Galerkin's Procedure for Nonlinear Periodic Differential Difference Equations

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概要

• 論文の詳細を見る

• We study a system of nonlinear periodic differential difference equations and discuss the questions of existence, uniqueness and error estimation on approximate periodic solutions of the system obtained by the Galerkin's method based on trigonometric polynomials. At that time we introduce certain isolation conditions on periodic solutions of the system. Furthermore we prove an existence theorem for an exact periodic solution of the system with the isolation conditions in some neighborhood of a given approximate solution and give an example for the existence theorem. These results we obtained are analoguous to those by M. Urabe for nonlinear periodic differential equations.

• 山梨大学の論文

著者

• Kurihara Mitsunobu

  山梨大学工学部

• Chino Shinichi

  山梨大学工学部

関連論文

• Galerkin's Procedure for Quasiperiodic Differential Difference Equations
• Quasiperiodic Solutions of Quasiperiodic Differential Difference Equations
• On Quasiperiodic Exact and Approximate Solutions of Differential Difference Equations
• Galerkin's Procedure for Nonlinear Periodic Differential Difference Equations

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