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Let be unique equilibrium of the equation (1), then ♫ 1+ N.N.N.N.N.N Ω= ⇒ ² = 0 ⇒ = 0, So, = 0 obtained. For every q ≥ 0 and m > q, notation i = q, m means i = q, q +1,..., m. Theorem 1. For (1) following statements are true: +Ω+ 5² lim 84x = (a) The sequences {((7q+7)n−(79+6))}, {(N(7q+7)n−(79+5))}, ..., {(N(7q+7)n)} are decreased and a1, a2, ..., a7q+7 ≥ 0 is existed in such that: (7q+7)n-(7q+6)+t = a1+t, t = 0, 7q+6.

Let be unique equilibrium of the equation (1), then ♫ 1+ N.N.N.N.N.N Ω= ⇒ ² = 0 ⇒ = 0, So, = 0 obtained. For every q ≥ 0 and m > q, notation i = q, m means i = q, q +1,..., m. Theorem 1. For (1) following statements are true: +Ω+ 5² lim 84x = (a) The sequences {((7q+7)n−(79+6))}, {(N(7q+7)n−(79+5))}, ..., {(N(7q+7)n)} are decreased and a1, a2, ..., a7q+7 ≥ 0 is existed in such that: (7q+7)n-(7q+6)+t = a1+t, t = 0, 7q+6.

Advanced Engineering Mathematics
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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Let 2 be unique equilibrium of the equation (1), then = 2 = ' = 0 = N = 0, 1+ N.N.N.N..N „U+U E So, 2 = 0 obtained. For every q > 0 and m > notation i q, m means i = q, q + 1, ..., m. Theorem 1. For (1) following statements are true: (a) The sequences {(P(7q+7)n-(79+6)}; {(P(7q+7)n=(79+5)}, .., {(N(7q+7)n)} are decreased and a1, a2,.… a7g+7 20 is existed in such that: lim N(7g+7)n-(7q+6)+t = a1+t, = 0, 7q + 6. t =
Transcribed Image Text:Let 2 be unique equilibrium of the equation (1), then = 2 = ' = 0 = N = 0, 1+ N.N.N.N..N „U+U E So, 2 = 0 obtained. For every q > 0 and m > notation i q, m means i = q, q + 1, ..., m. Theorem 1. For (1) following statements are true: (a) The sequences {(P(7q+7)n-(79+6)}; {(P(7q+7)n=(79+5)}, .., {(N(7q+7)n)} are decreased and a1, a2,.… a7g+7 20 is existed in such that: lim N(7g+7)n-(7q+6)+t = a1+t, = 0, 7q + 6. t =
In this work, we deal with the following nonlinear difference equation Im-(7q+6) Im+1 т — 0, 1,..., (1) 1+II-o Pm-(q+1)t-q t=0 where 2-(74+6), 2-(7g+5), ..., 2-1, 2o E (0, x) is investigated.
Transcribed Image Text:In this work, we deal with the following nonlinear difference equation Im-(7q+6) Im+1 т — 0, 1,..., (1) 1+II-o Pm-(q+1)t-q t=0 where 2-(74+6), 2-(7g+5), ..., 2-1, 2o E (0, x) is investigated.
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