超奇异与多重超奇异积分方程求解的解析方法
Analytical methods for solution of hypersingular and polyhypersingular integral equations
AI总结：
本文提出一种将线性和非线性超奇异及多重超奇异积分方程分别转化为常微分方程和偏微分方程的方法，利用微分方程的求积法求解，从而获得多种该类积分方程的解析解。
摘要：
我们提出一种将线性和非线性超奇异积分方程转化为常微分方程的方法。线性和非线性多重超奇异积分方程被转化为偏微分方程。众所周知，许多类型的微分方程可用求积法求解。因此，我们能获得多种线性和非线性超奇异与多重超奇异积分方程的解析解。
英文摘要：
We propose a method for transformating linear and nonlinear hypersingular integral equations into ordinary differential equations. Linear and nonlinear polyhypersingular integral equations are transformed into partial differential equations. Well known that many types of differential equations can be solved in quadratures. So, we can receive analytical solutions for many types of linear and nonlinear hypersingular and polyhypersingular integral equations.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
