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ODE singularity for blocked linearly degenerate quasilinear hyperbolic systems
Author(s) -
Qu Peng
Publication year - 2011
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1413
Subject(s) - ode , singularity , degenerate energy levels , mathematics , singularity theory , mathematical analysis , pure mathematics , physics , quantum mechanics
The mechanism of singularity formation is discussed for a kind of blocked quasilinear hyperbolic system with linearly degenerate characteristics, so that the ODE singularity can be shown for some kinds of complete reducible systems and, in particular, all the results in Li et al. ( Math. Meth. Appl. Sci. 2008; 31 :193–227) can be proved without the original assumption on the part richness. Copyright © 2011 John Wiley & Sons, Ltd.