多维积分方程中的逆GREEN函数法
pplication of inverse method of Green function in multidimensional integral equations
逆Green函数法推广到多维积分方程。逆Green函数法可用于某些多维积分方程化为同解的偏微分方程的定解问题。在这些定解问题可求解的情形下,提供了一类Fredholm-Ⅱ型多维积分方程的一种解法。
In this paper the application inverse method of Green function is extended to multidimensional integral equations.If the kernel of the integral equations is a Green function,the integral equation transfer the problem for determining solution of the partial differential equation.Their solutions and the solutions of relevant integel equation are the same.If the problem for determining solution is soluble,inverse method of Green function provides a soluble method of some integral equations.
何众琦
数学
积分方程逆Green函数法多维Fredhoim-Ⅱ型积分方程偏微分方程的定解问题同解
integral equationinverse method of Green functionmultidimensional Fredhoim-II integral equationproblem for determining solution of partial differential equationsame solution.
何众琦.多维积分方程中的逆GREEN函数法[EB/OL].(2020-12-29)[2025-08-16].http://www.paper.edu.cn/releasepaper/content/202012-109.点此复制
评论