Hereditary Evolution Processes Under Impulsive Effects
| Autor: | Tiziana Cardinali, Paola Rubbioni |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
Cauchy problem
education.field_of_study Differential equation General Mathematics 010102 general mathematics Population Dynamics (mechanics) 01 natural sciences functional delay 010101 applied mathematics impulsive problems Nonlinear system reaction–diffusion equations Reaction–diffusion system population dynamics Initial value problem Applied mathematics 0101 mathematics education Semilinear differential equations Mathematics |
| Zdroj: | Mediterranean Journal of Mathematics. 18 |
| ISSN: | 1660-5454 1660-5446 |
| DOI: | 10.1007/s00009-021-01730-8 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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