We study the existence of non-trivial, non-negative periodic solutions for systems of singular-degenerate parabolic equations with nonlocal terms and satisfying Dirichlet boundary conditions. The method employed in this paper is based on the Leray-Schauder topological degree theory. However, verifying the conditions under which such a theory applies is more involved due to the presence of the singularity. The system can be regarded as a possible model of the interactions of two biological species sharing the same isolated territory, and our results give conditions that ensure the coexistence of the two species.

Fragnelli, G., Mugnai, D., Nistri, P., Papini, D. (2015). Nontrivial, nonnegative periodic solutions of a system of singular-degenerate parabolic equations with nonlocal terms. COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 17(2) [10.1142/S0219199714500254].

Nontrivial, nonnegative periodic solutions of a system of singular-degenerate parabolic equations with nonlocal terms

Nistri, Paolo;Papini, Duccio
2015-01-01

Abstract

We study the existence of non-trivial, non-negative periodic solutions for systems of singular-degenerate parabolic equations with nonlocal terms and satisfying Dirichlet boundary conditions. The method employed in this paper is based on the Leray-Schauder topological degree theory. However, verifying the conditions under which such a theory applies is more involved due to the presence of the singularity. The system can be regarded as a possible model of the interactions of two biological species sharing the same isolated territory, and our results give conditions that ensure the coexistence of the two species.
Fragnelli, G., Mugnai, D., Nistri, P., Papini, D. (2015). Nontrivial, nonnegative periodic solutions of a system of singular-degenerate parabolic equations with nonlocal terms. COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 17(2) [10.1142/S0219199714500254].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11365/983718