Finite spectrum of 2nth order boundary value problems
نویسندگان
چکیده
For any even positive integer 2n and any positive integermwe construct a class of regular self-adjoint and non-self-adjoint boundary value problems whose spectrum consists of at most (2n − 1)m + 1 eigenvalues. Our main result reduces to previously known results for the cases n = 1 and n = 2. In the self-adjoint case with separated boundary conditions this upper bound can be improved to n(m + 1). © 2014 Elsevier Ltd. All rights reserved.
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ورودعنوان ژورنال:
- Appl. Math. Lett.
دوره 42 شماره
صفحات -
تاریخ انتشار 2015