On a separating solution of a recurrent equation
Abstract
We consider the recurrent equation Λ _p = 1/{p  1}sumlimits_{p_1 = 1}^{p  1} f left( {{p_1 }/p} right)Λ _{p_1 } \cdot Λ _{p  p_1 } . which depends on the initial condition Λ_{1} = x. Under some conditions on f we show that there exists the value of x for which Λ_{p} tends to a constant as p tends to infinity.
 Publication:

Regular and Chaotic Dynamics
 Pub Date:
 October 2007
 DOI:
 10.1134/S1560354707050036
 Bibcode:
 2007RCD....12..490S