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数学与物理
理论数学
Vol. 1 No. 2 (July 2011)
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一类具p-Laplacian算子的m点边值问题的三个正解
Three Positive Solutions for a Class of m-Point Boundary Value Problem with One-Dimensional p-Laplacian
DOI:
10.12677/pm.2011.12022
,
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,
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被引量
国家自然科学基金支持
作者:
白冬龙
,
封汉颍
:
关键词:
m点边值问题
;
Leggett-Williams不动点定理
;
锥
;
p-Laplacian算子
m-Point Boundary Value Problem; Leggett-Williams Fixed Point Theorem; Cone; p-Laplacian Operator
摘要:
暂无
文章引用:
白冬龙, 封汉颍. 一类具p-Laplacian算子的m点边值问题的三个正解[J]. 理论数学, 2011, 1(2): 107-113.
http://dx.doi.org/10.12677/pm.2011.12022
参考文献
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S. P. Chen. Three positive solutions of multi-point BVPs established by using Leggett-Williams fixed point theorem. Journal of Sichuan Normal University, 2009, 32(4): 465-469.
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Y. Chen. Multiple positive solutions for semipositone m-point boundary value problems. Chinese Journal of Engineering Mathematics, 2009, 26(2): 349-356.
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杜波, 葛渭高. 一类具p-Laplacian算子边值问题的三个正解的存在性[J]. 数学的实践与认识, 2008, 38(20): 201-204.
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Y. P. Guo, Y. D. Ji, and J. H. Zhang. Three positive solutions for a nonlinear nth-order m-point boundary value problem. Nonlinear Analysis, 2008, 68(11): 3485-3492.
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D. H. Ji, H. Y. Feng, and W. G. Ge. The existence of symmetric positive solutions for some nonlinear equation systems. Applied Mathematics and Computation, 2008, 197(1): 51-59.
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X. J. Liu, J. Q. Qiu, and Y. P. Guo. Three positive solutions for second-order m-point boundary value problems. Applied Mathematics and Computation, 2004, 156(3): 733-742.
[
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R. Y. Ma, D. M. Cao. Positive solutions to an m-point boundary value problem. Applied Mathematical—A Journal of Chinese Universities, 2002, 17 (1): 24-30.
[
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Z. Wu, L. L. Wang. Multiple positive solutions for singular boundary value problems with p-Laplacian. Annals of Differential Equations, 2007, 23(4): 519-524.
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赵俊芳, 王文丽, 葛渭高. 具p-Laplacian算子的多点边值问题三个对称正解的存在性[J]. 数学学报, 2009, 52(2): 259-268.
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张晓燕, 孙经先. 一维奇异p-Laplacian方程多解的存在性[J]. 数学物理学报, 2006, 26(1): 143-149.
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R. W. Leggett, L. R. Williams. Multiple positive fixed points of nonlinear operators on ordered Banach spaces. Indiana University Mathematics Journal, 1979, 28(4): 673-688.
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