Existence result for impulsive coupled systems on the half-line

2017/06/30 by Feliz Minhós, Minhós, Feliz, Robert de Sousa +1
Mathematics · #34B15 #34B27 #34L30 #92B05 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #math.CA #msc:34B15 #msc:34B27 #msc:34L30 #msc:92B05

paper · pdf · doi:10.48550/arxiv.1706.10248

To appear

arxiv created 2017/06/30 · arxiv updated 2017/07/03

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, L¹1-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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