一类奇异二阶边值问题正解存在的充分必要条件  

Necessary and Sufficient Condition for the Existence of Positive Solution to' a Class of Singular Second-order Boundary Value Problems

作　　者：栾世霞[1] 赵艳玲[1,2] 

机构地区：[1]曲阜师范大学数学科学学院,曲阜273165 [2]定陶县职业教育中心,定陶274100

出　　处：《数学学报（中文版）》2010年第6期1163-1170,共8页Acta Mathematica Sinica：Chinese Series

基　　金：国家自然科学基金(10771117);山东省青年基金(Q2007A02);自然科学基金(ZR2009AL016)资助

摘　　要：本文利用锥拉伸与压缩不动点定理,在非线性项一个为超线性另一个有界及非线性项一个可以分解为超线性与次线性另一个有界的情况下,给出一类奇异二阶边值问题有一阶可导正解的充分必要条件,推广并改进了一些已知的结果.In this paper,by using the tensile and the compression fixed-piont theorems in cone,a necessary and sufficient condition for the existence for the following nonlinear singular second-order boundry problem, the is obtained under the condition that the nonlinear term is super-linear or sub-linear, or the nonlinear term is decomposed into super-linear and sub-linear,which imposed some known results.

关 键 词：奇异二阶边值问题 正解 锥 超线性与次线性 

分 类 号：O175.8[理学—数学]