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《Acta Analysis Functionalis Applicata》 2009-01
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The Existence of Solutions for Non-homogenous Sturm-Liouville Boundary Value Problems of a Class of Differential Equations

LI Gao-shang1,2, LIU Xi-ping1, JIA Mei1, LI Chun-ling1, LI Fang-fei1 1. College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China 2. College of Science, Yantai Nanshan University, Longkou 265706, China  
We consider existence of solutions for non-homogenous Sturm-Liouville boundary value problems of a class of second order differential equations, where we allow that the nonlinearities are sign-changing, and we use fixed point theorem in a cone to obtain the existence of nontrivial and positive solutions of them.
【Fund】: 上海市教委科研基金(05EZ52)
【CateGory Index】: O175.8
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【Citations】
Chinese Journal Full-text Database 5 Hits
1 Bai Dingyong (Department of mathematics, Shaoguan University, Shaoguan 512005, China);Existence of Positive Solutions of Nonlinear Second-Order Differential Systems[J];Acta Mathematiea Scientia;2003-01
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【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 HE Jiang-hong1,HU Ling1,2,WANG Liang-long1(1.School of Mathematics and Computational Science,Anhui University,Hefei 230039,China;2.Department of Mathematics,Huangshan College,Huangshan 245041,China);Positive solutions of BVPs for a system of even-order ODEs[J];Journal of Anhui University(Natural Sciences);2007-05
2 DING Lei,XIA Da-feng (College of Mathematics & Physics,Nanjing University of Information Science & Technology,Nanjing 210044,China);The Existence of Positive Solutions of a Class of Boundary Value Problems for Systems of Second Order Three-dimensional Differential Equations[J];Journal of Beijing Union University(Natural Sciences);2009-01
3 DU Rui-juan(College of Mathematics and Information Science,Northwest Normal University,Lanzhou 730070,China);Existence of Solutions for Nonlinear Three-point Boundary Value Problems under Barrier Strips Conditions[J];Journal of Changchun Normal University;2006-10
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1 Ma Ruyun (Deportment of Mathematics,Northwest Normal University, Lanzhou 730070, Chica);Positive Solutions of Singular Second Order Boundary Value Problems[J];ACTA MATHEMATICA SINICA;1998-06
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