Semi-linear impulsive higher order boundary value problems

Autor: Feliz Minhós, Rui Carapinha
Jazyk: angličtina
Rok vydání: 2020
Předmět:
Zdroj: Electronic Journal of Qualitative Theory of Differential Equations, Vol 2020, Iss 86, Pp 1-14 (2020)
Druh dokumentu: article
ISSN: 1417-3875
DOI: 10.14232/ejqtde.2020.1.86
Popis: This paper considers two-point higher order impulsive boundary value problems, with a strongly nonlinear fully differential equation with an increasing homeomorphism. It is stressed that the impulsive effects are defined by very general functions, that can depend on the unknown function and its derivatives, till order $n-1.$ The arguments are based on the lower and upper solutions method, together with Leray–Schauder fixed point theorem. An application, to estimate the bending of a one-sided clamped beam under some impulsive forces, is given in the last section.
Databáze: Directory of Open Access Journals