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THE PROBLEM OF DETERMINING THE SPE ED OF SOUND AND MEMORY OF ANISOTROPIC MEDIUM
  • Askar Rahmonov,
  • Umidjon Durdiev,
  • Zavqiddin Bozorov
Askar Rahmonov
Bukhara State University, Bukhara Branch of the Institute of Mathematics at the Academy of Sciences of the Republic of Uzbekistan, Bukhara, Uzbekistan

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Umidjon Durdiev
Bukhara State University
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Zavqiddin Bozorov
Bukhara Branch of the Institute of Mathematics at the Academy of Sciences of the Republic of Uzbekistan, Bukhara, Uzbekistan
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Abstract

We consider the problems of simultaneously identifying two unknowns. The wave propagation velocity and the memory of the layered medium will be determined. For their determination, two observations are used for how the boundary of the domain fluctuates. Main results are stability estimates and uniqueness theorems for the problems under consideration.