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JOURNALS // Teoreticheskaya i Matematicheskaya Fizika // Archive

TMF, 2008 Volume 156, Number 2, Pages 220–225 (Mi tmf6242)

This article is cited in 4 papers

Problem of determining the nonstationary potential in a hyperbolic-type equation

D. K. Durdiev

Bukhara State University

Abstract: We solve the problem of determining the hyperbolic equation coefficient depending on two variables. Some additional information is given by the trace of the direct problem solution on the hyperplane $x=0$. We estimate the stability of the solution of the inverse problem under study and prove the uniqueness theorem.

Keywords: inverse problem, hyperbolic equation, stability, uniqueness.

Received: 02.07.2007

DOI: 10.4213/tmf6242


 English version:
Theoretical and Mathematical Physics, 2008, 156:2, 1154–1158

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© Steklov Math. Inst. of RAS, 2026