Numerical Verification Method for Infinite Dimensional Eigenvalue Problems
Kaori Nagatou
Source: Japan J. Indust. Appl. Math. Volume 26, Number 2-3
(2009), 477-491.
Abstract
We consider an eigenvalue problem for differential operators, and show how guaranteed bounds for eigenvalues (together with eigenvectors) are obtained and how non-existence of eigenvalues in a concrete region can be assured. Some examples for several types of operators will be presented.
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Japan Journal of Industrial and Applied Mathematics
