SOLVABILITY OF A THREE-POINT BOUNDARY VALUE PROBLEM WITH NONLINEAR GROWTH  

作　　者：Jing Xiao, Zhiguo Luo Dept. of Math., Hunan Normal University, Changsha 410081 

出　　处：《Annals of Differential Equations》2010年第1期70-76,共7页微分方程年刊（英文版）

基　　金：supported by NNSF of China (No.10571050)

摘　　要：In this paper, we study the existence of solutions to a three-point boundary value problem with nonlinear growth. Sufficient conditions for the existence of solutions to the system in the resonance and non-resonance cases are established by employing Leray-Schauder continuation theorem and the coincidence degree theory.In this paper, we study the existence of solutions to a three-point boundary value problem with nonlinear growth. Sufficient conditions for the existence of solutions to the system in the resonance and non-resonance cases are established by employing Leray-Schauder continuation theorem and the coincidence degree theory.

关 键 词：three-point boundary value problem equation with nonlinear growth Leray-Schauder continuation theorem coincidence degree theory 

分 类 号：O175.8[理学—数学]