没有增长限制条件的四阶非线性方程两点边值问题解的存在性  

EXISTENCE OF SOLUTIONS OF TWO-POINT BOUNDARY VALUE PROBLEMS FOR FOURTH-ORDER NONLINEAR DIFFERENTIAL EQUATIONS WITHOUT GROWTH RESTRICTIONS

作　　者：杨作东[1] 王元[1] 柴新宽[1] 

机构地区：[1]河南师范大学数学系

出　　处：《河南师范大学学报（自然科学版）》1991年第3期11-16,共6页Journal of Henan Normal University(Natural Science Edition)

摘　　要：在没有增长限制条件下,本文证明了四阶非线性方程两点边值问题解的存在性,推广了文献[1][2]中的结果。In this paper,without growth restrictions condition,we have proved the existence of solutions forfourth-order nonlinear equation of two-point boundary value problem and extended the results ofliterture[1],[2].

关 键 词：两点边值问题 拓扑度 L-紧算子 

分 类 号：O175.8[理学—数学]