POSITIVE SOLUTIONS TO SINGULAR(k, n-k) CONJUGATE BOUNDARY VALUE PROBLEMS  

作　　者：Weihua Jiang Bin Wang Jing Lu 

机构地区：[1]College of Sciences, Hebei University of Science and Technology [2]Dept. of Basic Courses, Hebei Professional and Technological College of Chemical and Pharmaceutical Engineering [3]Dept. of Basic Courses, Taiyuan University of Technology Yangquan College

出　　处：《Annals of Differential Equations》2013年第4期415-422,共8页微分方程年刊（英文版）

基　　金：supported by the National Natural Science Foundation of China(11171088);the Natural Science Foundation of Hebei Province(A2013208108);the Foundation of Hebei University of Science and Technology(XI2013060)

摘　　要：By the fxed point index theory, the existence of one, two and three positive solutions to(k, n-k) conjugate boundary value problems is obtained, where n 】 2, 1 ≤ k ≤ n-1, the nonlinear term may be noncontinuous and singular at any point of [0,1]. Our results extend some of the existent results.By the fxed point index theory, the existence of one, two and three positive solutions to(k, n-k) conjugate boundary value problems is obtained, where n > 2, 1 ≤ k ≤ n-1, the nonlinear term may be noncontinuous and singular at any point of [0,1]. Our results extend some of the existent results.

关 键 词：eigenvalue criteria fxed point index (k n-k) conjugate boundary value problem 

分 类 号：O175.8[理学—数学]