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Title: Localization results for impulsive second order coupled systems on the half-line and application to logging timber by helicopter
Authors: Minhós, Feliz
Keywords: Impulsive coupled systems
L¹-Carathéodory functions
Schauder's fixed-point theorem
elastically coupled double-string system
Issue Date: 2019
Publisher: Springer Netherlands
Citation: Minhós, F. & de Sousa, R. Acta Appl Math 2019, Volume 159, Issue 1, pp 119–137.
Abstract: This work considers a second order impulsive coupled system with full nonlinearities, generalized impulse functions and mixed boundary conditions. This is the first time where such coupled systems are considered with nonlinearities with dependence on both unknown functions and their derivatives, together impulsive functions given by more general framework allowing jumps on the both functions and both derivatives The arguments apply the fixed point theory, Green's functions technique, L¹-Carathéodory functions theory and Schauder's fixed point theorem. An application to the transverse vibration system of elastically coupled double-string is presented in last section.
ISSN: Online ISSN 1572-9036
Print ISSN 0167-8019
Type: article
Appears in Collections:MAT - Publicações - Artigos em Revistas Internacionais Com Arbitragem Científica
CIMA - Publicações - Artigos em Revistas Internacionais Com Arbitragem Científica

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