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奇异三阶三点边值问题正解的存在性

, PP. 167-171

Keywords: 存在性,奇异性,三点边值问题

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Abstract:

考虑奇异三阶边值问题u(t)=λg(t)f(u(t)),t∈(0,1),u(0)=u(p)-u(1)=u″(1)=0,正解的存在性,其中,λ>0为参数,1/2

References

[1]  [1] Li Y, Liang Z P. Two positive solutions to three-point singular boundary value problems[J]. Acta Math Sci,2011,B31(1):29-38.
[2]  Graef J R, Kong L J, Yang B. Positive solutions to a nonlinear third-order three-point boundary value problem[J]. Electric J Diff Eqns,2010,19:151-159.
[3]  Anderson D, Avery R I. Multiple positive solutions to a third-order discrete focal boundary value problem[J]. Comput Math Appl,2001,42:333-340.
[4]  [1 Anderson D R, Davis J M. Multiple solutions and eigenvalues for third-order right focal boundary value problems[J]. J Math Anal Appl,2002,267:135-157.
[5]  [1 Graef J R, Yang B. Positive solutions for a third-order nonlocal boundary value problem[J]. Discrete Cont Dyn Syst,2008(S1):89-97.
[6]  [1 Graef J R, Yang B. Positive solutions of a third-order eigenvalue problem[J]. Dyn Syst Appl,2006,15:97-110.
[7]  [1 Deimling K. Nonlinear Functional Analysis[M]. Berlin:Springer-Verlag,1985.
[8]  [1 郭大钧. 非线性泛函分析[M]. 济南:山东科学技术出版社,2001.
[9]  [1 Ma R Y. Existence theorems for a second order three-point boundary value problem[J]. J Math Anal Appl,1997,212:430-442.
[10]  Sun Y P. Positive solutions of singular third-order three-point boundary value problem[J]. J Math Anal Appl,2005,306:589-603.
[11]  Liu Y. Twin solutions to singular semipositone problems[J]. J Math Anal Appl,2003,286:248-260.
[12]  Agarwal R P, O’Regan D. Nonlinear superlinear singular and nonsingular second order boundary value problems[J]. J Diff Eqns,1998,143:60-95.
[13]  Li S H. Poitive solutions of nonlinear singular third-order two-point boundary value problem[J]. J Math Anal Appl,2006,323:413-425.
[14]  Yao Q L. Positive solutions of singular third-order three-point boundary value problems[J]. J Math Anal Appl,2009,354:207-212.
[15]  Ma R Y. μltiplicity results for a third-order boundary value problem at resonance[J]. Nonlinear Anal,1998,32:493-499.

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