A new approach to the inverse discrete transmission eigenvalue problem
Keyword(s):
<p style='text-indent:20px;'>A discrete analog is considered for the inverse transmission eigenvalue problem, having applications in acoustics. We provide a well-posed inverse problem statement, develop a constructive procedure for solving this problem, prove uniqueness of solution, global solvability, local solvability, and stability. Our approach is based on the reduction of the discrete transmission eigenvalue problem to a linear system with polynomials of the spectral parameter in the boundary condition.</p>
2015 ◽
Vol 59
(6)
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pp. 1081-1094
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2010 ◽
Vol 3
(1/2)
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pp. 142
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2017 ◽
Vol 35
(6)
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pp. 828-838
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2020 ◽
Vol 360
◽
pp. 112697
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