一类hammerstein - nemytski型非线性积分方程在全轴上的正解

Q2 Mathematics

Transactions of the Moscow Mathematical Society Pub Date : 2014-11-04 DOI:10.1090/S0077-1554-2014-00226-0

K. Khachatryan

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摘要

本文研究了非均匀介质传递理论中出现的一类全轴上的Hammerstein-Nemytskĭı型非线性积分方程。证明了这些方程在各种函数空间中都是可解的，并研究了所构造的解在无穷远处的渐近行为。§

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On positive solutions of one class of nonlinear integral equations of Hammerstein–Nemytskiĭ type on the whole axis

This paper is devoted to studying one class of nonlinear integral equations of Hammerstein–Nemytskĭı type on the whole axis, which occurs in the theory of transfer in inhomogeneous medium. It is proved that these equations can be solved in various function spaces, and the asymptotic behaviour at infinity of the solutions that are constructed is studied. §

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来源期刊

Transactions of the Moscow Mathematical Society Mathematics-Mathematics (miscellaneous)

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期刊介绍： This journal, a translation of Trudy Moskovskogo Matematicheskogo Obshchestva, contains the results of original research in pure mathematics.