Abbasi N, Moiseev E I.
On the Basis Property of an Trigonometric Functions System of The
Frankl Problem With a Non-Local Parity Condition of the First Kind in the Sobolev Space `overline(W)_p^(2l) (0,pi)`
. MACO 2020; 1 (1) :41-48
URL:
http://maco.lu.ac.ir/article-1-43-en.html
Abstract: (2181 Views)
In the present paper, we write out the eigenvalues and the corresponding eigenfunctions of the modified Frankl problem with a nonlocal parity condition of the first kind. We analyze the completeness, the basis property, and the minimality of the eigenfunctions in the space `overline(W)_p^(2l) (0,pi)`, where `overline(W)_p^(2l) (0,pi)` be the set of functions `f in W_p^(2l) (0,pi)`, satisfying of the following conditions: `f^{(2k-1)}(0)=0, k=1,2,...,l`.
Type of Study:
Research Article |
Published: 2020/06/16
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