland https://orcid.org/0000-0003-2292-6472

https://doi.org/10.15330/cmp.12.2.317-332

Keywords: inverse problem, ultraparabolic equation, boundary-value problem, unique solvability

Published online: 2020-11-29

Abstract

In this paper, we consider the inverse problem for semilinear ultraparabolic equation. The equation has two unknown functions of different arguments in its minor coefficient and in right-hand side function. The sufficient conditions of the existence and the uniqueness of solution on some interval $[0,T],$ where $T$ depends on the coefficients of the equation, are obtained.

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Protsakh N., Flyud V. Determining of Unknown Functions of Different Arguments in Minor Coefficient and Right-Hand Side of Semilinear Ultraparabolic Equation. Carpathian Math. Publ. 2020, 12 (2), 317-332.

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