EXISTENCE OF LOWER AND UPPER SOLUTIONS IN REVERSE ORDER WITH RESPECT TO A VARIABLE IN A MODEL OF ACIDOGENESIS TO ANAEROBIC DIGESTION
DOI:
https://doi.org/10.14529/mmp150205Keywords:
upper-lower solutions, inverse order, system of nonlinear dierential equations, anaerobic digestionAbstract
We prove existence of upper and lower solutions in reverse order with respect a part of the variables in a system of nonlinear ordinary dierential equations modelling acidogenesis in anaerobic digestion. The corresponding existence theorems are established. The upper and lower solutions are constructed analytically, by dening semi-trivial solutions for each of the variables in the model. We introduce the concept of indicator semi-trivial solutions. Finally, we numerically solve the system supported by the Matlab software and matching the graphs of the numerical solutions with analytical solutions is found.References
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