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- W2067431272 abstract "We consider a matrix Riccati equation containing two parameters c and α. The quantity c denotes the average total number of particles emerging from a collision, which is assumed to be conservative (i.e., 0 < c ≤ 1), and α(0 ≤ α < 1) is an angular shift. Let S = {(c, α) : 0 < c ≤ 1 and 0 ≤ α < 1}. Stability analysis for two steady-state solutions Xmin and Xmax are provided. In particular, we prove that Xmin is locally asymptotically stable for S − {(1, 0)}, while Xmax is unstable for S − {(1, 0)}. For c = 1 and α = 0, Xmin = Xmax is neutral stable. We also show that such equations have a global positive solution for (c, α) ∈ S, provided that the initial value is small and positive." @default.
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- W2067431272 date "2001-06-01" @default.
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- W2067431272 title "Global Existence and Stability of Solutions of Matrix Riccati Equations" @default.
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- W2067431272 doi "https://doi.org/10.1006/jmaa.2000.7058" @default.
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