If i = 0, q a₁+i ≤ aq+2+i ≤ a2q+3+i ≤ a3q+4+i ≤ a4q+5+i ≤ A5q+6+i ≤ A6q+7+i ≤ al+i;

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 24E
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In this work, we deal with the following nonlinear difference equation
Im-(79+6)
m = 0, 1, ..,
(1)
Im+1
1+ II-o Pm-(9+1)t-q
%3D0
where 2-(79+6), SN_(7g+5),..., 2–1, 20 E (0, 00) is investigated.
Transcribed Image Text:In this work, we deal with the following nonlinear difference equation Im-(79+6) m = 0, 1, .., (1) Im+1 1+ II-o Pm-(9+1)t-q %3D0 where 2-(79+6), SN_(7g+5),..., 2–1, 20 E (0, 00) is investigated.
(c) If there exist no E N such that
4
II Pm-(q+1)t-q 2 S2m+1 ]] 2m-(q+1)t-q
for all
n > no,
then
t=0
t=0
If i = 0, q
a1+i < aq+2+i < a2q+3+i S a3q+4+i < a4q+5+i < a5q+6+i < a6q+7+i < Ql+i,
we obtained the result
Transcribed Image Text:(c) If there exist no E N such that 4 II Pm-(q+1)t-q 2 S2m+1 ]] 2m-(q+1)t-q for all n > no, then t=0 t=0 If i = 0, q a1+i < aq+2+i < a2q+3+i S a3q+4+i < a4q+5+i < a5q+6+i < a6q+7+i < Ql+i, we obtained the result
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