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Spectral properties of the operator pencils generated by second order elliptic boundary-value problems depending on parameter in an angle

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In this paper we consider spectral properties of the operator pencils generated by boundary-value problems for second order elliptic equation depending parameter in a plane angle. We receive explicit formula for the eigenvalues and the eigenvectors of the operator pencil, the multiplicity of the eigenvalues, and the differentiability of the eigenvalues and the eigenvectors with respect to the parameter. |

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