Inverse problem for semilinear Eidelman type equation

N.P. Protsakh; O. E.  Parasiuk-Zasun

doi:10.30970/ms.53.1.48-58

N.P. Protsakh Ukrainian National Forestry University, Lviv, Ukraine
O. E. Parasiuk-Zasun Diablo Valley College San Ramon Campus, San Ramon, USA Chabot College Hesperian Blvd Hayward, USA

DOI: https://doi.org/10.30970/ms.53.1.48-58

Keywords: inverse problem; Eidelman type equation; boundary-value problem; unique solvability

Abstract

The inverse problem for semilinear Eidelman type equation with unknown time dependent function in its right-hand side is considered in this paper. The initial, boundary and integral type overdetermination conditions are posed. The sufficient conditions of the existence and the uniqueness of weak solution for the problem are obtained.

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