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一类带有两个参数变号四阶多点边值问题的正解
引用本文:李东,方海文,方秀男,杨文泉,康赵敏,赵宇.一类带有两个参数变号四阶多点边值问题的正解[J].淮阴师范学院学报(自然科学版),2012(2):122-128.
作者姓名:李东  方海文  方秀男  杨文泉  康赵敏  赵宇
作者单位:佳木斯大学理学院数学系
摘    要:应用拓扑度理论及下解的方法,讨论了以下带有两个参数的四阶多点边值问题u(4)(t)+βu′′(t)-αu(t)=μh(t)f(t,u(t),u′′(t)),0
关 键 词:拓扑度理论  下解  正解  变号  参数  多点

Positive Solutions for Fourth-Order Multi-Point Boundary Value Problem With two parameters and Sign Changing Nonlinearity
LI Dong,FANG Hai-wen,FANG Xiu-nan,YANG Wen-quan,KANG Zhao-min,ZHAO Yu.Positive Solutions for Fourth-Order Multi-Point Boundary Value Problem With two parameters and Sign Changing Nonlinearity[J].Journal of Huaiyin Teachers College(Natrual Science Edition),2012(2):122-128.
Authors:LI Dong  FANG Hai-wen  FANG Xiu-nan  YANG Wen-quan  KANG Zhao-min  ZHAO Yu
Institution:(Department of Mathematics,College of Science Jiamusi University,Jiamusi Heilongjiang 154007,China)
Abstract:In this paper,we investigate the existence of positive solutions for the furth-order multi-point boundary value problem with sign changing nonlinearityu(4)(t)+βu′′(t)-αu(t)=μh(t)f(t,u(t),u′′(t)),0
Keywords:method of lower solution with the method of topology degree  positive solution  multi-point  sign changing nonlinearity
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