Hereditary Evolution Processes Under Impulsive Effects

In 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 Cauch...

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Bibliographic Details
Published inMediterranean journal of mathematics Vol. 18; no. 3
Main Authors Cardinali, Tiziana, Rubbioni, Paola
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 01.06.2021
Springer Nature B.V
Subjects
Cauchy problems
Differential equations
Mathematics
Mathematics and Statistics
Primary 34K30
Semilinear differential equations
reaction–diffusion equations
impulsive problems
Secondary 92D25
34K45
35K57
functional delay
population dynamics
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Summary:In 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.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
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content type line 14
ISSN:1660-5446
1660-5454
DOI:10.1007/s00009-021-01730-8