Galerkin-averaging method for weakly nonlinear equations

被引：0

作者：

Department of Mathematical Analysis, Comenius University, Mlynska dolina, SR 842 15 Bratislava, Slovakia ^{[1
]}

机构：

来源：

Nonlinear Analysis, Theory, Methods and Applications | 2000年 / 41卷 / 03期

关键词：

Approximation theory - Asymptotic stability - Boundary conditions - Convergence of numerical methods - Difference equations - Error analysis - Galerkin methods - Integrodifferential equations - Mathematical operators;

D O I：

10.1016/S0362-546X(98)00281-8

中图分类号：

学科分类号：

摘要：

The Galerkin approximation method and the asymptotic-averaging are combined. For this purpose, results for semilinear difference equations with small parameters satisfying certain properties are abstracted. As a result, it is possible to focus on broader variety of nonlinear equations like delay integro-differential equations and semilinear Schrodinger equations.

引用

页码：345 / 369