Existence of positive nondecreasing solutions of nonlinear difference equations

DOI10.1016/0362-546X(94)90110-4zbMath0805.39004OpenAlexW2073866591MaRDI QIDQ4306590

Cheh-Chih Yeh, Horng-Jaan Li

Publication date: 19 September 1994

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(94)90110-4

zbMATH Keywords

nonlinear difference equationoscillatory solutionnonoscillation criteriapositive nondecreasing solution

Mathematics Subject Classification ID

Additive difference equations (39A10)

Related Items (21)

A critical oscillation constant as a variable of time scales for half-linear dynamic equations ⋮ Nonoscillation in nonlinear difference equations ⋮ Nonexistence of unbounded nonoscillatory solutions of partial difference equations ⋮ Oscillation criteria for second-order linear difference equations. ⋮ Comparison theorems and strong oscillation in the half-linear discrete oscillation theory. ⋮ Bounded and monotone properties of solutions of second-order quasilinear forced difference equations ⋮ Oscillation of second order nonlinear difference equations ⋮ Oscillation of second-order half-linear difference equations ⋮ How the constants in Hille-Nehari theorems depend on time scales ⋮ Hille-Nehari theorems for dynamic equations with a time scale independent critical constant ⋮ Some new results for bounded and monotone properties of solutions of second-order quasi-linear forced difference equations ⋮ New oscillation criteria for first-order delay difference equations ⋮ Generalized discrete Riccati equation and oscillation of half-linear difference equations. ⋮ Oscillation and comparison theorems for half-linear second-order difference equations ⋮ Oscillations of delay difference equations in a critical state ⋮ Bounded oscillation criteria for second-order nonlinear delay difference equations of unstable type ⋮ Oscillation theorems and existence of positive monotone solutions for second order nonlinear difference equations ⋮ Oscillation criteria for nonlinear partial difference equations with delays ⋮ Unbounded solutions of quasi-linear difference equations ⋮ Nonoscillatory solutions for the one-dimensional \(p\)-Laplacian ⋮ Oscillation theorems for general quasilinear second-order difference equations

Cites Work

• Oscillations of integro-differential equations
• Theory of difference equations: Numerical methods and applications
• Explicit conditions for the oscillation of difference equations
• Positive Solutions of Difference Equations
• An existence theorem for a nonlinear difference equation
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