Solvability of a Boundary Value Problem for Second-Order Elliptic Differential Operator Equations with a Spectral Parameter in the Equation and in the Boundary Conditions |
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| Authors: | B. A. Aliev N. K. Kurbanova Ya. Yakubov |
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| Affiliation: | 1.Institute of Mathematics and Mechanics,National Academy of Sciences of Azerbaijan,Baku,Azerbaijan;2.Azerbaijan State Pedagogical University,Baku,Azerbaijan;3.Tel-Aviv University,Tel-Aviv,Israel |
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| Abstract: | In a Hilbert space H, we study noncoercive solvability of a boundary value problem for second-order elliptic differential-operator equations with a spectral parameter in the equation and in the boundary conditions in the case where the leading part of one of the boundary conditions contains a bounded linear operator in addition to the spectral parameter. We also illustrate applications of the general results obtained to elliptic boundary value problems. |
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