Geodesic
Representation of solutions of the differential systems of a third-order in~the~form of exponential series out~of~linear fractional functions
Problemy fiziki, matematiki i tehniki, no. 4 (2014), pp. 70-76

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Five autonomous systems of three differential equations with quadratic right-hand side are considered. The issues of the series of convergence which represent the solution of this systems, under a certain mode of transformations, the invariance in four of the given systems and existence of three-parameter solutions with movable singular line were studied.
Keywords: essential singularity, movable singular line, area of the uniqueness of solution, Dirichlet series
Mots-clés : abscissa of absolute convergence. 
@article{PFMT_2014_4_a10,
     author = {A. S. Lysiuk},
     title = {Representation of solutions of the differential systems of a third-order in~the~form of exponential series out~of~linear fractional functions},
     journal = {Problemy fiziki, matematiki i tehniki},
     pages = {70--76},
     publisher = {mathdoc},
     number = {4},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PFMT_2014_4_a10/}
}
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A. S. Lysiuk. Representation of solutions of the differential systems of a third-order in~the~form of exponential series out~of~linear fractional functions. Problemy fiziki, matematiki i tehniki, no. 4 (2014), pp. 70-76. http://geodesic.mathdoc.fr/item/PFMT_2014_4_a10/