Abstract
In this paper we consider the recurrent equation (Formula Presented) for p ≥ 1 with f ∈ C [0, 1] and Λ1 =y >0 given. We give conditions on f that guarantee the existence of y(0) such that the sequence Λp with Λ1 = y(0) tends to a finite positive limit as p→∞.
Original language | English (US) |
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Pages (from-to) | 603-613 |
Number of pages | 11 |
Journal | Journal of Statistical Physics |
Volume | 136 |
Issue number | 4 |
DOIs | |
State | Published - 2009 |
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Mathematical Physics
Keywords
- Mellin transform
- Quadratic recurrent equation
- Separating solution