Retarded functional differential equations with white noise perturbations

R. Langevin; W. M. Oliva; J. C. F. de Oliveira

Annales de l'I.H.P. Physique théorique (1991)

  • Volume: 55, Issue: 2, page 671-687
  • ISSN: 0246-0211

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Langevin, R., Oliva, W. M., and de Oliveira, J. C. F.. "Retarded functional differential equations with white noise perturbations." Annales de l'I.H.P. Physique théorique 55.2 (1991): 671-687. <http://eudml.org/doc/76547>.

@article{Langevin1991,
author = {Langevin, R., Oliva, W. M., de Oliveira, J. C. F.},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {retarded functional differential equation; large deviation; Euler- Lagrange equation},
language = {eng},
number = {2},
pages = {671-687},
publisher = {Gauthier-Villars},
title = {Retarded functional differential equations with white noise perturbations},
url = {http://eudml.org/doc/76547},
volume = {55},
year = {1991},
}

TY - JOUR
AU - Langevin, R.
AU - Oliva, W. M.
AU - de Oliveira, J. C. F.
TI - Retarded functional differential equations with white noise perturbations
JO - Annales de l'I.H.P. Physique théorique
PY - 1991
PB - Gauthier-Villars
VL - 55
IS - 2
SP - 671
EP - 687
LA - eng
KW - retarded functional differential equation; large deviation; Euler- Lagrange equation
UR - http://eudml.org/doc/76547
ER -

References

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  1. [A] N.T. Akiezer, The Calculus of Variations, Blaisdell Publishing Co., 1962. 
  2. [Az] R. Azencott, Lect. Notes Math., Springer, No 774, 1978. 
  3. [B-T] J.G. Borisovic and A.S. Turbabin, On the Cauchy Problem for Linear Homogeneous Differential Equations with Retarded Argument, Dokl. Akad. Nauk S.S.S.R., Vol. 4, 1969. MR247224
  4. [D-S] J.D. Deuschel and D.W. Stroock, Large Deviations, Ac. Press, 1989. Zbl0705.60029MR997938
  5. [F-W1] M.I. Freidlin and A.D. Wentzell, Random Perturbations of Dynamical Systems, Springer-Verlag, 1985. MR1652127
  6. [F-W2] M.J. Freidlin and A.D. Wentzell, Fluctuations in Dynamical Systems Under the Action of Random Perturbations, MoskvaNauka, 1979. 
  7. [Ha] J.K. Hale, Theory of Functional Differential Equations, Springer-Verlag, 1977. MR508721

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