We discuss the existence of positive solutions of a nonlocal boundary value problem that models a chemical tubular reactor. Our approach allows us to deal with a wide range of parameters, nonlocal conditions and to provide upper and lower bounds for the solutions. We make use of the theory of fixed point index for compact maps. Some examples are presented to illustrate the theory. (C) 2013 Elsevier B. V. All rights reserved.

Existence and localization of positive solutions for a nonlocal BVP arising in chemical reactor theory

INFANTE, GENNARO
;
PIETRAMALA, Paolamaria;
2014

Abstract

We discuss the existence of positive solutions of a nonlocal boundary value problem that models a chemical tubular reactor. Our approach allows us to deal with a wide range of parameters, nonlocal conditions and to provide upper and lower bounds for the solutions. We make use of the theory of fixed point index for compact maps. Some examples are presented to illustrate the theory. (C) 2013 Elsevier B. V. All rights reserved.
Boundary value problem, Nonlocal boundary condition, Positive solution, Chemical reactor, Fixed point index
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11770/139510
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