一类四阶两点边值问题多个正解的存在性  

Existence of Multiple Positive Solutions of a Class of Fourth-Order Two-Point Boundary Value Problems

作　　者：卢整智[1] 韩晓玲[1] 

机构地区：[1]西北师范大学数学与统计学院,兰州730070

出　　处：《西南大学学报（自然科学版）》2013年第4期79-83,共5页Journal of Southwest University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(11101335)

摘　　要：运用不动点指数理论,研究了四阶两点边值问题u(4)(t)=f(t,u(t),u′(t),u″(t),u(t))0<t<1u(0)=u′(1)=0,au″(0)-bu(0)=0,cu″(1)+du(1)=0{多个正解的存在性.Under some conditions concerning the first eigenvalue, applying the fixed point index theory, the authors of the paper study the existence of multiple positive solutions for the fourth-order two-point boundary value problem

关 键 词：正解 锥 不动点指数 第一特征值 

分 类 号：O175.8[理学—数学]