Covering mappings and well-posedness of nonlinear Volterra equations

被引：25

作者：

Arutyunov, A. V. ^{[1
]}

Zhukovskiy, E. S. ^{[2
]}

Zhukovskiy, S. E. ^{[1
]}

机构：

[1] Peoples Friendship Univ Russia, Moscow 117198, Russia

[2] Tambov State Univ, Tambov 392000, Russia

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2012年 / 75卷 / 03期

关键词：

Covering mapping; Volterra operator; Integral equation; Local solvability; Well-posedness;

D O I：

10.1016/j.na.2011.03.038

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The statements on solvability, solution estimates, and well-posedness of equations with conditionally covering mappings are proved. The results obtained are applied to the investigation of Volterra equations (including integral equations) unsolved for the unknown function. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：1026 / 1044

页数：19

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