1.

关于一个非线性三阶三点边值问题的正解存在性 被引次数：3





姚庆六《东北数学》,2003年第19卷第3期


An existence theorem of positive solution is established for a nonlinear thirdorder threepoint boundary value problem. Here, we concentrated on the case that the nonlinear term is neither superlinear nor sublinear, and is not asymptotic at zero and infinity.

2.

POSITIVE SOLUTION TO THREEORDER BOUNDARY VALUE PROBLEM WITH DEPENDENCE ON THE FIRST ORDER DERIVATIVE





Yanhong Zhang Yingshou Huang《Annals of Differential Equations》,2011年第4期


By cone theory and the fixed point index,we study the existence of positive solutions to a threeorder boundary value problem with dependence on the first order derivative.

3.

弱半正三阶三点边值问题的正解





姚庆六《数学研究与评论》,2010年第30卷第1期


The positive solutions are studied for the nonlinear thirdorder threepoint boundary value problem u′″（t）=f（t,u（t））,a.e,t∈[0,1],u（0）=u′（η）=u″（1）=0, where the nonlinear term f（t, u） is a Caratheodory function and there exists a nonnegative function h ∈ L^1[0, 1] such that f（t, u） 〉 ≥h（t）. The existence of n positive solutions is proved by considering the integrations of ＂height functions＂ and applying the Krasnosel＇skii fixed point theorem on cone.

4.

EXISTENCE AND UNIQUENESS RESULTS FOR NONLINEAR THIRDORDER BOUNDARY VALUE PROBLEM





《Annals of Differential Equations》,2009年第3期


In this paper,we investigate a nonlinear thirdorder threepoint boundary value problem. By several wellknown fixed point theorems,the existence of positive solutions is discussed. Besides,the uniqueness results are obtained by imposing growth restrictions on f.

5.

ON THE EXISTENCE,MULTIPLICITY AND UNIQUENESS OF POSITIVE SOLUTION FOR A THIRD ORDER TWOPOINT BOUNDARY VALUE PROBLEM





Feng Yuqiang Liu Sanyang 《Annals of Differential Equations》,2005年第21卷第3期


The existence, multiplicity and uniqueness of positive solutions of a third order two point boundary value problem are discussed with the help of two fixed point theorems in cones, respectively.

6.

Existance of Solutions of Boundary Value Problems For a Class of Third Order Nonlinear Differential Equations





《数学研究与评论》,1987年第3期


In article [1] G.A.Klaasen investigated the existence of solutions of twopoint and threepoint boundary value problems for a class of third order nonlinear differential equation

7.

EXISTENCE OF SOLUTIONS TO A THIRDORDER THREEPOINT BOUNDARY VALUE PROBLEM





Lixin Zhang Bo Sun Chunfeng Xing .Dept.of Basic Courses Beijing Union University Beijing ; .《Annals of Differential Equations》,2012年第3期


In this paper,we study the existence of solutions to a thirdorder threepoint boundary value problem.By imposing certain restrictions on the nonlinear term,we prove the existence of at least one solution to the boundary value problem by the method of lower and upper solutions.We are interested in the construction of lower and upper solutions.

8.

EXISTENCE AND MULTIPLICITY OF POSITIVE SOLUTIONS TO THIRDORDER PERIODIC BOUNDARY VALUE PROBLEM





Fang Zhang Feng Wang Fuli Wang《Annals of Differential Equations》,2011年第2期


The existence and multiplicity of positive solutions to a periodic boundary value problem for nonlinear thirdorder ordinary differential equation are established, based on the zero point theorem concerning cone expansion and compression of order type. Our main approach is different from the previous papers on the existence of multiple positive solutions to the similar problem.

9.

MULTIPLE POSITIVE SOLUTIONS OF BOUNDARY VALUE PROBLEM FOR A SYSTEM OF NONLINEAR THIRD ORDER DIFFERENTIAL EQUATIONS 被引次数：1





Hu Ling Wang Lianglong 《Annals of Differential Equations》,2006年第3期


This paper is concerned with the boundary value problem for a system of nonlinear third order differential equations. Under some suitable conditions, the existence and multiplicity of the positive solutions are established by using abstract fixedpoint theorems.

10.

POSITIVE SOLUTIONS TO A SEMILINEAR SYSTEM OF SECONDORDER TWOPOINT BOUNDARY VALUE PROBLEMS





Yao Qingliu 《Annals of Differential Equations》,2006年第22卷第1期


By using Krasnosel'skii fixed point theorem of cone expansioncompression type, the results on the existence of one, two and three positive solutions are established for a semilinear secondorder system of twopoint boundary value problems.

