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

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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.

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Authors and Affiliations

  1. Departamento de Matemática, Escola de Ciências e Tecnologia, Centro de Investigação em Matemática e Aplicações (CIMA), Instituto de Investigação e Formação Avançada, Universidade de Évora, Rua Romão Ramalho, 59, 7000-671, Évora, Portugal

    Feliz Minhós

  2. Faculdade de Ciências e Tecnologia, Núcleo de Matemática e Aplicações (NUMAT), Universidade de Cabo Verde, Campus de Palmarejo, 279, Praia, Cabo Verde

    Robert de Sousa

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  1. Feliz Minhós
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  2. Robert de Sousa
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Correspondence to Robert de Sousa.

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Minhós, F., de Sousa, R. Localization Results for Impulsive Second Order Coupled Systems on the Half-Line and Application to Logging Timber by Helicopter. Acta Appl Math 159, 119–137 (2019). https://doi.org/10.1007/s10440-018-0187-9

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  • DOI: https://doi.org/10.1007/s10440-018-0187-9

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