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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| Published in | Mediterranean journal of mathematics Vol. 18; no. 3 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Cham
Springer International Publishing
01.06.2021
Springer Nature B.V |
| Subjects | |
| Online Access | Get full text |
| ISSN | 1660-5446 1660-5454 |
| DOI | 10.1007/s00009-021-01730-8 |
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| Abstract | 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. |
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| AbstractList | 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. |
| ArticleNumber | 91 |
| Author | Rubbioni, Paola Cardinali, Tiziana |
| Author_xml | – sequence: 1 givenname: Tiziana orcidid: 0000-0003-3802-8642 surname: Cardinali fullname: Cardinali, Tiziana organization: Department of Mathematics and Computer Science, University of Perugia – sequence: 2 givenname: Paola orcidid: 0000-0002-9433-345X surname: Rubbioni fullname: Rubbioni, Paola email: paola.rubbioni@unipg.it organization: Department of Mathematics and Computer Science, University of Perugia |
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| Cites_doi | 10.1080/00036811.2016.1227969 10.1016/j.jmaa.2004.11.049 10.1016/j.jmaa.2016.01.066 10.1007/978-1-4419-9158-4 10.1016/j.na.2007.05.001 10.1134/S0012266116100049 10.1007/s11228-018-0490-7 10.1088/0951-7715/29/3/823 10.1515/math-2017-0055 10.1016/j.amc.2018.10.083 |
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| Copyright | The Author(s) 2021 The Author(s) 2021. This work is published under http://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. |
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| References | Cardinali, Rubbioni (CR9) 2016; 438 Benedetti, Cardinali, Gabor, Rubbioni (CR2) 2019; 27 Cardinali, Rubbioni (CR10) 2019; 347 Kamenskii, Obukhovskii, Zecca (CR13) 2001 Cardinali, Rubbioni (CR7) 2005; 308 Malaguti, Rubbioni (CR15) 2016; 29 Denkowski, Migórski, Papageorgiou (CR11) 2003 Pazy (CR17) 1983 Burlicǎ, Necula, Roşu, Vrabie (CR5) 2016 O’Regan, Precup (CR16) 2001; 6 Appell (CR1) 2005; 6 CR12 Zhang, Li (CR18) 2017; 15 Cardinali, Portigiani, Rubbioni (CR6) 2008; 32 Cardinali, Rubbioni (CR8) 2008; 69 Benedetti, Rubbioni (CR3) 2008; 32 Kornev, Obukhovskii, Zecca (CR14) 2016; 52 Bungardi, Cardinali, Rubbioni (CR4) 2017; 96 Z Denkowski (1730_CR11) 2003 M Kamenskii (1730_CR13) 2001 I Benedetti (1730_CR3) 2008; 32 D O’Regan (1730_CR16) 2001; 6 I Benedetti (1730_CR2) 2019; 27 T Cardinali (1730_CR6) 2008; 32 T Cardinali (1730_CR7) 2005; 308 1730_CR12 SV Kornev (1730_CR14) 2016; 52 T Cardinali (1730_CR10) 2019; 347 A Pazy (1730_CR17) 1983 T Cardinali (1730_CR8) 2008; 69 M-D Burlicǎ (1730_CR5) 2016 J Appell (1730_CR1) 2005; 6 T Cardinali (1730_CR9) 2016; 438 L Malaguti (1730_CR15) 2016; 29 S Bungardi (1730_CR4) 2017; 96 X Zhang (1730_CR18) 2017; 15 |
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| SubjectTerms | Cauchy problems Differential equations Mathematics Mathematics and Statistics |
| Title | Hereditary Evolution Processes Under Impulsive Effects |
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