Application of the Leray-Schauder Principle to the Analysis of a Nonlinear Integral Equation

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. © 2019, Pleiades Publishing, Ltd.

Authors
Nikolaev M.V.1 , Nikitin A.A. 1, 2
Journal
Differential Equations
Number of issue
9
Language
English
Pages
1164-1173
Status
Published
Link
External link
DOI
10.1134/S0012266119090052
Volume
55
Year
2019
Organizations
  • 1 Lomonosov Moscow State University, Moscow, 119991, Russian Federation
  • 2 RUDN University, Moscow, 117198, Russian Federation
Date of creation
24.12.2019
Date of change
24.12.2019
Short link
https://repository.rudn.ru/en/records/article/record/55046/
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