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- Du Nailin, Zeng Xianwu
- Wuhan University Journal of Natural Sciences
- 2008

Two theorems are proved. They are with principal significance in functional analysis, for they imply some well-known theorems, such as the open mapping theorem, the closed graph theorem and the Banach-Steinhaus theorem.

- Du Nailin
- Wuhan University Journal of Natural Sciences
- 2008

The main result of this paper is a basic theorem about generalized Galerkin approximations for pseudoinverses and operator equations of the first kind, which is presented as follows: LetH be a Hilbert space, {H n} a sequence of closed subspaces ofH,P n the orthogonal projection ofH ontoH n,A ∈ ℬ ( H ) andA n ∈ ℬ ( Hn ). Suppose $$\mathop {s - \lim… (More)

- Zeng Xianwu, Du Nailin, Chen Shihua
- Wuhan University Journal of Natural Sciences
- 2008

A coupled system of three nonlinear oscillators with symmetric couplings is studied. It turns out that there exists a reduced variational equation to the in-phase periodic solution of such a coupled system. By the symmetry one establishes a structural property for the monodromy matrix of the reduced variational equation, which simplifies the computation of… (More)

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