Conditions for periodic vibrations in a symmetric n-string

Claude Gauthier

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A note on rapid convergence of approximate solutions for second order periodic boundary value problems

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In this paper, we develop a generalized quasilinearization technique for a nonlinear second order periodic boundary value problem and obtain a sequence of approximate solutions converging uniformly and quadratically to a solution of the problem. Then we improve the convergence of the sequence of approximate solutions by establishing the convergence of order $k$ $(k \geq 2)$ .