On the Existence and Uniqueness of a Solution of a Nonlinear Integral Equation

On the Existence and Uniqueness of a Solution of a Nonlinear Integral Equation

A nonlinear integral equation arising in the spatial model of biological communities developed by Austrian scientists Ulf Dieckmann and Richard Law is studied. Sufficient conditions for the existence of a solution of this equation (a fixed point of the integral operator) are found. The uniqueness of...

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Veröffentlicht in:Doklady. Mathematics 2019-09, Vol.100 (2), p.485-487
Hauptverfasser: Nikolaev, M. V., Nikitin, A. A.
Format: Artikel
Sprache:eng
Schlagworte:
Economic models
Fixed points (mathematics)
Integral equations
Mathematics
Mathematics and Statistics
Operators (mathematics)
Uniqueness
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Zusammenfassung:A nonlinear integral equation arising in the spatial model of biological communities developed by Austrian scientists Ulf Dieckmann and Richard Law is studied. Sufficient conditions for the existence of a solution of this equation (a fixed point of the integral operator) are found. The uniqueness of the solution is also analyzed.
ISSN:1064-5624
1531-8362
DOI:10.1134/S1064562419050247