On a Mellin transform technique for the asymptotic solution of a nonlinear Volterra integral equation

On a Mellin transform technique for the asymptotic solution of a nonlinear Volterra integral equation
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DOI：
10.1098/rspa.1977.0003
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发表时间：
1977-01
期刊：
Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences
影响因子：
--
通讯作者：
V. M. Trivedi;I. J. Kumar
V. M. Trivedi;I. J. Kumar
中科院分区：
其他
文献类型：
--
作者：
V. M. Trivedi;I. J. Kumar

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本文改进了Kumar（1971）提出的求解非线性沃尔泰拉积分方程渐近解的Mellin变换技巧。本技术的应用使得有可能得到任意数量的条款的渐近解的大值的参数。最后给出了具体的算例。
A Mellin transform technique for the asymptotic solution of a nonlinear Volterra integral equation presented earlier by Kumar (1971) has been improved upon in the present paper. The application of the present technique makes it possible to get an arbitrary number of terms in the asymptotic solution for large values of argument. An example has been worked out in detail.