Solvability of a Boundary Value Problem for Elliptic Differential-Operator Equations of the Second Order with a Quadratic Complex Parameter

Author:

Aliev B. A.,Kerimov V. Z.,Yakubov Ya. S.

Publisher

Pleiades Publishing Ltd

Subject

General Mathematics,Analysis

Reference18 articles.

1. Gorbachuk, V.I. and Rybak, M.A., On boundary value problems for the Sturm–Liouville equation with a spectral parameter in the equation and in the boundary condition, in Pryamye i obratnye zadachi teorii rasseyaniya. Sb. nauchnykh trudov (Direct and Inverse Problems of Scattering Theory. Collected Works), Berezanskii, Yu.M., Ed., Kiev: Inst. Mat., Akad. Nauk UkrSSR, 1981, pp. 3–16.

2. Rybak, M.A., On the asymptotic distribution of eigenvalues of some boundary value problems for the operator Sturm–Liouville equation, Ukr. Mat. Zh., 1980, vol. 32, no. 2, pp. 248–252.

3. Denche, M., Abstract differential equation with a spectral parameter in the boundary conditions, Result. Math., 1999, vol. 35, pp. 216–227.

4. Aliev, B.A., Asymptotic behavior of eigenvalues of a boundary value problem with spectral parameter in the boundary conditions for the second order elliptic differential-operator equation, Trans. Natl. Acad. Sci. Azerb. Ser. Phys.-Tech. Math. Sci., 2005, vol. 25, no. 7, pp. 3–8.

5. Aliev, B.A., Asymptotic behavior of eigenvalues of one boundary value problem for the elliptic differential-operator equation of the second order, Ukr. Mat. Zh., 2006, vol. 58, no. 8, pp. 1146–1152.

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1. ON SOLVABILITY CONDITIONS OF BOUNDARY VALUE PROBLEMS FOR A CLASS OF OPERATOR-DIFFERENTIAL EQUATIONS OF THE THIRD ORDER IN SOBOLEV TYPE SPACES;Proceedings of the Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan;2022-11

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