日本応用数理学会論文誌
Online ISSN : 2424-0982
ISSN-L : 0917-2246
非線形差分微分方程式における準周期解の存在定理(理論)
篠原 康彰宮本 泉鈴木 智博栗原 光信
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2006 年 16 巻 2 号 p. 93-103

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In this research, we consider a quasiperiodic system of nonlinear differential difference equations. We prove a new theorem to solve these equations. It says that one can always assure the existence of quasiperiodic solution by checking several conditions on an obtained approximate solution and further give a method to obtain an error bound of the approximate solution. The approximate solutions are constructed by the method of Galerkin's procedure based on trigonometric polynomials. We carry out some numerical experiments using the method of Galerkin's procedure.
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© 2006 一般社団法人 日本応用数理学会
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