一类四阶Neumann边值问题解的存在性

Existence of solutions to a class of fourth-order Neumann boundary value problem

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摘要通过运用Leggett-Williams三解定理给出一类带变系数的四阶Neumann边值问题存在三个非负解的充分性条件. The sufficient condition for existence of three nonnegative solutions to a class of nonlinear fourth-order Neumann boundary value problem with variable coefficients was given by using the Leggett- Williams three-solution theorem.

作者黄永峰

机构地区昌吉学院数学系

出处《兰州理工大学学报》 CAS 北大核心 2011年第6期145-147,共3页 Journal of Lanzhou University of Technology

基金新疆昌吉学院科研基金(2010SSQD024)的资助

关键词 NEUMANN边值问题 Leggett-Williams三解定理非负解 Neumann boundary value problem Leggett-Williams three-solution theorem nonnegativesolution

分类号 O175.8 [理学—基础数学]

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参考文献4

1蒋达清,刘辉昭.二阶微分方程Neumann边值问题正解存在性(英文)[J].Journal of Mathematical Research and Exposition,2000,20(3):360-364. 被引量：31
2SUN J P, LI W T. Three positive solutions for second-order Neumann boundary value problems [J]. Appl Math Lett, 2004,17 : 1079-1084.
3LI F Y, ZHANG Y B, LI Y H. Sign-changing solutions on a kind of fourth-order Neumann boundary value problem [J]. J Math Anal Appl,2008,344:417-428.
4李永祥.二阶非线性常微分方程的正周期解[J].数学学报（中文版）,2002,45(3):481-488. 被引量：45

二级参考文献19

1Leela S., Monotone method for second order periodic boundary value problems, Nonlinear Anal., 1983, 7:349-355.
2Nieto J. J., Nonlinear second-order peroidic boundary value problems, J. Math, Anal. Appl., 1988, 130:22-29.
3Cabada A., Nieto J. J., A generation of the monotone iterative technique for nonlinear second-order periodicboundary value problems, J. Math. Anal. Appl., 1990, 151: 181-189.
4Cabada A., The method of lower and upper solutions for second, third, forth, and higher order boundaryvalue problens, J. Math. Anal. Appl., 1994, 185: 302-320.
5Gossez J. P., Pmari P., Periodic solutions of a second order ordinary differential equation: anecesary andsufficient condition for nonresonance, J. Diff. Equs., 1991, 94: 67-82.
6Omari P., Villari G., Zandin F., Periodic solutions of lienard equation with one-sided growth restrictions, J.Diff. Equs., 1987, 67: 278-293.
7Ge Weigao, On the existence of harmonic solutions of lienard system, Nonlinear Anal., 1991, 16(2): 183-190.
8Mawhin J., Willem M., Multiple solutions of the periodic boundary value problem for some forced pendulumtype equations, J. Diff. Equs., 1984, 52: 264-287.
9Zelati V. C., Periodic solutions of dynamical systems with bounded potential, J. Diff. Equs., 1987, 67:400-413.
10Lassoued L., Periodic solutions of a second order superquadratic system with a change of sign in potential,J. Diff. Equs., 1991, 93: 1-18.

共引文献70

1Zhilong Li (Dept. of Math., Jiangxi University of Finance and Economics, Nanchang 330013).POSITIVE SOLUTIONS TO A CLASS OF SECOND-ORDER SINGULAR SEMIPOSITIVE NEUMANN BOUNDARY VALUE PROBLEM WITH GENERAL FORM[J].Annals of Differential Equations,2010,26(3):284-291.
2Zhilong Li,Shujun Jiang(Dept. of Math.,Jiangxi University of Finance and Economics,Nanchang 330013).EXISTENCE OF POSITIVE SOLUTIONS TO SINGULAR SUBLINEAR SEMIPOSITONE NEUMANN BOUNDARY VALUE PROBLEM[J].Annals of Differential Equations,2011,27(3):336-342.
3Ruipeng Chen , Yanqiong Lu (Dept. of Math., Northwest Normal University, Lanzhou 730070).EXISTENCE AND MULTIPLICITY OF POSITIVE SOLUTIONS TO NONLINEAR SEMIPOSITONE NEUMANN BOUNDARY VALUE PROBLEM[J].Annals of Differential Equations,2012,28(2):137-145.
4陈顺清.非线性边值问题的正周期解[J].四川大学学报（自然科学版）,2004,41(4):700-703.
5宋卫红.时滞差分方程周期正解的存在性[J].广州大学学报（自然科学版）,2004,3(4):292-295.
6刘锡平,贾梅.一类二阶迭代微分方程的周期解[J].应用数学学报,2004,27(3):481-488. 被引量：11
7孙永平.一类奇异Neumann边值问题正解的存在性[J].南京大学学报（数学半年刊）,2004,21(2):345-353.
8张兴秋,仲秋艳.Banach空间一类奇异脉冲微分方程的正解存在性[J].山东大学学报（理学版）,2005,40(1):29-34.
9姚庆六,李永祥.半正Neumann边值问题的解和正解的存在性与多解性[J].西南交通大学学报,2005,40(4):539-543. 被引量：13
10戚仕硕,王霞.半正二阶Neumann边值问题的正解[J].郑州大学学报（理学版）,2006,38(1):14-18. 被引量：4

1孙鑫.一类环形区域上的椭圆问题[J].太原师范学院学报（自然科学版）,2012,11(4):114-116. 被引量：1
2杨瑞兰.一类六阶方程边值问题正解的存在性[J].忻州师范学院学报,2007,23(2):43-46.
3黄永峰.一类带参数的四阶Neumann边值问题解的存在性[J].昌吉学院学报,2011(4):97-100.
4黄永峰.一类带参数的四阶Neumann边值问题解的存在性[J].昌吉学院学报,2011(1):104-108. 被引量：2
5黄永峰.一类四阶Neumann边值问题正解的存在性[J].山西大学学报（自然科学版）,2008,31(A02):6-8.
6黄永峰.一类四阶Neumann边值问题解的存在性[J].成都大学学报（自然科学版）,2011,30(2):117-119.
7刘芫健,许忠义.多园柱域上的Neumann边值问题[J].赣南师范学院学报,2005,26(6):25-27.
8郭彩霞,郭建敏,李华鹏.带有参数的四阶Neumann边值问题解的存在性[J].数学的实践与认识,2009,39(14):243-246. 被引量：2
9郭建敏,郭彩霞,李华鹏.带有参数的四阶Neumann边值问题解的存在性和多解性(英文)[J].生物数学学报,2011,26(1):34-42. 被引量：6

兰州理工大学学报

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一类四阶Neumann边值问题解的存在性

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