Duffing型方程组的边界值问题的解的存在性

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On the Existence of Solutions of Boundary Value Problems of Duffing Type Systems

1.
Department of Mathematics and Physics Sciences, Wuxi University of Light Industry, Wuxi 214036, P R China;
2.
Department of Mathematics, Nanjing University, Nanjing 210008, P R China

摘要: 给出了带Dirichlet边界条件、Neumann边界条件和周期边界条件的Duffing型方程组的两点边界值问题的解的几个存在性定理。
- Hilbert空间 /
- 微分方程组 /
- 两点边界值问题 /
- 解
Abstract: Several existence results of solutions of two-point boundary value problems of Duffing type systems with Dirichlet boundary conditions, Neumann boundary conditions and periodic boundary conditions are presented.
- Hilbert space /
- system of differential equations /
- two-point boundary value problem /
- solution

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[3]	黄文华,曹菊生,沈祖和.关于非线性两点边界值问题u"+g(t,u)=f(t),u(0)=u(2π)=0的解的存在性和唯一性[J].应用数学和力学,1998,19(9);821-826.

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