Author:
Bondarenko Natalia P.,Yurko Vjacheslav A.
Abstract
<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>
Publisher
American Institute of Mathematical Sciences (AIMS)
Subject
Control and Optimization,Discrete Mathematics and Combinatorics,Modeling and Simulation,Analysis,Control and Optimization,Discrete Mathematics and Combinatorics,Modelling and Simulation,Analysis
Cited by
3 articles.
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