Monotone solutions of a class of nonlinear difference equations

DOI10.1016/0898-1221(94)00094-8zbMath0805.39005OpenAlexW2070157049MaRDI QIDQ1334563

Bing Gen Zhang, Sui-Sun Cheng

Publication date: 21 September 1994

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(94)00094-8

zbMATH Keywords

comparison theoremsnonlinear difference equationpositive nondecreasing solution

Mathematics Subject Classification ID

Additive difference equations (39A10)

Related Items (14)

Oscillatory and asymptotically monotone solutions of second-order quasilinear differential equations ⋮ Oscillation criteria for second-order nonlinear difference equations with damped term ⋮ Oscillation of second-order half-linear difference equations ⋮ Oscillatory and asymptotic properties of higher order nonlinear difference equations ⋮ Bounded solutions and wavefronts for discrete dynamics ⋮ Oscillation and comparison theorems for half-linear second-order difference equations ⋮ Oscillation theorems and existence of positive monotone solutions for second order nonlinear difference equations ⋮ Positive solutions of second order nonlinear differential equations ⋮ Unbounded positive solutions to higher-order difference equations with singular nonlinear term ⋮ Positive solutions of higher-order nonlinear delay difference equations ⋮ Oscillation and non-oscillation for second-order linear difference equations ⋮ Monotone solutions of second-order nonlinear differential equations ⋮ Existence and asymptotic behavior of positive solutions of higher-order nonlinear difference equations with delay ⋮ Oscillation theorems for general quasilinear second-order difference equations

Cites Work

• Nonlinear differential equations with monotone solutions
• Bounded and zero convergent solutions of second-order difference equations
• Monotone and Oscillatory Solutions of y (n) + py = 0
• An existence theorem for a nonlinear difference equation
• Linear Differential and Difference Equations with Monotone Solutions
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