On the stability of nonautonomous binary dynamical systems of partial differential equations

Salvatore Rionero

Abstract


Nonlinear nonautonomoua binary reaction-diffusion dynamical systems of partial differential equations (PDE) are considered. Stability criteria - via a nonautonomous L²-energy - are obtained. Applications to nonautonomous Lotka-volterra systems of PDEs and to “preys” struggle for the life, are furnished.

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DOI: http://dx.doi.org/10.1478/AAPP.91S1A17