EXISTENCE OF NON-OSCILLATORY SOLUTIONS FOR A HIGHER-ORDER NONLINEAR NEUTRAL DIFFERENCE EQUATION.
In: Electronic Journal of Differential Equations, Jg. 2010 (2010-04-01), S. 1-7
Online
academicJournal
Zugriff:
This article concerns the solvability of the higher-order nonlinear neutral delay difference equation Δ(akn ... Δ(a2nΔ(a1nΔ(xn + bnxn-d)))) + s∑j = 1 pjnfj (xn-rjn) = qn, where n ≥ n0 ≥ 0, d, k, j, s are positive integers, fj : ℝ → ℝ and xfj (x) ≥ 0 for x ≠ 0. Sufficient conditions for the existence of non-oscillatory solutions are established by using Krasnoselskii fixed point theorem. Five theorems are stated according to the range of the sequence {bn}. [ABSTRACT FROM AUTHOR]
Titel: |
EXISTENCE OF NON-OSCILLATORY SOLUTIONS FOR A HIGHER-ORDER NONLINEAR NEUTRAL DIFFERENCE EQUATION.
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Autor/in / Beteiligte Person: | ZHENYU, GUO ; MIN, LIU |
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Zeitschrift: | Electronic Journal of Differential Equations, Jg. 2010 (2010-04-01), S. 1-7 |
Veröffentlichung: | 2010 |
Medientyp: | academicJournal |
ISSN: | 1550-6150 (print) |
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