Siberian Mathematical Journal

, Volume 53, Issue 6, pp 1115–1118 | Cite as

Existence and nonuniqueness of solutions to a functional-differential equation

  • A. I. NoarovEmail author


We examine the functional-differential equation Δu(x) — div(u(H(x))f (x)) = 0 on a torus which is a generalization of the stationary Fokker-Planck equation. Under sufficiently general assumptions on the vector field f and the map H, we prove the existence of a nontrivial solution. In some cases the subspace of solutions is established to be multidimensional.


stationary Fokker-Planck equation deviating argument 


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Copyright information

© Pleiades Publishing, Ltd. 2012

Authors and Affiliations

  1. 1.Institute of Numerical MathematicsMoscowRussia

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