On the non-linear difference equation Δxn = kΦ (xn)
Published online by Cambridge University Press: 24 October 2008
Extract
1. Among the equations arising in the theory of natural selection is the finite difference equation
where k is a constant which may have any value between 1 and − ∞ inclusive, but is often small. Its solution is discussed in the accompanying paper(1). It is a particular case of the equation
where Φ(x) is a known one-valued function of x. When k is small this may obviously be solved approximately by treating it as a differential equation
whence
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 28 , Issue 2 , April 1932 , pp. 234 - 243
- Copyright
- Copyright © Cambridge Philosophical Society 1932
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