Comparison theorems for eigenvalues

Fink, A. M.

doi:10.1090/qam/264153

Author: A. M. Fink
Journal: Quart. Appl. Math. 28 (1970), 289-292
MSC: Primary 34.30
DOI: https://doi.org/10.1090/qam/264153
MathSciNet review: 264153
Full-text PDF Free Access

References | Similar Articles | Additional Information

Dallas Banks, Bounds for the eigenvalues of some vibrating systems, Pacific J. Math. 10 (1960), 439–474. MR 117378
Dallas Banks, An integral inequality, Proc. Amer. Math. Soc. 14 (1963), 823–828. MR 153806, DOI https://doi.org/10.1090/S0002-9939-1963-0153806-8
Donald F. St. Mary, Some oscillation and comparison theorems for $(r(t)y^{\prime } )^{\prime } +p(t)y=0$, J. Differential Equations 5 (1969), 314–323. MR 233009, DOI https://doi.org/10.1016/0022-0396%2869%2990046-1
Paul R. Beesack, A note on an integral inequality, Proc. Amer. Math. Soc. 8 (1957), 875–879. MR 91325, DOI https://doi.org/10.1090/S0002-9939-1957-0091325-5
M. G. Krein, On certain problems on the maximum and minimum of characteristic values and on the Lyapunov zones of stability, Amer. Math. Soc. Transl. (2) 1 (1955), 163–187. MR 0073776, DOI https://doi.org/10.1090/trans2/001/08
A. S. Galbraith, On the zeros of solutions of ordinary differential equations of the second order, Proc. Amer. Math. Soc. 17 (1966), 333–337. MR 190435, DOI https://doi.org/10.1090/S0002-9939-1966-0190435-7