Voir la notice de l'article provenant de la source Cambridge University Press
Yi, Taishan; Zou, Xingfu. Generic Quasi-Convergence for Essentially Strongly Order-Preserving Semiflows. Canadian mathematical bulletin, Tome 52 (2009) no. 2, pp. 315-320. doi: 10.4153/CMB-2009-034-7
@article{10_4153_CMB_2009_034_7,
author = {Yi, Taishan and Zou, Xingfu},
title = {Generic {Quasi-Convergence} for {Essentially} {Strongly} {Order-Preserving} {Semiflows}},
journal = {Canadian mathematical bulletin},
pages = {315--320},
year = {2009},
volume = {52},
number = {2},
doi = {10.4153/CMB-2009-034-7},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2009-034-7/}
}
TY - JOUR AU - Yi, Taishan AU - Zou, Xingfu TI - Generic Quasi-Convergence for Essentially Strongly Order-Preserving Semiflows JO - Canadian mathematical bulletin PY - 2009 SP - 315 EP - 320 VL - 52 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2009-034-7/ DO - 10.4153/CMB-2009-034-7 ID - 10_4153_CMB_2009_034_7 ER -
%0 Journal Article %A Yi, Taishan %A Zou, Xingfu %T Generic Quasi-Convergence for Essentially Strongly Order-Preserving Semiflows %J Canadian mathematical bulletin %D 2009 %P 315-320 %V 52 %N 2 %U http://geodesic.mathdoc.fr/articles/10.4153/CMB-2009-034-7/ %R 10.4153/CMB-2009-034-7 %F 10_4153_CMB_2009_034_7
[1] [1] Goodwin, B. C., Temporal organization in cells. Academic Press, New York, 1963. Google Scholar
[2] [2] Hirsch, M. W., Systems of differential equations that are competitive or cooperative. II. Convergence almost everywhere. SIAM J. Math. Anal. 16(1985), no. 3, 423–439. Google Scholar
[3] [3] Hirsch, M. W., Stability and convergence in strongly monotone dynamical systems. J. Reine Angew. Math. 383(1988), 1–53. Google Scholar
[4] [4] Hirsch, M. W. and Smith, H. L., Generic quasi-convergence for strongly order preserving semiflows: a new approach. J. Dynam. Differential Equations 16(2004), no. 2, 433–439. Google Scholar
[5] [5] Hirsch, M. W. and Smith, H. L., Monotone dynamical systems. In: Handbook of differential equations: ordinary differential equations II, Elsevier, Amsterdam, 2005. Google Scholar
[6] [6] Martin, R. H., Asymptotic behavior of solutions to a class of quasimonotone functional-differential equations. In: Abstract Cauchy problems and functional differential equations, Pitman, Boston, MA, 1981, pp. 91–111. Google Scholar
[7] [7] Matano, H., Strongly order-preserving local semidynamical systems—theory and applications. In: Semigroups, theory and applications, Pitman Research Notes in Mathematics 141, Longman Scientific and Technical, Harlow, 1986, pp. 178–185. Google Scholar
[8] [8] Matano, H., Strong comparison principle in nonlinear parabolic equations. In: Nonlinear parabolic equations: qualitative properties of solutions, Pitman Research Notes in Mathematics 149, Longman Scientific and Technical, Harlow, 1987, pp. 148–155. Google Scholar
[9] [9] Poláčik, P., Convergence in smooth strongly monotone flows defined by semilinear parabolic equations. J. Differential Equations 79(1989), no. 1, 89–110. Google Scholar
[10] [10] Selgrade, J. F., Asymptotic behavior of solutions to single loop positive feedback systems. J. Differential Equations 38(1980), no. 1, 80–103. Google Scholar
[11] [11] Smith, H. L., Monotone semiflows generated by functional differential equations. J. Differential Equations 66(1987), no. 3, 420–442. Google Scholar
[12] [12] Smith, H. L., System of ordinary differential equations which generate an order preserving flow. A survey of results. SIAM Review 30(1988), no. 1, 87–113. Google Scholar
[13] [13] Smith, H. L., Monotone dynamical systems. An introduction to the theory of competitive cooperative systems. Mathematical Surveys and Monographs 41, American Mathematical Society, Providence, RI, 1995. Google Scholar
[14] [14] Smith, H. L. and Thieme, H. R., Convergence for strongly order-preserving semiflows. SIAM J. Math. Anal. 22(1991), no. 4, 1081–1101. Google Scholar
[15] [15] Smith, H. L. and Thieme, H. R., Quasi convergence for strongly order-preserving semiflows. SIAM J. Math. Anal. 21(1990), no. 3, 673–692. Google Scholar
[16] [16] Takáč, P., Domains of attraction of generic ω-limit sets for strongly monotone discrete-time semigroups. J. Reine Angew. Math. 432(1992), 101–173. Google Scholar
[17] [17] Wu, J., Theory and applications of partial functional-differential equations. Applied Mathematical Sciences 119, Springer-Verlag, New York, 1996. Google Scholar
[18] [18] Yi, T. and Huang, L., Convergence and stability for essentially strongly order-preserving semiflows. J. Differential Equations 221(2006), no. 1, 36–57. Google Scholar
Cité par Sources :