Abstract
A series of papers was devoted to the investigation of third order ordinary differential equations of P-type. The interest in such problems is due to their applications in physics, chemistry, etc.
In the year 2007, Conte et al. in the paper entitled “Painlevé structure of a multi-ion electrodiffusion system” showed that the coupled nonlinear system descriptive of multi-ion electrodiffusion of the first order corresponds to a nonlinear ordinary differential equation of P-type (solutions of such equations have no movable critical singular points). We understand that the solutions of this problem are not completely known; a topic addressed in the present paper.
Some new third order rational ordinary differential equations with integer indices of Fuchs as well as recent ones are found.
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Adjabi, Y., Kessi, A. (2015). Third order rational ordinary differential equations with integer indices of Fuchs. In: Jeribi, A., Hammami, M., Masmoudi, A. (eds) Applied Mathematics in Tunisia. Springer Proceedings in Mathematics & Statistics, vol 131. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-18041-0_9
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DOI: https://doi.org/10.1007/978-3-319-18041-0_9
Publisher Name: Birkhäuser, Cham
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