四阶非局部边值问题方程组正解的存在性  

Existence of positive solutions for nonlocal forth order boundary value problem systems

作　　者：索秀云[1] 郭少聪[1] 张继叶[1] 郭彦平[1] 

机构地区：[1]河北科技大学理学院,河北石家庄050018

出　　处：《河北科技大学学报》2012年第3期197-201,206,共6页Journal of Hebei University of Science and Technology

基　　金：国家自然科学基金资助项目(10971045);河北省自然科学基金资助项目(A2009000664)

摘　　要：利用锥上的Krasnoselskii不动点定理研究了一类具有积分边界条件的四阶非局部微分方程组边值问题正解的存在性。通过在Banach空间定义一个全连续的算子,得到了它至少存在1个正解的充分条件。By using Krasnoselskii fixed point theorem in a cone,the existence of positive solutions for nonlocal forth order boundary value problem systems with integral boundary conditions is studied.By defining a completely continuous operator in a Banach space,the sufficient condition under which the above problem has at least one positive solution is derived.

关 键 词：正解 非局部边值问题 KRASNOSELSKII不动点定理 

分 类 号：O17[理学—数学]