Sixth order differential operators with eigenvalue dependent boundary conditions
2013 ◽
Vol 7
(2)
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pp. 378-389
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Keyword(s):
We consider eigenvalue problems for sixth-order ordinary differential equations. Such differential equations occur in mathematical models of vibrations of curved arches. With suitably chosen eigenvalue dependent boundary conditions, the problem is realized by a quadratic operator pencil. It is shown that the operators in this pencil are self-adjoint, and that the spectrum of the pencil consists of eigenvalues of finite multiplicity in the closed upper half-plane, except for finitely many eigenvalues on the negative imaginary axis.
2000 ◽
Vol 130
(2)
◽
pp. 239-247
◽
1978 ◽
Vol 80
(3-4)
◽
pp. 357-362
◽
1993 ◽
Vol 35
(1)
◽
pp. 63-67
◽
2002 ◽
Vol 132
(6)
◽
pp. 1333-1359
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2021 ◽
Vol ahead-of-print
(ahead-of-print)
◽