Bounded oscillation for second-order nonlinear neutral difference equations in critical and non-critical states

DOI10.1016/j.cam.2006.11.008zbMath1138.39012OpenAlexW2121991773MaRDI QIDQ2475386

Jurang Yan, Qiong Meng

Publication date: 11 March 2008

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2006.11.008

zbMATH Keywords

critical casebounded oscillationneutral delay difference equation

Mathematics Subject Classification ID

Related Items (8)

Solvability of a higher-order nonlinear neutral delay difference equation ⋮ Existence of bounded positive solutions for a system of difference equations ⋮ Existence of uncountably many bounded positive solutions for second order nonlinear neutral delay difference equations ⋮ Positive solutions and iterative approximations of a third order nonlinear neutral delay difference equation ⋮ RECENT DEVELOPMENT IN OSCILLATORY PROPERTIES OF CERTAIN DIFFERENTIAL EQUATIONS ⋮ Oscillation criteria for a class of higher odd order neutral difference equations with continuous variable ⋮ Existence and iterative approximations of nonoscillatory solutions for second order nonlinear neutral delay difference equations ⋮ Global solvability for a second order nonlinear neutral delay difference equation

Cites Work

• Comparison theorems for the oscillation of higher order difference equations with deviating arguments
• Bounded oscillation of second-order delay difference equations of unstable type.
• Bounded oscillation for second-order delay differential equations with unstable type in a critical case
• Linearized oscillations of first-order nonlinear neutral delay difference equations
• Oscillations of delay difference equations in a critical state
• Linearized oscillation of first-order nonlinear neutral delay differential equations
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