一类非线性三点边值问题正解的存在性
Existence of Positive Solutions for the Nonlinear Three-Point Boundary Value Problems
摘要
文章研究了一类非线性三点边值问题正解的存在性。运用一种新的方法得到格林函数的一些性质，然后运用Guo—Krasnoselskii不动点定理建立了边值问题在满足很弱的条件下解存在的条件，推广和改善了相关文献的结果。
In this paper, considering the nonlinear three-point boundary value problem new method for some properties of Green＇s function was studied. By using Guo-Krasnoselskii fixed point theorem, The existence of solutions was established which improved and generalize some existing results in corresponding literatures.
出处
《海军航空工程学院学报》
2011年第4期477-480,共4页
Journal of Naval Aeronautical and Astronautical University
参考文献7
-
1LI FANGFEI, JIA MEI. Existence and uniqueness of solutions of second-order three-point boundary value problems with upper and lower solutions in the reversed order[J]. Nonlinear Analysis, 2008,68(5) 2381-2388.
-
2MA R. Positive solutions for second order three-point boundary value problems[J]. Appl. Math. Lett., 2001. 144(1):1-5.
-
3YANG C. ZHAI C. YAN J three-point boundary value differential equations with Positive solutions of the problem for second order an advanced argument[J] Nonlinear Anal. 2006.65(4):2013-2023.
-
4AN YULIAN. Existence of solutions for a three-point boundary value problem at resonance[J]. Nonlinear Analysis, 2006.65( 1):1633-1643.
-
5LUO H, MA Q. Positive solutions to a generalized second-order time scales[J] 17(1):1-14. three-poin boundary value problem on Electron. J. Differential Equations, 2005,.
-
6修国众,时宝,盖明久.一类二阶三点边值问题解的存在性[J].海军航空工程学院学报,2009,24(3):356-360. 被引量：1
-
7KRASNOSELSKII M. Positive solutions of Operator Equations[M]. Noordhoff, Groningen, 1964.
二级参考文献9
-
1李沫.2n阶边值问题的正解[J].海军航空工程学院学报,2007,22(6):697-700. 被引量：1
-
2NKASHAMA M N.A generalized upper and lower solutions method and multiplicity results for periodic solutions of nonlinear first Order differential equations[J].Math.Appl.,1989,140(2):381-395.
-
3MA R,WANG H.Positive solutions of a nonlinear three-point boundary value problem[J].Math.Anal.Appl.,2003,279(2):216-227.
-
4SUN J P,LI W T,ZHAO Y H.Three positive solutions of a nonlinear three-point boundary value problem[J].Math.Anal.Appl.,2003,288(2):708-716.
-
5WEBB J R L.Positive solutions of some three point boundary value problems via fixed point index theory[M].Nonlinear Anal.2001.47(7):4319--4332.
-
6BOBISUD L E,DO T S,LEE Y S.Application of implicit function theorems to existence of solutions to ordinary differential equations with nonlocal boundary conditions[J].Math.Anal.Appl.,2002,273(2):512-528.
-
7GUO Y,GE W.Positive solutions for three-point boundary value problems with dependence on the first derivative[J].Math.Appl.,2004,290(1):29 1-30 1.
-
8RAHMAT ALl KHAN,RAFIQUE M.Existence and multiplicity results for some three-point boundary value problems[J].Nonlinear Anal.,2007,66(8):1686-1697.
-
9BERNFELD S R,LAKSHMIKANTHAM V.An Introduction to Nonlinear Boundary Value Problem[M].Academic Press,Inc.,New York,Londen,1 974.
