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Aliev, Bahram A.; Kerimov, Vugar Z.

On solvability of a boundary value problem for a second order elliptic differential-operator equations with a complex linear parameter. (English) Zbl 1513.47087

Trans. Natl. Acad. Sci. Azerb., Ser. Phys.-Tech. Math. Sci. 41, No. 4, Math., 17-30 (2021).
Summary: In separable Hilbert space \(H\), we study solvability of a boundary value problem for a second order elliptic differential-operator equation in the case when one and the same complex parameter linearly enters into the equation and into one of the boundary conditions.

Cited in 1 Document

MSC:

47E05 General theory of ordinary differential operators
47A75 Eigenvalue problems for linear operators
34L10 Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators

Keywords:

differential-operator equations; boundary value problem; complex parameter; international space
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References:

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