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Acta Applicandae Mathematicae

, Volume 159, Issue 1, pp 119–137 | Cite as

Localization Results for Impulsive Second Order Coupled Systems on the Half-Line and Application to Logging Timber by Helicopter

  • Feliz Minhós
  • Robert de SousaEmail author
Article
  • 32 Downloads

Abstract

This work considers two types of a second order impulsive coupled system of differential equations with generalized jump conditions in half-line. For both problems it will be presented two localization results with different monotonicity assumptions on the nonlinearities and on the impulsive conditions.

The arguments apply lower and upper solutions method combined with Nagumo type condition and truncature techniques.

Last section contains an applications of one of this impulsive problems to logging timber by helicopter.

Keywords

Coupled systems \(L^{1}\)-Carathéodory functions and sequences Green’s functions Equiconvergence at infinity and at the impulsive points Lower and upper solutions Truncature technique Half-line 

Mathematics Subject Classification

34B15 34B27 34L30 92B05 

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Copyright information

© Springer Nature B.V. 2018

Authors and Affiliations

  1. 1.Departamento de Matemática, Escola de Ciências e Tecnologia, Centro de Investigação em Matemática e Aplicações (CIMA), Instituto de Investigação e Formação AvançadaUniversidade de ÉvoraÉvoraPortugal
  2. 2.Faculdade de Ciências e Tecnologia, Núcleo de Matemática e Aplicações (NUMAT)Universidade de Cabo VerdePraiaCabo Verde

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