https://doi.org/10.1051/epjconf/201817302019
Generalized System of Riccati-Type Equations
Laboratory of Information Technologies, Joint Institute for Nuclear Research, 6, Joliot Curie St., 141980 Dubna, Moscow Region, Russia
* e-mail: yamaleev@jinr.ru
Published online: 14 February 2018
A new system of generalized Riccati-type equations is derived. An interconnection between the solutions of n-th order differential equations and the solutions of a generalized system of Riccati-type equations is established. Inverse mapping from the solutions of generalized Riccati-type equations onto the linearly independent solutions of the n-th order differential equation is constructed.
© The Authors, published by EDP Sciences, 2018
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