Abstract:
In this paper, we consider the Cauchy problem for the telegraph equation. The lower coefficient and the right-hand side of the equation oscillate in time with a high frequency, the amplitude of the lower coefficient is small, namely, is inversely proportional to the frequency, and the right-hand side is unknown. We examine the problem on the recovery of the right-hand side from the three-term asymptotics of the solution given at some point in space. For this purpose, we use a nonclassical algorithm for solving inverse coefficient problems with rapidly oscillating data.