Functional Coupled Systems with Generalized Impulsive Conditions and Application to a SIRS-Type Model
In this paper, we consider a first-order coupled impulsive system of equations with functional boundary conditions, subject to the generalized impulsive effects. It is pointed out that this problem generalizes the classical boundary assumptions, allowing two-point or multipoint conditions, nonlocal...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2021/3758274 |
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| _version_ | 1832560508340797440 |
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| author | Feliz Minhós Rui Carapinha |
| author_facet | Feliz Minhós Rui Carapinha |
| author_sort | Feliz Minhós |
| collection | DOAJ |
| description | In this paper, we consider a first-order coupled impulsive system of equations with functional boundary conditions, subject to the generalized impulsive effects. It is pointed out that this problem generalizes the classical boundary assumptions, allowing two-point or multipoint conditions, nonlocal and integrodifferential ones, or global arguments, as maxima or minima, among others. Our method is based on lower and upper solution technique together with the fixed point theory. The main theorem is applied to a SIRS model where to the best of our knowledge, for the first time, it includes impulsive effects combined with global, local, and the asymptotic behavior of the unknown functions. |
| format | Article |
| id | doaj-art-20c0e1c014b74328b974fa002d128b66 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-20c0e1c014b74328b974fa002d128b662025-02-03T01:27:21ZengWileyJournal of Function Spaces2314-88962314-88882021-01-01202110.1155/2021/37582743758274Functional Coupled Systems with Generalized Impulsive Conditions and Application to a SIRS-Type ModelFeliz Minhós0Rui Carapinha1Department of Mathematics, School of Science and Technology, University of Évora, Rua Romão Ramalho, 59 7000-671 Évora, PortugalResearch Center in Mathematics and Applications (CIMA), Research Institute of Advanced Training (IIFA), University of Évora, Rua Romão Ramalho, 59 7000-671 Évora, PortugalIn this paper, we consider a first-order coupled impulsive system of equations with functional boundary conditions, subject to the generalized impulsive effects. It is pointed out that this problem generalizes the classical boundary assumptions, allowing two-point or multipoint conditions, nonlocal and integrodifferential ones, or global arguments, as maxima or minima, among others. Our method is based on lower and upper solution technique together with the fixed point theory. The main theorem is applied to a SIRS model where to the best of our knowledge, for the first time, it includes impulsive effects combined with global, local, and the asymptotic behavior of the unknown functions.http://dx.doi.org/10.1155/2021/3758274 |
| spellingShingle | Feliz Minhós Rui Carapinha Functional Coupled Systems with Generalized Impulsive Conditions and Application to a SIRS-Type Model Journal of Function Spaces |
| title | Functional Coupled Systems with Generalized Impulsive Conditions and Application to a SIRS-Type Model |
| title_full | Functional Coupled Systems with Generalized Impulsive Conditions and Application to a SIRS-Type Model |
| title_fullStr | Functional Coupled Systems with Generalized Impulsive Conditions and Application to a SIRS-Type Model |
| title_full_unstemmed | Functional Coupled Systems with Generalized Impulsive Conditions and Application to a SIRS-Type Model |
| title_short | Functional Coupled Systems with Generalized Impulsive Conditions and Application to a SIRS-Type Model |
| title_sort | functional coupled systems with generalized impulsive conditions and application to a sirs type model |
| url | http://dx.doi.org/10.1155/2021/3758274 |
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