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Issue ESAIM: PS
Volume 9, 2005
Page(s) 254 - 276
DOI 10.1051/ps:2005015

References of  October 2005, Vol. 9, p. 254-276
  1. L. Arnold, Stochastic Differential Equations: Theory and Applications. John Wiley and Sons, New York (1974).
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  3. B. Bergé, I.D. Chueshov and P.A. Vuillermot, On the behavior of solutions to certain parabolic SPDE's driven by Wiener processes. Stoch. Proc. Appl. 92 (2001) 237-263 [CrossRef].
  4. H. Brézis, Analyse fonctionnelle, théorie et applications. Masson, Paris (1993).
  5. I.D. Chueshov, Monotone Random Systems: Theory and Applications. Lect. Notes Math., Springer, Berlin 1779 (2002).
  6. I.D. Chueshov and P.A. Vuillermot, Long-time behavior of solutions to a class of stochastic parabolic equations with homogeneous white noise: Stratonovitch's case. Probab. Theory Relat. Fields 112 (1998) 149-202 [CrossRef].
  7. I.D. Chueshov and P.A. Vuillermot, Long-time behavior of solutions to a class of stochastic parabolic equations with homogeneous white noise: Itô's case. Stochastic Anal. Appl. 18 (2000) 581-615 [MathSciNet].
  8. I.I. Gihman and A.V. Skorohod, Stochastic Differential Equations. Ergebnisse der Mathematik und ihrer Grenzgebiete, Bd. 72. Springer, Berlin (1972).
  9. G. Hetzer, W. Shen and S. Zhu, Asymptotic behavior of positive solutions of random and stochastic parabolic equations of fisher and Kolmogorov type. J. Dyn. Diff. Eqs. 14 (2002) 139-188.
  10. R.Z. Hasminskii, Stochastic Stability of Differentiel Equations. Alphen, Sijthoff and Nordhof (1980).
  11. N. Ikeda and S. Watanabe, Stochastic Differential Equations and Diffusion Processes, North-Holland Mathematical Library. North-Holland, Kodansha 24 (1981).
  12. A. Kolmogoroff, I. Petrovsky and N. Piscounoff, Étude de l'équation de la diffusion avec croissance de la quantité de matière et son application à un problème biologique. Bull. de l'Univ. d'État à Moscou, série internationale 1 (1937) 1-25.
  13. R. Manthey and K. Mittmann, On a class of stochastic functionnal-differential equations arising in population dynamics. Stoc. Stoc. Rep. 64 (1998) 75-115.
  14. J.D. Murray, Mathematical Biology. Second Edition. Springer, Berlin 19 (1993).
  15. B. Øksendal, G. Våge and H.Z. Zhao, Asymptotic properties of the solutions to stochastic KPP equations. Proc. Roy. Soc. Edinburgh 130A (2000) 1363-1381.
  16. B. Øksendal, G. Våge and H.Z. Zhao, Two properties of stochastic KPP equations: ergodicity and pathwise property. Nonlinearity 14 (2001) 639-662 [CrossRef] [MathSciNet].
  17. M. Sanz-Solé and P.A. Vuillermot, Equivalence and Hölder-Sobolev regularity of solutions for a class of non-autonomous stochastic partial differential equations. Ann. Inst. H. Poincaré Probab. Statist. 39 (2003) 703-742 [MathSciNet].



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