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Paine, John W, Andrew, Alan L (1983) Bounds and higher-order estimates for Sturm-Liouville eigenvalues. Journal of Mathematical Analysis and Applications, 96. 388-394 doi:10.1016/0022-247x(83)90048-3

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Reference TypeJournal (article/letter/editorial)
TitleBounds and higher-order estimates for Sturm-Liouville eigenvalues
JournalJournal of Mathematical Analysis and Applications
AuthorsPaine, John WAuthor
Andrew, Alan LAuthor
Year1983 (October)Volume96
PublisherElsevier BV
DOIdoi:10.1016/0022-247x(83)90048-3Search in ResearchGate
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Mindat Ref. ID12378508Long-form Identifiermindat:1:5:12378508:6
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Full ReferencePaine, John W, Andrew, Alan L (1983) Bounds and higher-order estimates for Sturm-Liouville eigenvalues. Journal of Mathematical Analysis and Applications, 96. 388-394 doi:10.1016/0022-247x(83)90048-3
Plain TextPaine, John W, Andrew, Alan L (1983) Bounds and higher-order estimates for Sturm-Liouville eigenvalues. Journal of Mathematical Analysis and Applications, 96. 388-394 doi:10.1016/0022-247x(83)90048-3
In(n.d.) Journal of Mathematical Analysis and Applications Vol. 96. Elsevier BV

See Also

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Andrew, Alan L, de Hoog, Frank R, Robb, Peter J (1981) Leighton's bounds for Sturm-Liouville eigenvalues. Journal of Mathematical Analysis and Applications, 83. 11-19 doi:10.1016/0022-247x(81)90242-0
Linden, Hansjörg (1991) Leighton's bounds for Sturm-Liouville eigenvalues with eigenvalue parameter in the boundary conditions. Journal of Mathematical Analysis and Applications, 156. 444-456 doi:10.1016/0022-247x(91)90408-r
Breuer, Shlomo, Gottlieb, David (1971) Upper and lower bounds on eigenvalues of Sturm-Liouville systems. Journal of Mathematical Analysis and Applications, 36. 465-476 doi:10.1016/0022-247x(71)90032-1
Leighton, Walter (1971) Upper and lower bounds for eigenvalues. Journal of Mathematical Analysis and Applications, 35. 381-388 doi:10.1016/0022-247x(71)90225-3
Harris, B.J (1983) Criteria for Sturm—Liouville equations to have continuous spectra. Journal of Mathematical Analysis and Applications, 93. 235-249 doi:10.1016/0022-247x(83)90228-7
Fix, George (1967) Asymptotic eigenvalues of Sturm-Liouville systems. Journal of Mathematical Analysis and Applications, 19. 519-525 doi:10.1016/0022-247x(67)90009-1
Graef, John R (1983) Nonoscillation of higher order functional differential equations. Journal of Mathematical Analysis and Applications, 92. 524-532 doi:10.1016/0022-247x(83)90264-0
Saei, F.D., Akbarfam, A. Jodayree (2010) Higher-order asymptotic formula for the eigenvalues of Sturm–Liouville problem with n turning points. Journal of Mathematical Analysis and Applications, 371. 1-15 doi:10.1016/j.jmaa.2009.01.015
Day, William B (1974) More bounds for eigenvalues. Journal of Mathematical Analysis and Applications, 46. 523-532 doi:10.1016/0022-247x(74)90258-3
Vuillermot, Pierre A (1983) One-parameter families of Sturm-Liouville eigenfunctions and of periodic solutions for a class of nonlinear Hill's equations. Journal of Mathematical Analysis and Applications, 97. 21-37 doi:10.1016/0022-247x(83)90234-2
Boumenir, A. (2003) Sampling for the fourth-order Sturm–Liouville differential operator. Journal of Mathematical Analysis and Applications, 278. 542-550 doi:10.1016/s0022-247x(03)00014-3
 
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