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Applicable Analysis
An International Journal
Volume 93, 2014 - Issue 1
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Articles

On existence of optimal solutions for stochastic differential inclusions with mean derivatives

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Pages 35-45 | Received 23 Aug 2012, Accepted 23 Nov 2012, Published online: 21 Dec 2012

References

  • Nelson E. Derivation of the Schrödinger equation from Newtonian mechanics. Phys. Rev. 1966;150:1079–1085.
  • Nelson E. Dynamical Theory of Brownian Motion. Princeton, NJ: Princeton University Press; 1967.
  • Nelson E. Quantum Fluctuations. Princeton, NJ: Princeton University Press; 1985.
  • S.V. Azarina and Yu.E. Gliklikh Differential inclusions with mean derivatives, Dyn. Syst. Appl. 16 (2007), pp. 49–72.
  • Gliklikh YuE. Global and Stochastic Analysis with Applications to Mathematical Physics. London: Springer-Verlag; 2011.
  • Borisovich YuG, Gelman BD, Myshkis AD, Obukhovskii VV. Introduction to the Theory of Multi-valued Mappings and Differential Inclusions. KomKniga (URSS): Mscow; 2005.
  • I.I. Gihman and A.V. Skorohod, Theory of Stochastic Processes Vol. 3, Springer-Verlag, New York, NY, 1979.
  • Gliklikh YuE. Stochastic and Global Analysis in Problems of Mathematical Physics. KomKniga (URSS): Moscow; 2005.
  • Billingsley P. Convergence of Probability Measures. New York, NY: Wiley; 1969.
  • Yu.E. Gliklikh and A.V. Obukhovskiı Stochastic differential inclusions of Langevin type on Riemannian manifolds, Discussiones Mathematicae DICO 21 (2001), pp. 173–190.
  • Yosida Y. Functional Analysis. Berlin: Springer-Verlag; 1965.

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