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

Keywords: inverse problem, ultraparabolic equation, boundary-value problem, unique solvability
Published online: 2020-11-29


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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How to Cite
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.