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Existence and localization of positive solutions for a nonlocal BVP arising in chemical reactor theory
Affiliation:1. Dipartimento di Matematica ed Informatica, Università della Calabria, 87036 Arcavacata di Rende, Cosenza, Italy;2. Dipartimento di Chimica e Tecnologie Chimiche – CTC, Università della Calabria, 87036 Arcavacata di Rende, Cosenza, Italy;1. Université d’Avignon et des Pays de Vaucluse, UMR 1114 EMMAH, F-84018 Avignon Cedex, France;2. UMR 1114 EMMAH, Centre INRA d’Avignon, F-84914 Avignon Cedex 9, France;1. Department of Automatization, Wuhan University, Wuhan 430072, PR China;2. School of Mathematics and Statistics, Wuhan University, Wuhan 430072, PR China;3. College of Electrical and Information Engineering, Hunan University, Changsha 410082, PR China;1. Young Researchers and Elite Club, Qaemshahr Branch, Islamic Azad University, Qaemshahr, Iran;2. Esfarayen University, Engineering and Technical College, Mechanical Engineering Department, Esfarayen North Khorasan, Iran;3. Department of Mechanical Engineering, Yazd University, Yazd, Iran;4. Department of Mechanical Engineering, Babol University of Technology, Babol, Iran
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.
Keywords:Boundary value problem  Nonlocal boundary condition  Positive solution  Chemical reactor  Fixed point index
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