Article ID Journal Published Year Pages File Type
1707799 Applied Mathematics Letters 2015 8 Pages PDF
Abstract

For any even positive integer 2n2n and any positive integer mm we construct a class of regular self-adjoint and non-self-adjoint boundary value problems whose spectrum consists of at most (2n−1)m+1(2n−1)m+1 eigenvalues. Our main result reduces to previously known results for the cases n=1n=1 and n=2n=2. In the self-adjoint case with separated boundary conditions this upper bound can be improved to n(m+1)n(m+1).

Related Topics
Physical Sciences and Engineering Engineering Computational Mechanics
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