Existence for nonoscillatory solutions of higher-order nonlinear neutral difference equations.

DOI10.1016/S0022-247X(03)00017-9zbMath1036.39018MaRDI QIDQ1874433

Yunqing Huang, Yong Zhou

Publication date: 25 May 2003

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

bounded nonoscillatory solutionshigher-order neutral difference equation

Mathematics Subject Classification ID

Additive difference equations (39A10) Discrete version of topics in analysis (39A12)

Related Items (8)

Oscillation of higher order neutral functional difference equations with positive and negative coefficients ⋮ Existence of uncountably many bounded positive solutions to higher-order nonlinear neutral delay difference equations ⋮ Classification and existence of nonoscillatory solutions of higher order nonlinear neutral difference equations ⋮ Existence of nonoscillatory solutions to third order nonlinear neutral difference equations ⋮ Periodic solutions of a 2-dimensional system of neutral difference equations ⋮ Solvability of a higher-order nonlinear neutral delay difference equation ⋮ New oscillation criteria for second order linear difference equations with positive and negative coefficients ⋮ Existence of the asymptotically periodic solution to the system of nonlinear neutral difference equations

Cites Work

• Comparison results and linearized oscillations for higher-order difference equations
• On existence of positive solutions and bounded oscillations for neutral difference equations
• Oscillations of higher-order neutral difference equations
• Existence of non-oscillatory solutions of second-order neutral delay difference equations
• Oscillations of higher-order linear difference equations
• Existence of nonoscillatory solutions of higher-order neutral difference equations with general coefficients
• Oscillation of higher-order nonlinear difference equations of neutral type
• Oscillatory and asymptotic behavior of solutions of nonlinear neutral-type difference equations
• An existence theorem for a nonlinear difference equation
• The oscillation of perturbed functional differential equations
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