Covering mappings and well-posedness of nonlinear Volterra equations

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.

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Veröffentlicht in:Nonlinear analysis 2012-02, Vol.75 (3), p.1026-1044
Hauptverfasser: Arutyunov, A.V., Zhukovskiy, E.S., Zhukovskiy, S.E.
Format: Artikel
Sprache:eng
Schlagworte:
Covering
Covering mapping
Estimates
Integral equation
Integral equations
Local solvability
Mapping
Mathematical analysis
Nonlinearity
Volterra equations
Volterra operator
Well-posedness
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Beschreibung
Zusammenfassung: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.
ISSN:0362-546X
1873-5215
DOI:10.1016/j.na.2011.03.038