Nonnegative solutions for a system of impulsive BVPs with nonlinear nonlocal BCs

Gennaro Infante; Paolamaria Pietramala

doi:10.15388/NA.2014.3.7

Articles

Gennaro Infante

Università della Calabria, Italy

Paolamaria Pietramala

Università della Calabria, Italy

Published 2014-10-30

https://doi.org/10.15388/NA.2014.3.7

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Keywords

fixed point index
cone
impulsive equation
system
positive solution

How to Cite

Infante, G. and Pietramala, P. (2014) “Nonnegative solutions for a system of impulsive BVPs with nonlinear nonlocal BCs”, Nonlinear Analysis: Modelling and Control, 19(3), pp. 413–431. doi:10.15388/NA.2014.3.7.

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Abstract

We study the existence of nonnegative solutions for a system of impulsive differential equations subject to nonlinear, nonlocal boundary conditions. The system presents a coupling in the differential equation and in the boundary conditions. The main tool that we use is the theory of fixed point index for compact maps.

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