Theorem 6 If (a1 + a3 + a5) > (a2 + a4) and (B1 + B3 + B5) > (B2 + B4) , then the necessary and sufficient condition for Eq.(1.1) to have positive so- lutions of prime period two is that the inequality [(A+ 1) ((B1 + B3 + B5) – (B2 + B4)) [(@1 + a3 + a5) – (a2 + a4)]? +4[(a1+a3 +a5) – (a2 + a4)] [(ß1 + B3 + Bs) (a2 + a4) + A (B2 + B4) (a1 + a3 + a5)] > 0. (4.13)
Theorem 6 If (a1 + a3 + a5) > (a2 + a4) and (B1 + B3 + B5) > (B2 + B4) , then the necessary and sufficient condition for Eq.(1.1) to have positive so- lutions of prime period two is that the inequality [(A+ 1) ((B1 + B3 + B5) – (B2 + B4)) [(@1 + a3 + a5) – (a2 + a4)]? +4[(a1+a3 +a5) – (a2 + a4)] [(ß1 + B3 + Bs) (a2 + a4) + A (B2 + B4) (a1 + a3 + a5)] > 0. (4.13)
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 32EQ
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