摘要
本文用上下解方法结合特征线理论讨论了形如 U_t+f(t,x)U_x=g(t,x,u,Tu) u(0,x)=u(2π,x) (1)的一阶偏微分积分方程解的存在性与唯一性,进而用双边迭代的方法给出其求解的程序。
Applies the method of upper and Low Solution Combing theory of Characteristic Curve, theauthor discusses the existence and Uniqueness of solution of a first order partial differential inte-gral equation of following: U_1+F (t, x )U_x=g (t, x, u, Tu) U (0, x ) = U (2π, x ) The solving process is given by bilateral iterative method
关键词
积分微分方程
周期边值问题
Characteristic Curve
bilateral iterative method
Modified functiosl
