半无穷区间上一类带P-Laplacian算子微分方程m点边值问题多个正解的存在性

Existence of Multiple Positive Solutions for some m-point Differential Equation Involving P-Laplacian Operator on the Half-line

在线阅读下载PDF

导出

摘要讨论了一类带P-Laplacian算子的三阶微分方程在半无穷区间上m点边值问题多个正解的存在性,运用Leggett-Williams不动点定理结合相应的格林函数,得出了存在三个正解. In this paper,we consider the existence of multiple positive solutions for a three-order m-point boundary value problems on the half line involving P-Laplacian operators. By using the Leggett-Williams fixed point theory and combined with associated Green function,we show that there exists three positive solutions.

作者张伟高鹏张迪

机构地区中国矿业大学理学院

出处《淮阴师范学院学报（自然科学版）》 CAS 2016年第1期11-17,共7页 Journal of Huaiyin Teachers College;Natural Science Edition

关键词 M点边值问题半无穷区间 P-LAPLACIAN算子不动点定理正解 m-point boundary value problem half-line P-Laplacian operators fixed point theory positive solution

分类号 O175 [理学—基础数学]

引文网络
相关文献

参考文献14

1Guo Y, Yu C, Wang J. Existence of three positive solutions for m-point boundary value problems on infinite intervals [ J]. Nonlinear Anal, 2009, 71 (3) :717 - 722.
2Kim C G. Solvability of multi-point boundary value problems on the hal~-line [ J ]. J Nonlinear Sci Appl, 2012,5 (1) : 27 - 33.
3Jiang W. Solvability for p-Laplacian boundary value problem at resonance on the half-line[ J]. Boundary Value Problems, 2013(1): 1-10.
4Zhang X. Existence of positive solutions for multi-point boundary value problems on infinite intervals in Banachspaces~ J]. Appl Math Comput, 2008, 206(2): 932-941.
5Palamides P K, Agarwal R P. An existence theorem for singular third-order boundary value problem on [ 0, + w ) [ J ]. Ap- pl M Lett, 2008, 21 (12) : 1254 - 1259.
6Shi H, Pei M, Wang L. Solvability of a third-Order Three-Pointn Bounday Value Problem on a Half-Line [ J ~. Bull Mala Math Seie Soci, 2015, 38(3) :909-926.
7Djebali S, Saifi O. Upper and Lower Solutions for ~b-Laplaeian Third-order BVPs on the Half-Line[ J]. Cubo(Temuco) , 2014, 16(1) :105 -116.
8Lian H, Zhao J. Existence of unbounded solutions for a third-order boundary value problem on infinite intervals [ J]. Dis- crete Dynamics in Nature and Society, 2012 (10) :1 -14.
9Bai C, Li C. Unbounded upper and lower solution method for third-order boundary-value problems on the half-line [ J ]. E- lectro J Dif Equ, 2009 (119) : 1 - 12.
10Agarwal R P, Jiang D. A uniqueness and existence theorem for singular third-order boundary value problem on[0, + oo ) [J]. Appl M Lett, 2002,15(4) :445 -451.

共引文献6

1施恂栋,杨成,陈海量.一类三阶非局部共振问题解的存在性[J].黑龙江科技学院学报,2010,20(3):233-236.
2续丽伟,杨志林.多项式型Sturm-Liouville边值问题正解的存在性和唯一性[J].青岛理工大学学报,2010,31(3):104-107.
3赵莉莉,李永昆.时标上一类递归神经网络反周期解的存在唯一性与全局指数稳定性[J].云南大学学报（自然科学版）,2011,33(1):11-21.
4祁卫杰,贾梅,王淑.n阶微分方程边值问题解的存在性和唯一性[J].吉林大学学报（理学版）,2012,50(6):1103-1108.
5王淑,贾梅,祁卫杰.非线性项变号的分数阶微分方程边值问题正解的存在性[J].上海理工大学学报,2013,35(1):1-6. 被引量：2
6邓雪静,刘锡平,王晓.具分数微分算子的分数阶微分方程边值问题正解的存在性[J].吉林大学学报（理学版）,2015,53(5):857-862. 被引量：1

1刘兴元.具p-Laplacian算子方程多点边值问题3个正解的存在性[J].四川师范大学学报（自然科学版）,2012,35(1):78-81. 被引量：5
2徐建中,周宗福.一类四阶具有p-Laplacian算子微分方程周期解的存在性[J].西昌学院学报（自然科学版）,2012,26(3):27-32.

淮阴师范学院学报（自然科学版）

2016年第1期

浏览历史

内容加载中请稍等...

半无穷区间上一类带P-Laplacian算子微分方程m点边值问题多个正解的存在性

参考文献14

共引文献6

相关作者

相关机构

相关主题

浏览历史