Existence and uniqueness of classical solutions to certain nonlinear integro-differential Fokker-Planck type equations

A nonlinear Fokker-Planck type ultraparabolic integro-differential equation is studied. It arises from the statistical description of the dynamical behavior of populations of infinitely many (nonlinearly coupled) random oscillators subject to ``mean-field'' interaction. A regularized parab...

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Bibliographic Details
Main Authors: Denis R. Akhmetov, Mikhail M. Lavrentiev Jr, Renato Spigler
Format: Article
Language:English
Published: Texas State University 2002-02-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2002/24/abstr.html