Open Access Editorial

Nonlocal boundary value problems

Daniel Franco1, Gennaro Infante2* and Feliz Manuel Minhós3

Author Affiliations

1 Departamento de Matemática Aplicada, Universidad Nacional de Educación a Distancia, (UNED), c/ Juan del Rosal 12, Madrid 28040, Spain

2 Dipartimento di Matematica, Università della Calabria, 87036 Arcavacata di Rende, Cosenza, Italy

3 Department of Mathematics, University of Évora, Rua Romão Ramalho, 59, 7000-671, Évora, Portugal

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Boundary Value Problems 2012, 2012:23  doi:10.1186/1687-2770-2012-23

Published: 24 February 2012

First paragraph (this article has no abstract)

In the last decades, nonlocal boundary value problems have become a rapidly growing area of research. The study of this type of problems is driven not only by a theoretical interest, but also by the fact that several phenomena in engineering, physics and life sciences can be modelled in this way. For example, problems with feedback controls such as the steady-states of a thermostat, where a controller at one of its ends adds or removes heat, depending upon the temperature registered in another point, can be interpreted with a second-order ordinary differential equation subject to a three-point boundary condition.