Abstract
A fourth-order regular ordinary differential operator with eigenvalue dependent boundary conditions is considered. This problem is realized by a quadratic operator pencil with self-adjoint operators. The location of the eigenvalues is discussed and the first four terms of the eigenvalue asymptotics are evaluated explicitly.
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Communicated by Guest Editors L. Littlejohn and J. Stochel.
Dedicated to Prof. Franciszek Szafraniec on the occasion of his 70th birthday.
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Möller, M., Zinsou, B. Spectral Asymptotics of Self-Adjoint Fourth Order Differential Operators with Eigenvalue Parameter Dependent Boundary Conditions. Complex Anal. Oper. Theory 6, 799–818 (2012). https://doi.org/10.1007/s11785-011-0162-1
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DOI: https://doi.org/10.1007/s11785-011-0162-1
Keywords
- Fourth order differential operator
- Self-adjoint
- Boundary conditions
- Eigenvalue distribution
- Pure imaginary eigenvalues
- Spectral asymptotics