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This article is cited in 1 scientific paper (total in 1 paper)
On a Problem for Operator-Differential Second-Order Equations with Nonlocal Boundary Condition
K. A. Kerimova, S. S. Mirzoyevba a Institute of Mathematics and Mechanics, Azerbaijan National Academy of Sciences, Baku
b Baku State University
Abstract:
An operator-differential second-order equation with nonlocal boundary condition at zero is considered on the semiaxis. Here we give sufficient conditions on the operator coefficients for the regular solvability of the boundary-value problem. Moreover, we obtain conditions for the completeness and minimality of the derivative of the chain of eigen- and associated vectors generated by the boundary-value problem under study and establish the completeness and minimality of the decreasing elementary solutions of the operator-differential equation under consideration.
Keywords:
operator-differential second-order equation, regular solvability of a boundary-value problem, Hilbert space, nonlocal boundary condition.
Received: 24.04.2013
Citation:
K. A. Kerimov, S. S. Mirzoyev, “On a Problem for Operator-Differential Second-Order Equations with Nonlocal Boundary Condition”, Mat. Zametki, 94:3 (2013), 349–353; Math. Notes, 94:3 (2013), 330–334
Linking options:
https://www.mathnet.ru/eng/mzm10305https://doi.org/10.4213/mzm10305 https://www.mathnet.ru/eng/mzm/v94/i3/p349
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Abstract page: | 503 | Full-text PDF : | 201 | References: | 99 | First page: | 45 |
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