Email this article Application of the Leray-Schauder Principle to the Analysis of a Nonlinear Integral Equation
- Authors: Nikolaev M.V.1, Nikitin A.A.1,2
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Affiliations:
- Lomonosov Moscow State University
- RUDN University
- Issue: Vol 55, No 9 (2019)
- Pages: 1164-1173
- Section: Integral and Integro-Differential Equations
- URL: https://journal-vniispk.ru/0012-2661/article/view/155201
- DOI: https://doi.org/10.1134/S0012266119090052
- ID: 155201
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Abstract
Abstrac
We study a nonlinear integral equation arising from the parametric closure for the third spatial moment in the Dieckmann-Law model of stationary biological communities. The existence of a fixed point of the integral operator defined by this equation is analyzed. The noncompactness of the resulting operator is proved. Conditions are stated under which the equation in question has a nontrivial solution.
About the authors
M. V. Nikolaev
Lomonosov Moscow State University
Author for correspondence.
Email: nikolaev.mihail@inbox.ru
Russian Federation, Moscow, 119991
A. A. Nikitin
Lomonosov Moscow State University; RUDN University
Email: nikolaev.mihail@inbox.ru
Russian Federation, Moscow, 119991; Moscow, 117198
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