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Title: Triple positive solutions for $(k,n-k)$ conjugate boundary value problems (English)
Author: Davis, John M.
Author: Henderson, Johnny
Language: English
Journal: Mathematica Slovaca
ISSN: 0139-9918
Volume: 51
Issue: 3
Year: 2001
Pages: 313-320
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Category: math
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MSC: 34B10
MSC: 34B18
idZBL: Zbl 0996.34017
idMR: MR1842319
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Date available: 2009-09-25T11:52:46Z
Last updated: 2012-08-01
Stable URL: http://hdl.handle.net/10338.dmlcz/130289
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Reference: [2] AVERY R. I.: Existence of multiple positive solutions to a conjugate boundary value problem.Math. Sci. Res. Hot-Line 2 (1998), 1-6. Zbl 0960.34503, MR 1604142
Reference: [3] AVERY R.-PETERSON A.: Multiple positive solutions of a discrete second order conjugate problem.Panamer. Math. J. 8 (1998), 1-12. Zbl 0959.39006, MR 1642636
Reference: [4] CHYAN C. J.-DAVIS J. M.: Existence of triple positive solutions for $(n,p)$ and $(p, n)$ boundary value problems.Commun. Aррl. Anal. (To appear). Zbl 1085.34512
Reference: [5] CHYAN C. J.-DAVIS J. M.-YIN W. K. C: Existence of triple positive solutions for $(k,n - k)$ right focal boundary value problems.Nonlinear Stud. 8 (2001), 33-52. Zbl 0999.34019, MR 1856215
Reference: [6] ELOE P. W.-HENDERSON J.: Inequalities based on a generalization of concavity.Proc. Amer. Math. Soc. 125 (1997), 2103-2108. Zbl 0868.34008, MR 1376760
Reference: [7] GUO D.-LAKSHMIKANTHAM V.: Nonlinear Problems in Abstract Cones.Academic Press, San Diego, 1988. Zbl 0661.47045, MR 0959889
Reference: [8] HENDERSON J.: Multiple symmetric positive solutions for discrete Lidstone boundary value problems.Dynam. Contin. Discrete Impuls. Systems 7 (2000), 577-585. Zbl 0969.39003, MR 1795819
Reference: [9] HENDERSON J.-THOMPSON H. B.: Multiple symmetric solutions for a second order boundary value problem.Proc. Amer. Math. Soc. 128 (2000), 2373-2379. MR 1709753
Reference: [10] LEGGETT R.-WILLIAMS L.: Multiple positive fixed points of nonlinear operators on ordered Banach spaces.Indiana Univ. Math. J. 28 (1979), 673-688. Zbl 0421.47033, MR 0542951
Reference: [11] WONG P. J. Y.-AGARWAL R. P.: Results and estimates on multiple solutions of Lidstone boundary value problems.Acta Math. Hungar. 86 (2000), 137-168. Zbl 0966.34017, MR 1728595
Reference: [12] WONG P. J. Y.-AGARWAL R. P.: Multiple solutions of difference and partial difference equations with Lidstone conditions.Math. Comput. Modelling 32 (2000), 699-725. Zbl 0973.39001, MR 1791177
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