Existence Results for m-Point Boundary Value Problem at Resonance with One-dimensional p-Laplacian
Existence Results for m-Point Boundary Value Problem at Resonance with One-dimensional p-Laplacian
摘要
By using Mawhin's continuation theorem, the existence of a solution for a class of m-point boundary value problem at resonance with one-dimensional p-Laplacian is obtained. An example is given to demonstrate the main result of this paper.
By using Mawhin's continuation theorem, the existence of a solution for a class of m-point boundary value problem at resonance with one-dimensional p-Laplacian is obtained. An example is given to demonstrate the main result of this paper.
基金
The NSF (Kj2007b055) of Anhui Educational Department
the Youth Project Foundation (2007jqL101,2007jqL102) of Anhui Educational Department.
参考文献10
-
1Il ’ in V A,Moiseev E I.Nonlocal boundary value problem of the second kind for a Sturm-Liouville operator[].Differential Equations.1987
-
2Il’in V,Moiseev E.Nonlocal Boundary Value Problems of the First Kind for a Sturm-Liouville Operatorin its Differential and Finite Difference Aspects[].Differential Equations.1987
-
3MA Ru-yun.Positive solutions for a nonlinear three-point boundary value problem[].Electronic Journal of Oncology.1999
-
4Liu B.Positive solutions of a nonlinear four-point boundary value problem[].Applied Mathematics and Computation.2004
-
5R.Y.Ma,N.Cataneda.Existence of solution for nonlinear m-point boundary value problem[].Journal of Mathematical Analysis and Applications.2001
-
6Guo Y,Ge W.Positive solutions for second-order three-point boundary value problems with dependence on first or-der derivative[].Journal of Mathematical Analysis and Applications.2004
-
7Feng, W.,and Webb,J. R. L.Solvability of three-point boundary value problems at resonance[].Nonlinear Analysis.1997
-
8Liu,B.Solvability of multi-point boundary value problem at resonance (II)[].Applied Mathematics and Computation.2003
-
9Liu,B.,Yu,Jianshe.Solvability of multi-point boundary value problem at resonance (III)[].Journal of Applied Mathematics.2002
-
10Liu,B.,Yu,J.Solvability of multi-point boundary value problems at resonance[].Applied Mathematics and Computation.2003
-
1沈春芳.二阶共振多点边值问题正解的存在性[J].应用数学,2011,24(1):195-203.
-
2杨刘,张卫国,刘锡平.二阶共振多点边值问题的正解[J].系统科学与数学,2011,31(12):1664-1672.
-
3杨爱军,纪德红,葛渭高.二阶共振周期边值问题多解的存在性[J].数学的实践与认识,2008,38(24):240-245.
-
4覃舟,刘进生.二阶离散共振问题的正负解[J].科技情报开发与经济,2011,21(10):187-189.
-
5江卫华,杨彩霞.带积分边界条件的共振边值问题正解的存在性[J].河北科技大学学报,2015,36(4):376-381. 被引量:2
-
6覃舟.二阶共振离散问题解的多重性[J].中北大学学报(自然科学版),2012,33(4):369-371.
-
7徐嘉彬,袁海甘,吴鸿斌,欧超豪,周晓明.弯曲共振法测量材料的杨氏模量实验改进[J].物理实验,2011,31(11):43-46. 被引量:15
-
8郝爱文,程龙,李新,李延军,曹圣磊,曾庆平.等臂L形银纳米天线的表面等离子特性研究[J].电子科技,2014,27(1):74-77. 被引量:1
-
9肖伏良,刘小兵.超光速RX模电磁波与磁层电子的二阶共振作用[J].长沙理工大学学报(自然科学版),2004,1(2):61-66.
-
10闵琦,彭锋,尹铫,刘克.突变截面驻波管和极高纯净驻波场的实验研究[J].声学学报,2010,35(2):185-191. 被引量:9