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New Trends on Nonlocal and Functional Boundary Value Problems

Call for Papers

In the last decades, boundary value problems (BVPs) with nonlocal and functional boundary conditions have become a rapidly growing area of research. The study of this type of problems has not only a theoretical interest, that includes a huge variety of differential, integrodifferential, and abstract equations, but is also motivated by the fact that these problems can be used as a model for several phenomena in engineering, physics, and life sciences that standard boundary conditions cannot describe. In this framework, fall 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, or phenomena with functional dependence in the equation and/or in the boundary conditions, with delays or advances, maximum or minimum arguments, such as beams where the maximum (minimum) of the detection is attained in some interior or end point of the beam. Topological and Functional Analysis tools, as, for example, degree theory, fixed point theorems or variational principles, have played a key role in the developing of this subject. This special issue fits within this line of research, as it aims to promote the exchange of ideas between researchers and to spread new trends in this area. It will focus on all aspects of nonlocal and functional BVPs, discrete and continuous equations, regular, singular, and resonant problems, and their applications, with special attention to new techniques from function spaces theory. Topics of interest include, but are not limited to:

  • Development of new theoretical tools that can be used to study nonlocal and functional BVPs
  • Existence, uniqueness, and multiplicity results
  • Qualitative properties of the solutions, for example, positivity, oscillation, symmetry, bifurcation, regularity, and stability
  • Approximation of the solutions
  • Eigenvalue problems for BVPs
  • Mixed initial-boundary value problems
  • Applications to real world phenomena

Before submission authors should carefully read over the journal's Author Guidelines, which are located at http://www.hindawi.com/journals/jfsa/guidelines/. Prospective authors should submit an electronic copy of their complete manuscript through the journal Manuscript Tracking System at http://mts.hindawi.com/ according to the following timetable:

Manuscript DueFriday, 14 September 2012
First Round of ReviewsFriday, 7 December 2012
Publication DateFriday, 1 February 2013

Lead Guest Editor

  • Gennaro Infante, Dipartimento di Matematica, Universitá della Calabria, 87036 Arcavacata, Italy

Guest Editors

  • Feliz Manuel Minhos, Departamento de Matematica, Universidade de Évora-Escola de Ciencias e Tecnologia, 7000-671 Évora, Portugal
  • To Fu Ma, Department of Mathematics of the Institute of Mathematical and Computer Sciences, University of Sao Paulo, Brazil