带有积分边界条件的非线性四阶奇异微分方程组的正解  

POSITIVE SOLUTIONS FOR SYSTEMS OF NONLINEAR FOURTH-ORDER SINGULAR DIFFERENTIAL EQUATIONS WITH INTEGRAL BOUNDARY CONDITIONS

作　　者：夏峰[1] 刘立山[1] 王永庆[1] 

机构地区：[1]曲阜师范大学数学科学学院,曲阜273165

出　　处：《系统科学与数学》2012年第4期459-475,共17页Journal of Systems Science and Mathematical Sciences

基　　金：国家自然科学基金资助项目(11071141;11126231);山东省自然科学基金资助项目(ZR2011AQ008);曲阜师范大学博士科研启动经费资助项目(Bsqd2007040)

摘　　要：通过构造一个特殊的锥,并在锥上应用不动点定理,得到了具有积分边界条件的四阶奇异微分方程组单个正解、多个正解的存在性和方程组正解的不存在性.In this paper, by constructing a specially cone and using the fixed point theorem in cone, we obtain the existence of single and multiple positive solutions for systems of the fourth-order nonlinear singular differential equations with integral boundary conditions. The nonexistence of positive solution for systems is also studied.

关 键 词：正解 四阶微分方程组 积分边界条件 不动点. 

分 类 号：O241.8[理学—计算数学]