On Quasiperiodic Exact and Approximate Solutions of Differential Difference Equations

概要

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An existence theorem is given in this paper concerning nonlinear quasiperiodic differential difference equations. it says that one can always assure the existence of an exact quasiperiodic solution by checking several conditions on an obtained approximate solution and further it gives a method to obtain an error bound of the approximate solution. Finally we show the Garelkin's procedure for obtaining quasiperiodic approximate solutions and give a numerical example to apply our main theorem.
山梨大学の論文