Eigenvalue ratios and eigenvalue gaps of Sturm–Liouville operators
1998 ◽
Vol 128
(2)
◽
pp. 337-347
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Keyword(s):
We prove optimal lower bounds for arbitrary eigenvalue ratios (μm/μn) of the Sturm–Liouville operator with Dirichlet and Neumann boundary conditions. These imply optimal bounds for the eigenvalue gaps (μm – μn) of the corresponding problem. The method can be generalised to consider general separated endpoint boundary conditions.
Keyword(s):
2011 ◽
Vol 53
(3)
◽
pp. 569-575
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2020 ◽
Vol 13
(3)
◽
pp. 645-662
2020 ◽
Vol 28
(2)
◽
pp. 237-241
Keyword(s):
2013 ◽
Vol 265
(3)
◽
pp. 375-398
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Keyword(s):