In this paper, we are concerned with the asymptotic properties of solutions of the third order neutral difference equation A(a,A(b,(Azn)“)+ 9ny+1 = 0, n> no 20, (1.1) where zn = yn + Pnyo(n), a is the ratio of odd positive integers, and the following conditions are assumed to hold throughout: (H1) {an}, {bn}, and {qn} are positive real sequences for all n> no; (H2) {Pn} is a nonnegative real sequence with 0 < Pn Sp< 1; (H3) {o(n)} is a sequence of integers such that o(n) >n for all n > no; +0o and Ln=no Va =+00, (H4) En=no un b
In this paper, we are concerned with the asymptotic properties of solutions of the third order neutral difference equation A(a,A(b,(Azn)“)+ 9ny+1 = 0, n> no 20, (1.1) where zn = yn + Pnyo(n), a is the ratio of odd positive integers, and the following conditions are assumed to hold throughout: (H1) {an}, {bn}, and {qn} are positive real sequences for all n> no; (H2) {Pn} is a nonnegative real sequence with 0 < Pn Sp< 1; (H3) {o(n)} is a sequence of integers such that o(n) >n for all n > no; +0o and Ln=no Va =+00, (H4) En=no un b
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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