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.

Autor:	de Sousa, Robert, Fernandes, Marco António de Sales Monteiro
Předmět:	NONLINEAR differential equations POPULATION MACHINE learning DEEP learning ARTIFICIAL intelligence
Zdroj:	AppliedMath; Sep2024, Vol. 4 Issue 3, p1047-1064, 18p
Abstrakt:	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 L 1 -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. [ABSTRACT FROM AUTHOR]
Databáze:	Complementary Index
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