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MATHEMATICAL MODELING AND NUMERICAL SIMULATION
On spectral properties of a nonselfadjoint difference operator
A. Yu. Mokin Lomonosov Moscow State University, The Faculty of Computational Mathematics and Cybernetics,1 Leninskie Gory, Moscow, 119991, Russia
Abstract:
The eigenvalue problem for a nonselfadjoint difference operator with nonconstant coefficient is considered. The main peculiarity of the problem is that its solution satisfies a two-point nonlocal boundary condition. Multiplicity of eigenvalues is discussed and a region where all eigenvalues reside is defined taking into account a very generic assumption about the nonconstant coefficient.
Keywords:
eigenvalue problem, nonselfadjoint difference operator.
Received: 28.03.2010
Citation:
A. Yu. Mokin, “On spectral properties of a nonselfadjoint difference operator”, Computer Research and Modeling, 2:2 (2010), 143–150
Linking options:
https://www.mathnet.ru/eng/crm588 https://www.mathnet.ru/eng/crm/v2/i2/p143
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