Global existence of solutions to nonlinear Volterra integral equations

A new method is given for proving the global existence of the solution to nonlinear Volterra integral equations. A bound on the solution is derived. The results are based on a nonlinear inequality proved by the author earlier.

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Bibliographic Details
Published in:Journal of applied analysis 2019-06, Vol.25 (1), p.45-47
Main Author: Ramm, Alexander G.
Format: Article
Language:English
Subjects:
45D05
45G10
Mathematical analysis
Nonlinear Volterra integral equations
Volterra integral equations
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Description
Summary:A new method is given for proving the global existence of the solution to nonlinear Volterra integral equations. A bound on the solution is derived. The results are based on a nonlinear inequality proved by the author earlier.
ISSN:1425-6908
1869-6082
DOI:10.1515/jaa-2019-0005