Existence of positive solutions for second order differential equations arising from chemical reactor theory

Wenying Feng; Guang Zhang; Yikang Chai

doi:10.3934/proc.2007.2007.373

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2007, Volume 2007: 373-381. Doi: 10.3934/proc.2007.2007.373 open access

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Existence of positive solutions for second order differential equations arising from chemical reactor theory

1.
Computer Science and Mathematics, Trent University, Peterborough, ON Canada K9J 7B8
2.
School of Science, Tianjin University of Commerce, Tianjin 300134, P. R.
3.
Department of Mathematics, Qingdao Technological University, No. 11 Fushun Road, Qingdao 266033, P. R.

Received: August 31, 2006

Revised: February 28, 2007

Published: August 2007

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Abstract

In this paper, we study second-order differential equations that represent the steady state model in an adiabatic tubular chemical reactor. Theoretical results on existence and range of positive solutions are proved by applying a fixed point theorem. At the mean time, numerical solutions are obtained by computer programming. Results from mathematical analysis are compared with the numerical solutions.

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Mathematics Subject Classification: Primary: 34B15; Secondary 34B18.

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