Application of the Leray-Schauder Principle to the Analysis of a Nonlinear Integral Equation
- Авторлар: Nikolaev M.V.1, Nikitin A.A.1,2
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Мекемелер:
- Lomonosov Moscow State University
- RUDN University
- Шығарылым: Том 55, № 9 (2019)
- Беттер: 1164-1173
- Бөлім: Integral and Integro-Differential Equations
- URL: https://journals.rcsi.science/0012-2661/article/view/155201
- DOI: https://doi.org/10.1134/S0012266119090052
- ID: 155201
Дәйексөз келтіру
Аннотация
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.
Авторлар туралы
M. Nikolaev
Lomonosov Moscow State University
Хат алмасуға жауапты Автор.
Email: nikolaev.mihail@inbox.ru
Ресей, Moscow, 119991
A. Nikitin
Lomonosov Moscow State University; RUDN University
Email: nikolaev.mihail@inbox.ru
Ресей, Moscow, 119991; Moscow, 117198
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