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

Discrete and Continuous Dynamical Systems- Series A

Volumn , Issue SUPPL., 2007, Pages 373-381

  Feng, Wenying ^a   Zhang, Guang ^b   Chai, Yikang ^c  

^a TRENT UNIVERSITY   (Canada)

^b TIANJIN UNIVERSITY OF COMMERCE   (China)

^c QINGDAO TECHNOLOGICAL UNIVERSITY   (China)

Author keywords

Fixed point theorem; Numerical simulation; Positive solution; Steady state model

Indexed keywords

EID: 67349174076     PISSN: 10780947     EISSN: 15535231     Source Type: Journal    
DOI: None     Document Type: Article

References (7)

1. D. J. Guo and V. Lakshmikantham, "Nonlinear Problems in Abstract Cones," Academic Press, 1988.
2. R. Heinemann and A. B. Poore, Multiplicity stability and oscillatory dynamics of the tubular reactor, Chemical Engineering Science, 36 (1981), 1411-1419.
3. R. Heinemann and A. B. Poore, The effect of activation energy on tubular reactor multiplicity, Chemical Engineering Science, 37 (1982), 128-131.
4. N. Madbouly, "Solutions of Hammerstein Integral Equations Arising from Chemical Reactor Theory," Ph.D. Thesis, University of Strathclyde, 1996.
5. N. M. Madbouly, D. F. McGhee and G. F. Roach, Adomian's method for Hammerstein integral equations arising from chemical reactor theory, Appl. Math. Comput., 117 (2001), 241-249.
6. A. B. Poore, A tubular chemical reactor model, in "A Collection of Nonlinear Model Problems Contributed to the Proceedings of the AMS-SIAM," (1989), 28-31.
7. A. Saadatmandi, M. Razzaghi and M. Dehghan, Sinc-Galerkin solution for nonlinear two-point boundary value problems with applications to chemical reactor theory, Math. Comput. Modelling, 42 (2005), 1237-1244.