奇异非线性二阶周期边值问题的正解
Positive solutions to singular nonlinear second order periodic boundary value problem
摘要
利用格林函数的正性和锥不动点指数,分析了一类奇异非线性二阶周期边值问题的多个正解的存在性.
The existence of multi-positive solutions are presented to a singular nonlinear second periodic order boundary value problem.And the proof uses the fixed point index in the cone theory.
出处
《大庆石油学院学报》
CAS
北大核心
2006年第3期111-113,共3页
Journal of Daqing Petroleum Institute
关键词
奇异非线性二阶周期边值问题
锥不动点指数
正解
singular nonlinear second order periodic boundary value problem
fixed point index
positive solutions
参考文献3
-
1ZHANG Zhong-xin,WANG Jun-yu.On existence and multiplicity of positive solutions to periodic boundary value problems for singular nonlinear second order differential equations[J].J.Math.Anal.Appl.2003(281):99-107.
-
2孔令彬,张长海.奇异超线性二阶边值问题的正解[J].哈尔滨工业大学学报,2003,35(3):288-290. 被引量：1
-
3孔令彬,毕有毅,李兆兴.奇异非线性高阶边值问题的可解性[J].大庆石油学院学报,2000,24(2):75-78. 被引量：4
二级参考文献10
-
1[1]CABADA A. The method of lower and upper solutions for second, third, fourth and higher order boundary value problems[J]. J Math Anal Appl, 1994,185:302-320.
-
2[2]NIETO J J, CABADA A. A generalized upper and lower solution method for nonlinear second order ordinary differential equations[J]. J Appl Math Stochastic Anal, 1992,5:157-166.
-
3[3]CABADA A, LOIS S. Maximum principles for fourth and sixth order periodic boundary value problems[J]. Nonlinear Analysis, 1997,29:1161-1171.
-
4[4]CABADA A, LIZ E. Boundary value problems for higher order ordinary differential equations with impulses[J]. Nonlinear analysis, 1998,32:775-786.
-
5[5]KONG Lingbin, WANG Junyu. The Green's function for (k,n-h) conjugate boundary value problems and its applications [J]. J Math Anal Appl, 2001, 255:404-422.
-
6[6]KONG Lingbin, JIANG Daqing. Multiple positive solutions of a nonlinear fourth order periodic boundary value problem[J]. Annales Polonici Mathematici, 1998,69:265-270.
-
7[7]KONG Lingbin, WANG Shoutian, WANG Junyu. Positive solution of a singular nonlinear third-order periodic boundary value problem[J]. J Comput Appl Math, 2001, 132:247-253.
-
8Kong Lingbin，Zangew Math Mech，1995年，75卷，725页
-
9Wang Junyu，Nonlinear Analysis，1994年，22卷，1051页
-
10孔令彬,程伟.拟线性p-Laplacian边值问题的正解[J].大庆石油学院学报,1997,21(4):86-88. 被引量：1
