A Majorant Criterion for the Total Preservation of Global Solvability of Controlled Functional Operator Equation

被引：22
作者：
Chernov, A. V. [1 ]
机构：
[1] Nizhnii Novgorod State Univ, Pr Gagarina 23, Nizhnii Novgorod 603950, Russia
来源：
RUSSIAN MATHEMATICS | 2011年 / 55卷 / 03期
基金：
俄罗斯基础研究基金会;
关键词：
total preservation of global solvability; functional operator equation; majorant equation; uniqueness theorem;
D O I：
10.3103/S1066369X11030108
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove the unique solvability of a nonlinear controlled functional operator equation in a Banach ideal space. We also establish sufficient conditions for the global solvability of all controls from a pointwise bounded set, provided that some majorant equation for the given family of these controls is globally solvable. We give examples of controlled boundary value problems reducible to the considered equation.
引用
收藏
页码：85 / 95
页数：11
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