A(k,n-k) Conjugate Boundary Value Problem with Semipositone Nonlinearity  

作　　者：YAO QING-LIU Shi Shao-yun 

机构地区：[1]Department of Applied Mathematics, Nanjing University of Finance and Economics

出　　处：《Communications in Mathematical Research》2015年第1期51-61,共11页数学研究通讯（英文版）

基　　金：The NSF(11071109)of China

摘　　要：The existence of positive solution is proved for a （k, n - k） conjugate boundary value problem in which the nonlinearity may make negative values and may be singular with respect to the time variable. The main results of Agarwal et al. （Agarwal R P, Grace S R, O＇Regan D. Semipositive higher-order differential equations. Appl. Math. Letters, 2004, 14： 201-207） are extended. The basic tools are the Hammerstein integral equation and the Krasnosel＇skii＇s cone expansion-compression technique.The existence of positive solution is proved for a （k, n - k） conjugate boundary value problem in which the nonlinearity may make negative values and may be singular with respect to the time variable. The main results of Agarwal et al. （Agarwal R P, Grace S R, O＇Regan D. Semipositive higher-order differential equations. Appl. Math. Letters, 2004, 14： 201-207） are extended. The basic tools are the Hammerstein integral equation and the Krasnosel＇skii＇s cone expansion-compression technique.

关 键 词：higher order ordinary differential equation boundary value problem semipositone nonlinearity positive solution 

分 类 号：O175.8[理学—数学]