On order covering maps in ordered spaces and Chaplygin-type inequalities
On order covering maps in ordered spaces and Chaplygin-type inequalities
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关于有序空间中的有序覆盖图和 Chaplygin 型不等式
DOI：
10.1090/spmj/1530
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发表时间：
2018
期刊：
影响因子：
--
通讯作者：
E. Zhukovskiy
中科院分区：
文献类型：
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作者：
E. Zhukovskiy
偏序空间中覆盖映射的研究，由AV Arutyskiy，ES茹科夫斯基和SE茹科夫斯基（见拓扑学及其应用）开始。2015年，第179号，继续。一组顺序覆盖的定义，这一套是调查的Nemytskiffi运营商在空间中的基本上有界的可测功能。本文讨论了第二个变量中有反调的方程。利用第一变元的序覆盖集，得到了解的存在性、估计和下解的存在性定理。将这些结果应用于一个隐式积分方程，得到了关于Chaobugin型积分不等式的某些结论。引用
The study of covering mappings in partially ordered spaces, started by AV Arutyunov, ES Zhukovskiy, and SE Zhukovskiy (see Topology and its Applications. 2015, v. 179, no. 1) is continued. A set of order covering is defined; this set is investigated for the Nemytskiĭ operator in the space of essentially bounded measurable functions. The equationis treated, whereis antitonic in the second variable. In terms of the set of order covering forin the first variable, a theorem is obtained on the existence of solutions, on their estimates, and on the existence of a lower solution. These results are applied to an implicit integral equation, and certain statements on Chaplygin-type integral inequalities are obtained. References