11.

半无穷区间上二阶三点边值问题的多个正解的存在性(英文)





孙艳梅《数学季刊》,2012年第1期


In this paper,we are concerned with the existence of multiple positive solutions to a secondorder threepoint boundary value problem on the halfline.The results are obtained by the LeggettWilliams fixed point theorem.

12.

一类具$p$Laplace非线性三点边值问题三个正解的存在性





李相锋 徐宏武《数学研究与评论》,2009年第29卷第3期


This paper deals with the existence of three positive solutions for a class of nonlinear singular threepoint boundary value problem with pLaplacian. By means of a fixed point theorem duo to Leggett and Williams, sufficient condition for the existence of at least three positive solutions to the nonlinear singular threepoint boundary value problem is established

13.

EXISTENCE OF POSITIVE SOLUTIONS TO A THREEPOINT BOUNDARY VALUE PROBLEM FOR SECOND ORDER DYNAMIC EQUATIONS WITH DERIVATIVE ON TIME SCALES





Jinjun Fan Fangfang Han《Annals of Differential Equations》,2014年第3期


In this paper, we consider the existence of positive solutions to a threepoint boundary value problem for second order dynamic equations with derivative on time scales.Applying LeggettWilliams fixed point theorem, we obtain at least three positive solutions to the problem. An example is also presented to illustrate the applications of the results obtained.

14.

TWIN POSITIVE SOLUTIONS TO A CLASS OF NONLINEAR SECONDORDER THREEPOINTS BOUNDARY VALUE PROBLEMS





姚庆六《Annals of Differential Equations》,2004年第20卷第1期


In this paper, we establish two existence theorems of twin positive solutions for a class of nonlinear secondorder threepoint boundary value problems, and concentrate on the case when nonlinear term does not satisfy usual conditions.

15.

一类二阶三点边值问题正解的存在性





李兆兴 张中新《东北数学》,2002年第18卷第2期


The existence of positive solutions is established for a nonlinear secondorder threepoint boundary value problem. The result improves and extends the main result in Electron J. Differential Equations, 34(1999), 18.

16.

EXISTENCE AND NONEXISTENCE OF POSITIVE SOLUTIONS TO A THREEPOINT BOUNDARY VALUE PROBLEM





《Annals of Differential Equations》,2012年第2期


In this paper, we are concerned with the existence and nonexistence of positive solutions to a threepoint boundary value problems. By Krasnoselskii’s fixed point theorem in Banach space, we obtain sufficient conditions for the existence and nonexistence of positive solutions to the above threepoint boundary value problems.

17.

POSITIVE SOLUTION TO A CLASS OF SINGULAR FRACTIONAL BOUNDARY VALUE PROBLEMS





Yugang Ren Jianmin Guo Shugui Kang《Annals of Differential Equations》,2012年第4期


In this paper,we investigate the existence and uniqueness of positive solutions to a class of singular fractional boundary value problem.The existence of positive solutions to the problem is based on a fixed point theorem in partially ordered sets.

18.

MULTIPLE POSITIVE SOLUTIONS TO FOURTHORDER SINGULAR BOUNDARY VALUE PROBLEMS





Jinjun Fan Yinghua Yang《Annals of Differential Equations》,2011年第1期


In this paper,using the Krasnaselskii's fixed point theory in cones and localization method,under more general conditions,the existence of n positive solutions to a class of fourthorder singular boundary value problems is considered.

19.

MULTIPLE POSITIVE SOLUTIONS TO A SINGULAR THIRDORDER THREEPOINT BOUNDARY VALUE PROBLEM





Hongping Wu《Annals of Differential Equations》,2011年第3期


In this paper,we study a singular thirdorder threepoint boundary value problem. By a fixed point theorem of cone expansioncompression type due to Krasnosel'skii,we obtain various new results on the existence of two positive solutions to the problem,whose coefficient is allowed to have suitable singularities. Finally,we give an example to verify our results.

20.

EXISTENCE OF AT LEAST THREE POSITIVE SOLUTIONS TO MULTIPOINT BOUNDARY VALUE PROBLEM WITH pLAPLACIAN OPERATOR





《Annals of Differential Equations》,2009年第2期


In this paper,we consider a multipoint boundary value problem. We obtain suffcient conditions ensuring the existence of at least three positive solutions to the boundary value problem.
