摘要
基于 Titchmarsh和 Busbridge求解对偶积分方程的解法 ,进行研究改进和推广 ,应用于更一般形式的复杂对偶积分方程组的求解 .通过积分变换 ,把实数域上的这种方程组 ,化成复数域上的一般函数方程组 ,并由此给出一般性的形式解 .经算例验证 ,解是真实解 .本文提供的求解复杂对偶积分方程组的方法 ,可供求解复杂的数学、物理、工程力学中的混合边值问题的参考 .
Based on the method of Titchmarsh [1] and Busbridge [2] for solving dual integral equations, improvement and generalization are made for solving complex and more general form of the equations. Changing the equations on real number field into the ones of general functions on complex number field by integral transform, a general solution is given. Checking computation shows that the solution is true. The method presented here for solving complex dual integral equations provides a reference for solving the problems of mixed boundary values in mathematics,physics and engineering mechanics.
出处
《徐州师范大学学报（自然科学版）》
2000年第3期6-12,共7页
Journal of Xuzhou Normal University(Natural Science Edition)
基金
徐州师范大学技术教育学院科研基金资助项目!( 2 0 0 0 -JS8)
