四阶超线性奇异微分方程正解存在的充分必要条件  

A Necessary and Sufficient Condition for the Existence of Positive Solutions of Fourth Order Singular Superlinear Differential Equations

作　　者：赵增勤[1] 

机构地区：[1]曲阜师范大学数学科学学院,曲阜273165

出　　处：《数学学报（中文版）》2007年第6期1425-1434,共10页Acta Mathematica Sinica：Chinese Series

基　　金：国家自然科学基金(10471075);山东省自然科学基金(Y2006A04);高教博士点专项科研基金(20060446001)

摘　　要：利用范数形式的锥拉伸与压缩不动点定理,对一类四阶奇异超线性微分方程边值问题做了研究,得到C^2[0,1]正解与C^3[0,1]正解存在的充分必要条件,也得到C^2[0,1]正解的不可比较性等解的性质.This paper investigates a class of fourth order singular sublinear boundary value problems. A necessary and sufficient condition for the existence of C^2 [0, 1] positive solutions as well as C^3[0, 1] positive solutions is given by using fixed point theorem of cone expansion of norm type. We also obtaied the incomparability of C^2 [0, 1] positive solutions.

关 键 词：奇异边值问题 四阶超线性 正解 

分 类 号：O175.8[理学—数学]