# Asymptotic Behavior of Solutions of Inverse Problems for Degenerate Parabolic Equations

Partial Differential Equations

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## Abstract

We obtain theorems on the proximity as *t* → +∞ between the solution of the inverse problem for a second-order degenerate parabolic equation with one spatial variable and the solution of the inverse problem for a second-order degenerate ordinary differential equation under an additional integral observation condition. The conditions imposed on the input data admit oscillations of the functions on the right-hand side in the parabolic equation under study.

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