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Existence result for impulsive coupled systems on the half-line

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Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas Aims and scope Submit manuscript

Abstract

This work considers a second order impulsive coupled system of differential equations with generalized jump conditions in half-line, which can depend on the impulses of the unknown functions and their first derivatives. The arguments apply the fixed point theory, Green’s functions technique, \(L^{1}\)-Carathéodory functions and sequences and Schauder’s fixed point theorem. The method is based on Carathéodory concept of functions and sequences, together with the equiconvergence on infinity and on each impulsive moment, and it allows to consider coupled fully nonlinearities and very general impulsive functions.

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Authors and Affiliations

  1. Departamento de Matemática, Escola de Ciências e Tecnologia, Centro de Investigação em Matemática e Aplicaçõ es (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. Existence result for impulsive coupled systems on the half-line. RACSAM 113, 917–930 (2019). https://doi.org/10.1007/s13398-018-0526-8

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  • DOI: https://doi.org/10.1007/s13398-018-0526-8

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