IJPAM: Volume 71, No. 4 (2011)
Universidad Nacional de Salta
Facultad de Ingeniería
INIQUI - UNSa - CONICET
Buenos Aires, No. 177 Street, Salta, A4402FDC, ARGENTINA
Abstract. In this paper, a typical non-linear boundary value problem (NBVP) which arises as a mathematical descriptive model of several cases regarding catalytic chemical reactor design was considered. For such NBVP, a well known result on existence and uniqueness of solution was analyzed from a point of view of parametric dependence. In order to provide sufficient conditions for existence and uniqueness of solution, some results on parametric restriction were obtained. A number of NBVP were solved as illustrative examples.
Received: April 15, 2010
AMS Subject Classification: 34B60
Key Words and Phrases: reaction-diffusion processes, non-isothermal catalytic reactions, NBVP
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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395