Discrete matrix Riccati equations with superposition formulas

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dc.creatorPenskoi, Alexei V.
dc.creatorWinternitz, Pavel
dc.date2003-05-25
dc.date2004-03-25
dc.date.accessioned2026-07-07T04:30:12Z
dc.date.available2026-07-07T04:30:12Z
dc.descriptionAn ordinary differential equation is said to have a superposition formula if its general solution can be expressed as a function of a finite number of particular solution. Nonlinear ODE's with superposition formulas include matrix Riccati equations. Here we shall describe discretizations of Riccati equations that preserve the superposition formulas. The approach is general enough to include $q$-derivatives and standard discrete derivatives.
dc.description20 pages; v.2: a misprint corrected
dc.identifierhttps://arxiv.org/abs/math-ph/0305053
dc.identifierhttp://arxiv.org/abs/math-ph/0305053
dc.identifierJ. Math. Anal. Appl. 294 (2004) 533-547
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57395
dc.subjectMathematical Physics
dc.subject34A34, 39A12
dc.titleDiscrete matrix Riccati equations with superposition formulas
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