Hereditary Evolution Processes Under Impulsive Effects

Author:

Cardinali TizianaORCID,Rubbioni PaolaORCID

Abstract

AbstractIn this note, we deal with a model of population dynamics with memory effects subject to instantaneous external actions. We interpret the model as an impulsive Cauchy problem driven by a semilinear differential equation with functional delay. The existence of delayed impulsive solutions to the Cauchy problem leads to the presence of hereditary impulsive dynamics for the model. Furthermore, using the same procedure we study a nonlinear reaction–diffusion model.

Funder

Gruppo Nazionale per l’Analisi Matematica, la Probabilità e le loro Applicazioni

Università degli Studi di Perugia

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

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