| 四阶非线性方程两点边值问题 |
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| 引用本文： | 王向东,杨作东.四阶非线性方程两点边值问题[J].怀化学院学报,1991(1). |
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| 作者姓名： | 王向东 杨作东 |
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| 作者单位： | 许昌师专数学系
(王向东),河南师大数学系(杨作东) |
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| 摘 要： | 本文应用复合度的方法在f(x,y,z,u)无界的条件下证明了一般的四阶方程y=f(x,y,y′,y″) (*)在边界条件y(0)=A_1,y(1)=A_2,y″(0)=B_1,y″=B(_2或y(0))=A_1,y(1)=A_2,y″(0)=B_1,y(1)=B_2下解的存在性。
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| 关 键 词： | Fredholm算子 Coincidence度 边值问题 |
Two-point Boundary Value Problems for Some Fourth Order Nonlinear Equations |
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| Wang Xiangdong.Two-point Boundary Value Problems for Some Fourth Order Nonlinear Equations[J].Journal of Huaihua University,1991(1). |
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| Authors: | Wang Xiangdong |
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| Institution: | Wang Xiangdong
(Deparment Math. of Xochang Teachers College)
Yang Zoudong
(Depannent Math. of Hcnan Nonnol University) |
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| Abstract: | In this paper, we consider problem:
where f ∈ C( 0,1]× R × R × R, R) under the following types of boundary conditions: y(0) = A1 y(1)= A2, y"(0)= B1, y"(1)= B2 or y(0)= A1, y(1)= A2, y"(0)= B1, y'"(1)=B2. We prove that under adequate conditions imposed on f, Eq( * ) together with one of the above boundary conditions has at least a solution. |
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| Keywords: | Coincidence degree Fredhoim Operator L-Compaet |
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