Solution Estimates for some Weakly Nonlinear ODEs
Abstract
Full Text:
PDF (Português (Brasil))References
[1] P.A. Braz e Silva, “Stability of plane Couette flow: the resolvent method”, PhD Thesis, University of New Mexico, Albuquerque, NM, USA, 2002.
E.A. Coddington and N. Levinson, “Theory of Ordinary Differential Equations”, McGraw-Hill, New York, 1955.
L.C. Evans, “Partial Differential Equations”, American Mathematics Society, Providence, 1998.
T.H. Gronwall, Note on the derivatives with respect to a parameter of the solutions of a system of differential equations, Ann. Math., 20 (1919), 292-296.
T. Hagstrom, H.-O. Kreiss, J. Lorenz and P. Zingano, Decay in time of incompressible flows, J. Math. Fluid Mech., 5 (2003), 231-244.
E. Hairer, S.P. Norsett and G. Wanner, “Solving Ordinary Differential Equations”, Vol. I, Springer, Berlin, 1987.
J. Hale, “Ordinary Differential Equations”, Wiley, New York, 1969.
H.O. Kreiss and J. Lorenz, Resolvent estimates and quantification of nonlinear stability, Acta Math. Sin., 16 (2000), 1-20.
A.M. Lyapunov, “The General Problem of Stability of Motion” (Russian), 1892, reprinted by Princeton Univ. Press, Princeton, 1947.
H. Poincaré, “Les Méthodes Nouvelles de la Mécanique Céleste”, Gauthier- Villars, Paris, 1893.
E.J. Routh, “A Treatise on the Stability of a given State of Motions”, Adams Prize essay, Cambridge University, Cambridge, 1877.
F. Verhulst, “Nonlinear Differential Equations and Dynamical Systems,” Springer, Berlin, 1990.
DOI: https://doi.org/10.5540/tema.2005.06.01.0065
Article Metrics
Metrics powered by PLOS ALM
Refbacks
- There are currently no refbacks.
Trends in Computational and Applied Mathematics
A publication of the Brazilian Society of Applied and Computational Mathematics (SBMAC)
Indexed in: