On Computation Of Eigenfunctions Of Composite Type Equations With Regular Boundary Value Conditions
Imanbaev N.S. Kurmysh Y.
2021Academic Publications Ltd.
International Journal of Applied Mathematics
2021#34Issue 4681 - 692 pp.
In this paper, we consider the question on computation of eigenvalues and eigenfunctions of a third-order composite type equation in a rectangular region D of the space W3 2 (0, 1) satisfying the following boundary conditions u|@D = 0, ux (0, y) = ux (1, y), uy (x, 0) = uy (x, 1), where D = {x, y: 0 < x < 1, 0 < y < 1}. All eigenvalues and eigenfunctions of the considered spectral problem are found, and the adjoint operator is constructed.
adjoint operator , characteristic determinant , composite type equation , eigenfunctions , eigenvalues , periodic boundary value conditions , regular , zeros of entire functions
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Institute Of Mathematics And Mathematical Modeling, Str.Pushkin 125, Almaty, 050010, Kazakhstan
Department Of Mathematics, South Kazakhstan State Pedagogical University, Str. Baitursynov 13, 160000, Shymkent, Kazakhstan
Institute Of Mathematics And Mathematical Modeling
Department Of Mathematics
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