Article ID Journal Published Year Pages File Type
1707705 Applied Mathematics Letters 2015 7 Pages PDF
Abstract

We present a short analytic proof of a 1976 conjecture on the global dynamics of the equation xn=xn−1ex−xn−2xn=xn−1ex−xn−2, where x∈(0,1)x∈(0,1) and x0,x1∈(0,+∞)x0,x1∈(0,+∞). The proof is based on considering the parameter xx in the previous equation as a complex variable. This transforms the problem in studying the asymptotic behaviour of a sequence of analytic functions.

Related Topics
Physical Sciences and Engineering Engineering Computational Mechanics
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