Covering mappings and well-posedness of nonlinear Volterra equations

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. © 2011 Elsevier Ltd. All rights reserved.

Authors
Arutyunov A.V. 1 , Zhukovskiy E.S.2 , Zhukovskiy S.E. 1
Journal
Nonlinear Analysis, Theory, Methods and Applications
Publisher
Elsevier Ltd
Number of issue
3
Language
English
Pages
1026-1044
Status
Published
Link
External link
DOI
10.1016/j.na.2011.03.038
Volume
75
Year
2012
Organizations
  • 1 Peoples' Friendship University of Russia, ul. Miklukho-Maklaya 6, 117198, Moscow, Russian Federation
  • 2 Tambov State University, ul. Internatsilonalnaya 33, 392000, Tambov, Russian Federation
Keywords
Covering mapping; Integral equation; Local solvability; Volterra operator; Well-posedness
Date of creation
19.10.2018
Date of change
19.10.2018
Short link
https://repository.rudn.ru/en/records/article/record/2358/
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