Fourth-order Birkhoff regular problems with eigenvalue parameter dependent boundary conditions

Authors: BERTIN ZINSOU

Abstract: A regular fourth-order differential equation that depends quadratically on the eigenvalue parameter $\lambda$ is considered with classes of separable boundary conditions independent of $\lambda$ or depending on $\lambda$ linearly. Conditions are given for the problems to be Birkhoff regular.

Keywords: Fourth order, Birkhoff regular problems, Birkhoff matrices, eigenvalue, boundary conditions

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