Positive Solutions to Singular Boundary Value Problems with Sign Changing Nonlinearities on the Half-Line via Upper and Lower Solutions 被引量：5

Positive Solutions to Singular Boundary Value Problems with Sign Changing Nonlinearities on the Half-Line via Upper and Lower Solutions

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摘要 This paper presents a lower and upper solution technique for singular second order boundary value problems on the half line. This paper presents a lower and upper solution technique for singular second order boundary value problems on the half line.

作者 Bao Qiang YAN Donal O'REGAN Ravi P. AGARWAL

机构地区 Department of Mathematics Department of Mathematics Department of Mathematical Science

出处《Acta Mathematica Sinica,English Series》 SCIE CSCD 2007年第8期1447-1456,共10页 数学学报（英文版）

基金 The project is supported by the Fund of Outstanding Middle-aged Scientists of Shandong Province

关键词 boundary value problems lower and upper solutions Schauder＇s fixed point theorem boundary value problems, lower and upper solutions, Schauder＇s fixed point theorem

分类号 O175.8 [理学—数学]

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参考文献18

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同被引文献2

1Ravi P.AGARWAL,Donal O'REGAN,Svatoslav STANEK.An Upper and Lower Solution Theory for the Problem(G′(y))′+f(t,y)=0 on Finite and Infinite Intervals[J].Acta Mathematica Sinica,English Series,2006,22(3):827-832. 被引量：2
2Wan Tong LI Hong Rui SUN.Positive Solutions for Second-Order m-Point Boundary Value Problems on Time Scales[J].Acta Mathematica Sinica,English Series,2006,22(6):1797-1804. 被引量：2

引证文献5

1Sma?l Djebali,Samira Zahar.MULTIPLE SOLUTIONS TO SINGULAR BVPS WITH VARIABLE COEFFICIENT ON THE HALF-LINE[J].Annals of Differential Equations,2013,29(3):324-337.
2苏有慧,李万同.一类非线性项变号的奇异p-Laplacian动力方程正解的存在性[J].数学学报（中文版）,2009,52(1):181-196. 被引量：3
3张红雷,汤建,许方.非线性项变号的奇异p-Laplacian动力方程正解的存在性[J].山西大学学报（自然科学版）,2010,33(1):22-31.
4Smaïl Djebali,Ouiza Saïfi,闫宝强.POSITIVE SOLUTIONS FOR SINGULAR BVPs ON THE POSITIVE HALF-LINE ARISING FROM EPIDEMIOLOGY AND COMBUSTION THEORY[J].Acta Mathematica Scientia,2012,32(2):672-694. 被引量：2
5黄怡林,白定勇.无穷区间上边值问题正解的存在性[J].广州大学学报（自然科学版）,2017,16(2):34-40.

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1关永亮,赵增勤.带广义p-Laplace算子的常微分方程两点奇异边值问题正解的存在性[J].系统科学与数学,2012,32(9):1129-1137.
2薛益民,苏莹,胡飞.非线性项包含导数的边值问题的一个对称解[J].合肥工业大学学报（自然科学版）,2016,39(5):716-720. 被引量：1
3薛益民,苏莹.一类p-Laplacian边值问题多个对称解的存在性[J].安徽大学学报（自然科学版）,2016,40(4):30-36. 被引量：1
4Zakia Benbaziz,Smal Djebali.SECOND ORDER BVPS ON THE REAL LINE[J].Annals of Differential Equations,2015,31(1):1-14.
5王克,王颖.无穷区间上奇异边值问题正解的存在性[J].应用数学进展,2017,6(9):1151-1162.

1Zhong-li Wei,Shao-zhu Chen.Positive Solution of Singular Boundary Value Problems on a Half-Line[J].Acta Mathematicae Applicatae Sinica,2005,21(4):553-564. 被引量：9
2李媛媛,汤惟,韩海.二次矩阵方程X^2-2AX+B=0的唯一解[J].延边大学学报（自然科学版）,2009,35(3):211-213. 被引量：2
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6韩玉良.Periodic Solutions of Even Order Nonlinear Differential Equations[J].Northeastern Mathematical Journal,2006,22(1):30-36.
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8Ma Manjun,Li Dong,Li Xu.POSITIVE SOLUTIONS OF NONLINEAR FUNCTIONAL DIFFERENCE EQUATIONS[J].Annals of Differential Equations,2005,21(4):580-586.
9Pei-guang Wang,Ying Wang.Existence of Positive Solutions for Second-Order m-Point Boundary Value Problems on Time Scales[J].Acta Mathematicae Applicatae Sinica,2006,22(3):457-468. 被引量：5
10Shaoyuan Xu.NEW FIXED POINT THEOREMS FOR P_1-COMPACT MAPPINGS IN BANACH SPACES[J].Analysis in Theory and Applications,2007,23(3):274-282.

Acta Mathematica Sinica,English Series

2007年第8期

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Positive Solutions to Singular Boundary Value Problems with Sign Changing Nonlinearities on the Half-Line via Upper and Lower Solutions 被引量：5

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