Existence and multiplicity results for first-order Stieltjes differential equations-Reference-Cited by-同舟云学术

Existence and multiplicity results for first-order Stieltjes differential equations

Published:2022-01-01 Issue:1 Volume:22 Page:684-710
ISSN:2169-0375
Container-title:Advanced Nonlinear Studies
language:en
Short-container-title:

Author:

Maia Lamiae¹,El Khattabi Noha¹,Frigon Marlène²

Affiliation:

1. Department of Mathematics, LAMA Laboratory, Faculty of Sciences, Mohammed 5 University in Rabat , Rabat , Morocco

2. Department of Mathematics and Statistics, University of Montreal , Montreal , H3C 3J7 , Canada

Abstract

Abstract 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

is imposed at the discontinuity points of the derivator

. 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.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics,Statistical and Nonlinear Physics

Link

https://www.degruyter.com/document/doi/10.1515/ans-2022-0038/pdf

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