Existence of nonoscillatory solutions of higher order nonlinear neutral difference equations with positive and negative coefficients and multiple variable delays

Existence of nonoscillatory solutions of higher order nonlinear neutral difference equations with positive and negative coefficients and multiple variable delays

By using the fixed point theorem in Banach space and the inequality technique,we discuss the existence of positive solution for a class of higher order nonlinear neutral difference equations with positive and negative coefficients and multiple variable delays.Under certain conditions,we establish a...

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Veröffentlicht in:Zhejiang da xue xue bao. Journal of Zhejiang University. Sciences edition. Li xue ban 2022-01, Vol.49 (1), p.41-48
Hauptverfasser: Zhang, Ping, Qin, Guijiang, Yang, Jiashan
Format: Artikel
Sprache:chi
Schlagworte:
Banach spaces
Difference equations
Existence theorems
Fixed points (mathematics)
Mathematical analysis
不动点定理
多变时滞
正负系数
非振动
高阶非线性中立型差分方程
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Zusammenfassung:By using the fixed point theorem in Banach space and the inequality technique,we discuss the existence of positive solution for a class of higher order nonlinear neutral difference equations with positive and negative coefficients and multiple variable delays.Under certain conditions,we establish a few new nonoscillation criteria.Our results improve and extend some known results.
ISSN:1008-9497
DOI:10.3785/j.issn.1008-9497.2022.01.006