Utilize este identificador para referenciar este registo:
https://hdl.handle.net/1822/61428
Título: | Existence of positive periodic solutions for scalar delay differential equations with and without impulses |
Autor(es): | Faria, Teresa Oliveira, José J. |
Palavras-chave: | Delay differential equation Impulses Positive periodic solution Fixed point theorems Hematopoiesis model Nicholson equation |
Data: | Set-2019 |
Editora: | Springer |
Revista: | Journal of Dynamics and Differential Equations |
Resumo(s): | The paper is concerned with a broad family of scalar periodic delay differential equations with linear impulses, forwhich the existence of a positive periodic solution is established under very general conditions. The proofs rely on fixed point arguments, employing either the Schauder theorem or Krasnoselskii fixed point theorem in cones. The results are illustrated with applications to an impulsive hematopoiesis model or generalized Nicholson’s equations, among other selected examples from mathematical biology. The method presented here turns out to be very powerful, in the sense that the derived theorems largely generalize and improve other results in recent literature, even for the situation without impulses. |
Tipo: | Artigo |
URI: | https://hdl.handle.net/1822/61428 |
DOI: | 10.1007/s10884-017-9616-0 |
ISSN: | 1040-7294 |
e-ISSN: | 1572-9222 |
Versão da editora: | https://link.springer.com/article/10.1007/s10884-017-9616-0 |
Arbitragem científica: | yes |
Acesso: | Acesso aberto |
Aparece nas coleções: | CMAT - Artigos em revistas com arbitragem / Papers in peer review journals |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
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FarOliv_EXISTperiod_JDDE.pdf | 284,99 kB | Adobe PDF | Ver/Abrir |