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

Fragnelli, Genni; Mugnai, Dimitri; Nistri, Paolo; PAPINI, Duccio

doi:10.1142/S0219199714500254

CINECA IRIS Institutional Research Information System

IRIS è la piattaforma adottata dall’Università degli Studi di Udine per gestire l’archivio aperto dei prodotti della ricerca. L’archivio contiene articoli, contributi in volume, monografie, interventi pubblicati in atti di convegno, Tesi di dottorato e altri materiali.

We study the existence of nontrivial, nonnegative 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.

Titolo:	Nontrivial, nonnegative periodic solutions of a system of singular-degenerate parabolic equations with nonlocal terms
Autori:	Fragnelli, Genni Mugnai, Dimitri Nistri, Paolo PAPINI, Duccio mostra contributor esterni nascondi contributor esterni
Data di pubblicazione:	2015
Rivista:	COMMUNICATIONS IN CONTEMPORARY MATHEMATICS
Abstract:	We study the existence of nontrivial, nonnegative 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.
Handle:	http://hdl.handle.net/11390/1070064
Appare nelle tipologie:	1.1 Articolo in rivista

File in questo prodotto:

File	Descrizione	Tipologia	Licenza
FraMuNiPa_CCM_final.pdf		Documento in Post-print		Open Access Visualizza/Apri

Utilizza questo identificativo per citare o creare un link a questo documento:
http://hdl.handle.net/11390/1070064

Citazioni

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.