A nonlocal boundary-value problem for a fourth-order mixed-type equation
Keyword(s):
The criterion of uniqueness of a solution of the problem with periodicity and nonlocal and boundary conditions is established by the spectral analysis for a fourth-order mixed-type equation in a rectangular region. When constructing a solution in the form of the sum of a series, we use the completeness in the space L_2, the system of eigenfunctions of the corresponding problem orthogonally conjugate. When proving the convergence of a series, the problem of small denominators arises. Under some conditions imposed on the parameters of the data of the problem and given functions, the stability of the solution is proved.
2017 ◽
Vol 20
(10)
◽
pp. 91-101
2017 ◽
Vol 19
(4)
◽
pp. 12-22
2021 ◽
Vol 104
(4)
◽
pp. 89-102