1.

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.

2.

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.

3.

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.

4.

EXISTENCE OF POSITIVE MULTIPLE SOLUTIONS TO FRACTIONAL DIFFERENTIAL EQUATIONS WITH pLAPLACIAN OPERATOR





Limin Guo ;Xingqiu Zhang《Annals of Differential Equations》,2014年第4期


In this paper, we consider a twopoint fractional boundary value problem. We provide sufficient conditions for the existence of multiple positive solutions to the boundary value problem by Krasnosel＇skii fixed point theorem on the cone.

5.

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.

6.

EXISTENCE AND MULTIPLE EXISTENCE OF POSITIVE SOLUTIONS TO SECONDORDER mPOINT BOUNDARY VALUE PROBLEM ON TIME SCALES





《Annals of Differential Equations》,2010年第2期


By different fixed point theorems in cones, sufficient conditions for the existence and multiple existence of positive solutions to a class of secondorder multipoint boundary value problem for dynamic equation on time scales are obtained.

7.

MULTIPLE POSITIVE SOLUTIONS OF NONRESONANT SINGULAR BOUNDARY VALUE PROBLEM OF SECOND ORDER ORDINARY DIFFERENTIAL EQUATIONS





韦忠礼《Annals of Differential Equations》,2003年第2期


This paper studies the existence of multiple positive solutions of nonresonant singular boundary value problem of second order ordinary differential equations. A sufficient condition for the existence of C[0,1] multiple positive solutions as well as C1[0, 1] multiple positive solutions is given by means of the fixed point theorems on cones.

8.

The Existence and Multiplicity of Positive Solutions for a Third—order Three—point Boundary Value Problem 被引次数：31





QingliuYao《应用数学学报(英文版)》,2003年第19卷第1期


The existence of n positive solutions for a class of thirdorder threepoint boundary value problems is investigated,where n is an arbitrary natural number,The main tool is Krasnosel‘skii fixed point theorem on the cone.

9.

EXISTENCE AND UNIQUENESS OF THE SOLUTION FOR NONLINEAR THIRDORDER ROBIN BOUNDARY VALUE PROBLEM WITH A TURNING POINT





Yu Zanping Zhou Zheyan School of Math.and Computer Science Fujian Normal University Fuzhou 350007) Shen Jianhe 《Annals of Differential Equations》,2007年第23卷第3期


The paper aims to obtain existence and uniqueness of the solution as well as asymptotic estimate of the solution for singularly perturbed nonlinear third order Robin boundary value problem with a turning point.In order to achieve this aim,existence and uniqueness of the solution for thirdorder nonlinear Robin boundary value problem is derived first based on the upper and lower solutions method under relatively weaker conditions.In this manner,the goal of this paper is gained by applying the existence and uniqueness results mentioned above.

10.

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

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.

EXISTENCE THEOREM ABOUT MULTIPLE POSITIVE SOLUTIONS TO pLAPLACIAN BOUNDARY VALUE PROBLEM





Bo Sun《Annals of Differential Equations》,2012年第3期


In this paper,we apply a fixed point theorem to verify the existence of multiple positive solutions to a pLaplacian boundary value problem.Sufficient conditions are established which guarantee the existence of multiple positive solutions to the problem.

13.

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.

14.

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.

15.

二阶非线性微分方程组边值问题的正解(英文)





郑冬梅 鲁世平《数学季刊》,2011年第2期


By using fixedpoint index theory,we study boundary value problems for systems of nonlinear secondorder differential equation,and a result on existence and multiplicity of positive solutions is obtained.

16.

A class of boundary value problems for thirdorder differential equation with a turning point





莫嘉琪 温朝晖《应用数学和力学(英文版)》,2010年第31卷第8期


A class of boundary value problems for a thirdorder differential equation with a turning point is considered. Using the method of multiple scales and others, the uniformly valid asymptotic expansion of solution for the boundary value problem is constructed.

17.

POSITIVE SOLUTIONS TO AN INTEGRAL BOUNDARY VALUE PROBLEM WITH DELAY





Xingjuan Zhang Xiangkui Zhao Shasha Guo《Annals of Differential Equations》,2014年第4期


In this paper, we study a second order integral boundary value problem with delay. By the Krasnoselskii fixed point theorem, we obtain sufficient conditions for the existence of at least one or two positive solutions to the problem.

18.

Solutions for a class of singular nonlinear boundary value problem involving critical exponent





Yinbin Deng Li Wang《应用数学学报(英文版)》,2008年第24卷第3期


In this paper, we consider the existence of multiple solutions for a class of singular nonlinear boundary value problem involving critical exponent in Weighted Sobolev Spaces. The existence of two solutions is established by using the Ekeland Variational Principle. Meanwhile, the uniqueness of positive solution for the same problem is also obtained under different assumptions.

19.

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.

20.

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.
