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Keywords = impulsive points equiconvergence and equiconvergence at infinity

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18 pages, 315 KB  
Article
Existence of Heteroclinic Solutions in Nonlinear Differential Equations of the Second-Order Incorporating Generalized Impulse Effects with the Possibility of Application to Bird Population Growth
by Robert de Sousa and Marco António de Sales Monteiro Fernandes
AppliedMath 2024, 4(3), 1047-1064; https://doi.org/10.3390/appliedmath4030056 - 27 Aug 2024
Viewed by 2242
Abstract
This work considers the existence of solutions of the heteroclinic type in nonlinear second-order differential equations with ϕ-Laplacians, incorporating generalized impulsive conditions on the real line. For the construction of the results, it was only imposed that ϕ be a homeomorphism, using [...] Read more.
This work considers the existence of solutions of the heteroclinic type in nonlinear second-order differential equations with ϕ-Laplacians, incorporating generalized impulsive conditions on the real line. For the construction of the results, it was only imposed that ϕ be a homeomorphism, using Schauder’s fixed-point theorem, coupled with concepts of L1-Carathéodory sequences and functions along with impulsive points equiconvergence and equiconvergence at infinity. Finally, a practical part illustrates the main theorem and a possible application to bird population growth. Full article
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