PreprintArticleVersion 1Preserved in Portico This version is not peer-reviewed
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
Version 1
: Received: 8 July 2024 / Approved: 9 July 2024 / Online: 9 July 2024 (13:38:13 CEST)
How to cite:
Sousa, R. D.; Fernandes, M. A. D. S. M. 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. Preprints2024, 2024070748. https://doi.org/10.20944/preprints202407.0748.v1
Sousa, R. D.; Fernandes, M. A. D. S. M. 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. Preprints 2024, 2024070748. https://doi.org/10.20944/preprints202407.0748.v1
Sousa, R. D.; Fernandes, M. A. D. S. M. 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. Preprints2024, 2024070748. https://doi.org/10.20944/preprints202407.0748.v1
APA Style
Sousa, R. D., & Fernandes, M. A. D. S. M. (2024). 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. Preprints. https://doi.org/10.20944/preprints202407.0748.v1
Chicago/Turabian Style
Sousa, R. D. and Marco António de Sales Monteiro Fernandes. 2024 "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" Preprints. https://doi.org/10.20944/preprints202407.0748.v1
Abstract
This work considers the existence of heteroclinic solutions for second order differential equations with ϕ-Laplacians and generalized impulsive conditions on the real line. For the construction of the results, it was only imposed that ϕ is a homeomorphism and the Schauder’s fixed point theorem allied with the concepts of L1-Carathéodory functions and sequences together with the equiconvergence on infinity and on each impulsive moments. Finally, a practical part illustrates the main theorem.
Keywords
Heteroclinic solutions; L1-Carathéodory functions and sequences; equiconvergence at infinity and at the impulsive points
Subject
Computer Science and Mathematics, Applied Mathematics
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
