Existence of Positive Solutions to Fourth Order Quasilinear Boundary Value Problems  

作　　者：Zhan Bing BAI Wei Gao GE 

机构地区：[1]Institute of Mathematics, Shandong University of Science and Technology, Qingdao 266510, P.R. China [2]Department of Applied Mathematics, Beijing Institute of Technology, Beijing 100081, P.R. China

出　　处：《Acta Mathematica Sinica,English Series》2006年第6期1825-1830,共6页数学学报（英文版）

基　　金：This work is supported by the National Nature Science Foundation of China(10371006)

摘　　要：In this paper, we generalize the fixed point theorem of cone expansion and compression of norm type to the theorem of functional type. As an application, the existence of positive solutions for some fourth-order beam equation boundary value problems is obtained. The emphasis is put on that the nonlinear term is dependent on all lower order derivatives.In this paper, we generalize the fixed point theorem of cone expansion and compression of norm type to the theorem of functional type. As an application, the existence of positive solutions for some fourth-order beam equation boundary value problems is obtained. The emphasis is put on that the nonlinear term is dependent on all lower order derivatives.

关 键 词：fourth-order boundary value problem fixed point theorem positive solution 

分 类 号：O175.8[理学—数学]