Asymptotic stability of solutions for some classes of impulsive differential equations with distributed delay
| Autor: | Paola Rubbioni |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
Population dynamics
Asymptotic stability Differential equation Population Banach space Functional delay 01 natural sciences Impulsive problems Exponential stability Applied mathematics 0101 mathematics education Parametric statistics Mathematics education.field_of_study Applied Mathematics 010102 general mathematics Asymptotic stability Impulsive problems Functional delay Population dynamics Gronwall–Bellmann inequality Semilinear differential equations General Engineering General Medicine 010101 applied mathematics Computational Mathematics General Economics Econometrics and Finance Analysis Gronwall–Bellmann inequality Semilinear differential equations |
| Zdroj: | Nonlinear Analysis: Real World Applications. 61:103324 |
| ISSN: | 1468-1218 |
| DOI: | 10.1016/j.nonrwa.2021.103324 |
| Popis: | In this paper we show the asymptotic stability of the solutions of some differential equations with delay and subject to impulses. After proving the existence of mild solutions on the half-line, we give a Gronwall–Bellman-type theorem. These results are prodromes of the theorem on the asymptotic stability of the mild solutions to a semilinear differential equation with functional delay and impulses in Banach spaces and of its application to a parametric differential equation driving a population dynamics model. |
| Databáze: | OpenAIRE |
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