摘要
将 Copson法推广、应用于一般形式的对偶积分方程组的求解 .首先引入函数进行方程组变换 ,其次引入未知函数的积分变换实现退耦 .应用 Abel反演变换 ,使方程组正则化为 Fredholm第二类积分方程组 ,并由此给出对偶积分方程组的一般性解 .给出的解法和理论解 ,作为求解复杂的对偶积分方程组另一种有效的解法 ,可供求解复杂的数学、物理。
Based on Copson method, the dual integral equations of more general form is solved. The equations are transformed and decoupled via introduced function and the integral transformation of unknown function. Using Abel anti transformation, the equations are further reduced to the second kind of Fredholm canonical integral equations. The given theoretical solutions and solving method for the general solutions of dual integral equations provides a new reference for solving the complex problems with mixed boundary value in mathematics, physics, mechanics.
出处
《徐州师范大学学报（自然科学版）》
CAS
2001年第1期11-16,共6页
Journal of Xuzhou Normal University(Natural Science Edition)
基金
徐州师范大学工学院科研基金资助项目 !(2 0 0 0 JS-8
