1.

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.

2.

THE EXISTENCE OF SOLUTION OF A CLASS OF TWOORDER QUASILINEAR BOUNDARY VALUE PROBLEM





何清 冀春慈《应用数学和力学(英文版)》,1992年第13卷第10期


Ref. [1] discussed the existence of positive solutions of quasilinear twopoint boundary problems: but it restricts O

3.

YAMABE PROBLEM IN R~n AND RELATED PROBLEMS





曹道珉《数学物理学报(B辑英文版)》,1990年第2期


This paper is concerned with the existence of positive solution of the Yamabe problem in R~n.

4.

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.

5.

A THEOREM OF TRIPLE POSITIVE SOLUTIONS FOR MULTIPOINT BOUNDARY VALUE PROBLEMS 被引次数：1





任景莉 葛谓高 李翠哲《Annals of Differential Equations》,2003年第4期


In this paper we prove a new fixed point theorem in cones and then obtainthe existence of triple positive solutions for a class of multipoint boundaryvalue problem.

6.

Existence of Positive Solution for a pLaplacian System





YANG Guoying QI Ruigai《数学季刊》,2011年第4期


Using the fibering method introduced by Pohozaev, we prove existence of positive solution for a Diriclhlet problem with a quasilinear system involving pLaplacian operator.

7.

NONEXISTENCE AND EXISTENCE OF POSITIVE SOLUTIONS FOR 2nTHORDER SINGULAR SUPERLINEAR PROBLEMS WITH STRUMLIOUVILLE BOUNDARY CONDITIONS





赵增勤《数学物理学报(B辑英文版)》,2011年第31卷第4期


This paper investigates a class of 2nthorder singular superlinear problems with StrumLiouville boundary conditions. We obtain a necessary and sufficient condition for the existence of C 2 n 2 [0, 1] positive solutions, and a sufficient condition, a necessary condition for the existence of C 2 n1 [0, 1] positive solutions. Relations between the positive solutions and the Green’s functions are depicted. The results are used to judge nonexistence or existence of positive solutions for given boundary value problems.

8.

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.

9.

一类二阶m点边值问题的正解





闫杰生 杨刘 刘锡平《数学季刊》,2006年第21卷第3期


Using a fixed point theorem in cones, the paper consider the existence of positive solutions for a class of secondorder mpoint boundary value problem. Sufficient conditions to ensure the existence of double positive solutions are obtained. The associated Green function of this problem is also given.

10.

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

11.

Positive Solution of Singular Boundary Value Problems on a HalfLine





Zhongli Wei Shaozhu Chen《应用数学学报(英文版)》,2005年第21卷第4期


This paper investigates existence of positive solutions of singular sublinear boundary value problems on a halfline. Necessary and sufficient conditions for the existence of positive continuous solutions or smooth solutions on [0, ∞] are given by constructing new lower and upper solutions.

12.

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.

13.

EXISTENCE OF TRIPLE POSITIVE SOLUTIONS TO A MULTIPOINT BOUNDARY VALUE PROBLEM





Bo Sun Aijun Yang《Annals of Differential Equations》,2011年第2期


We apply a fixed point theorem to verify the existence of at least three positive solutions to a multipoint boundary value problem with pLaplacian. Existence criteria which ensure the existence of triple positive solutions are established.

14.

POSITIVE SOLUTIONS TO A COUPLED SYSTEM OF FRACTIONAL INTEGRAL BOUNDARY VALUE PROBLEM WITH DELAY





Shasha Guo Xiangkui Zhao《Annals of Differential Equations》,2015年第2期


In this paper, we study the existence of positive solutions to an integral boundary value problem with delay for a coupled system of fractional differential equations. By using the Krasnoselskii fixed point theorem, we obtain sufficient conditions for the existence of at least one or two positive solutions to the problem under some weaker conditions.

15.

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.

16.

POSITIVE SOLUTIONS OF BOUNDARY VALUE PROBLEM FOR A SYSTEM OF NONLINEAR ORDINARY DIFFERENTIAL EQUATIONS





Li Hongyu 《Annals of Differential Equations》,2005年第21卷第2期


By using topological method, we study a class of boundary value problem for a system of nonlinear ordinary differential equations. Under suitable conditions, we prove the existence of positive solution of the problem.

17.

POSITIVE SOLUTIONS TO FOURTH ORDER MULTIPOINT BOUNDARY VALUE PROBLEMS WITH pLAPLACIAN OPERATOR





《Annals of Differential Equations》,2009年第1期


In this paper, we consider the existence of positive solutions to a singular fourth order pLaplacian equation. By the upper and lower solution method and fixed point theorems, the existence of positive solutions to the boundary value problem is obtained under the assumption that the nonlinear term is decreasing.

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.

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.

20.

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.
