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  • 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)
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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