利用新的泛函不动点定理求一类非自治二阶差分方程的正解

IF 0.5 Q3 MATHEMATICS

Archivum Mathematicum Pub Date : 2022-01-01 DOI:10.5817/am2022-4-199

Lydia Bouchal, K. Mebarki, S. Georgiev

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引用次数: 0

摘要

．本文利用最近关于不动点指标的研究结果，给出了两个算子T + S和的泛函型不动点定理，其中I−T是Lipschitz可逆的，S是k集收缩的。利用不动点定理，建立了一类非自治二阶差分方程正解存在性的新结果。

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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Positive solutions for a class of non-autonomous second order difference equations via a new functional fixed point theorem

. In this paper, by using recent results on fixed point index, we develop a new fixed point theorem of functional type for the sum of two operators T + S where I − T is Lipschitz invertible and S a k -set contraction. This fixed point theorem is then used to establish a new result on the existence of positive solutions to a non-autonomous second order difference equation.

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来源期刊

Archivum Mathematicum MATHEMATICS-

CiteScore

0.70

自引率

16.70%

发文量

审稿时长

35 weeks

期刊介绍： Archivum Mathematicum is a mathematical journal which publishes exclusively scientific mathematical papers. The journal, founded in 1965, is published by the Department of Mathematics and Statistics of the Faculty of Science of Masaryk University. A review of each published paper appears in Mathematical Reviews and also in Zentralblatt für Mathematik. The journal is indexed by Scopus.