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Distribution of iterates of first order difference equations

1980; Cambridge University Press; Volume: 22; Issue: 1 Linguagem: Inglês

10.1017/s0004972700006407

1755-1633

James McGuire, Colin J. Thompson,

Fractional Differential Equations Solutions

An invariant measure which is absolutely continuous with respect to Lebesgue measure is constructed for a particular first order difference equation that has an extensive biological pedigree. In a biological context this invariant measure gives the density of the population whose growth is governed by the difference equation. Further asymptotically universal results are obtained for a class of difference equations.