Existence and multiplicity results for first-order Stieltjes differential equations
In this article, we establish existence and multiplicity results for first-order Stieltjes differential equations satisfying a periodic boundary condition or an initial value condition. No monotonicity condition involving the right-hand side ff is imposed at the discontinuity points of the derivator...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2022-12-01
|
| Series: | Advanced Nonlinear Studies |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/ans-2022-0038 |
| _version_ | 1797947612580544512 |
|---|---|
| author | Maia Lamiae El Khattabi Noha Frigon Marlène |
| author_facet | Maia Lamiae El Khattabi Noha Frigon Marlène |
| author_sort | Maia Lamiae |
| collection | DOAJ |
| description | In this article, we establish existence and multiplicity results for first-order Stieltjes differential equations satisfying a periodic boundary condition or an initial value condition. No monotonicity condition involving the right-hand side ff is imposed at the discontinuity points of the derivator gg. Our results rely on the fixed point index theory and new notions of strict lower and upper solutions. An application to a population model with an extreme event is presented to study the persistence of a species. |
| first_indexed | 2024-04-10T21:30:39Z |
| format | Article |
| id | doaj.art-8436cfa5c30941cbbc6e9de083f67244 |
| institution | Directory Open Access Journal |
| issn | 2169-0375 |
| language | English |
| last_indexed | 2024-04-10T21:30:39Z |
| publishDate | 2022-12-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Advanced Nonlinear Studies |
| spelling | doaj.art-8436cfa5c30941cbbc6e9de083f672442023-01-19T13:43:58ZengDe GruyterAdvanced Nonlinear Studies2169-03752022-12-0122168471010.1515/ans-2022-0038Existence and multiplicity results for first-order Stieltjes differential equationsMaia Lamiae0El Khattabi Noha1Frigon Marlène2Department of Mathematics, LAMA Laboratory, Faculty of Sciences, Mohammed 5 University in Rabat, Rabat, MoroccoDepartment of Mathematics, LAMA Laboratory, Faculty of Sciences, Mohammed 5 University in Rabat, Rabat, MoroccoDepartment of Mathematics and Statistics, University of Montreal, Montreal, H3C 3J7, CanadaIn this article, we establish existence and multiplicity results for first-order Stieltjes differential equations satisfying a periodic boundary condition or an initial value condition. No monotonicity condition involving the right-hand side ff is imposed at the discontinuity points of the derivator gg. Our results rely on the fixed point index theory and new notions of strict lower and upper solutions. An application to a population model with an extreme event is presented to study the persistence of a species.https://doi.org/10.1515/ans-2022-0038stieltjes differential equationsperiodic boundary conditionsinitial value problemslower and upper solutionsstrict lower and upper solutionsmultiple solutionsprimary 34a06secondary 34b1534b6034a36 |
| spellingShingle | Maia Lamiae El Khattabi Noha Frigon Marlène Existence and multiplicity results for first-order Stieltjes differential equations Advanced Nonlinear Studies stieltjes differential equations periodic boundary conditions initial value problems lower and upper solutions strict lower and upper solutions multiple solutions primary 34a06 secondary 34b15 34b60 34a36 |
| title | Existence and multiplicity results for first-order Stieltjes differential equations |
| title_full | Existence and multiplicity results for first-order Stieltjes differential equations |
| title_fullStr | Existence and multiplicity results for first-order Stieltjes differential equations |
| title_full_unstemmed | Existence and multiplicity results for first-order Stieltjes differential equations |
| title_short | Existence and multiplicity results for first-order Stieltjes differential equations |
| title_sort | existence and multiplicity results for first order stieltjes differential equations |
| topic | stieltjes differential equations periodic boundary conditions initial value problems lower and upper solutions strict lower and upper solutions multiple solutions primary 34a06 secondary 34b15 34b60 34a36 |
| url | https://doi.org/10.1515/ans-2022-0038 |
| work_keys_str_mv | AT maialamiae existenceandmultiplicityresultsforfirstorderstieltjesdifferentialequations AT elkhattabinoha existenceandmultiplicityresultsforfirstorderstieltjesdifferentialequations AT frigonmarlene existenceandmultiplicityresultsforfirstorderstieltjesdifferentialequations |