一类四阶奇异非局部问题的三个正解
|
摘要
应用Leggett-Williams不动点定理研究一类四阶奇异非局部问题(p(t)x'''(t))'=ω(t)f(t,x(t))0 Using the Leggett-Williams fixed point theorem,the existence of three positive solutions is considered for the following nonlocal problem:(p(t)x'''(t))'=ω(t)f(t,x(t))0
引文
[1]Zhang X,Ge W.Symmetric positive solutions of boundary value problems with integral boundary conditions[J].Appl Math Comput,2012,219:3553-3564.
[2]冯美强,张学梅,葛渭高.四阶微分方程奇异边值问题的正解[J].应用数学学报,2007,30(3):452-461.
[3]周友明.四阶奇异微分方程边值问题正解的存在性及多解性[J].应用泛函分析学报,2006,8(1):36-42.
[4]张炳根,孔令举.四阶奇异微分方程边值问题正解的存在性[J].数学年刊,2001,22A(4):397-402.
[5]庞常词,韦忠礼.四阶奇异微分方程边值问题两个正解的存在性[J].数学学报,2003,46(2):403-410.
[6]蒋继强,刘立山.一类奇异边值问题正解的存在性[J].曲阜师范大学学报,2007,33(2):13-18.
[7]郝新安,许乃伟,刘立山.三阶两点边值问题的多解[J].曲阜师范大学学报,2007,33(4):6-8.
[8]Leggett R W,Williams L R.Multiple positive fixed points of nonlinear operators on ordered Banach spaces[J].Indiana Univ Math J1979,28:673-688.
[2]冯美强,张学梅,葛渭高.四阶微分方程奇异边值问题的正解[J].应用数学学报,2007,30(3):452-461.
[3]周友明.四阶奇异微分方程边值问题正解的存在性及多解性[J].应用泛函分析学报,2006,8(1):36-42.
[4]张炳根,孔令举.四阶奇异微分方程边值问题正解的存在性[J].数学年刊,2001,22A(4):397-402.
[5]庞常词,韦忠礼.四阶奇异微分方程边值问题两个正解的存在性[J].数学学报,2003,46(2):403-410.
[6]蒋继强,刘立山.一类奇异边值问题正解的存在性[J].曲阜师范大学学报,2007,33(2):13-18.
[7]郝新安,许乃伟,刘立山.三阶两点边值问题的多解[J].曲阜师范大学学报,2007,33(4):6-8.
[8]Leggett R W,Williams L R.Multiple positive fixed points of nonlinear operators on ordered Banach spaces[J].Indiana Univ Math J1979,28:673-688.