积分方程的比较技术

Irish Mathematical Society Bulletin Pub Date : 1900-01-01 DOI:10.33232/bims.0042.54.71

M. Meehan, D. O’Regan

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引用次数: 0

摘要

利用第2节中(1:1)的结果，在第3节中提出了一种比较方法，该方法首先保证了解为2c [0;(1∶1)(T = 1)的T = h，等于等于T !1y (t)是存在的，它只允许我们读出这个极限是什么。用一些例子说明了这种方法。文中引用了Miller[9℄]的一个结果，该结果属于(1:1)的特例，并对其完整性进行了讨论。

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A comparison technique for integral equations

Using the results obtained for (1:1) in Se tion 2, a omparison te hnique is presented in Se tion 3 whi h rstly guarantees that the solution y 2 C[0; T ) of (1:1) (with T = 1), is su h that lim t!1 y(t) exists, and se ondly, allows us to read o what this limit is. The te hnique is illustrated with some examples. A result of Miller [9℄, whi h pertains to a spe ial ase of (1:1) is in luded and dis ussed for ompleteness.

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Irish Mathematical Society Bulletin

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