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;
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;
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F158aed3a-44ed-4147-bb6c-9729d6a7101b%2F60a29ff0-85b7-43c7-8bbd-66e7fbb26224%2F2jwdfhb_processed.jpeg&w=3840&q=75)
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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