Positive solutions of second order nonlinear differential equations

DOI10.1006/jmaa.1997.5898zbMath0966.34030OpenAlexW3140275020MaRDI QIDQ1269580

Wang-Tong Li

Publication date: 16 August 2001

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

Full work available at URL: https://doi.org/10.1006/jmaa.1997.5898

zbMATH Keywords

positive solutionsRiccati techniquequasilinear second-order differential equation

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10)

Related Items (16)

Classifications and existence criteria for positive solutions of systems of nonlinear differential equations ⋮ Interval oscillation of second-order half-linear functional-differential equations ⋮ Classifications and existence of positive solutions of higher order nonlinear iterative functional differential equations ⋮ Classification schemes for positive solutions of nonlinear differential systems. ⋮ Interval oscillation criteria for second-order quasi-linear nonhomogeneous differential equations with damping. ⋮ Oscillation criteria for second-order half-linear ordinary differential equations with damping ⋮ Existence of positive solutions of second-order nonlinear neutral differential equations with positive and negative terms ⋮ Nonoscillatory criteria for second-order nonlinear difference equations ⋮ Oscillation theorems for second-order nonlinear differential equations with damped term ⋮ Positive solutions of second-order half-linear dynamic equations on time scales ⋮ Unbounded positive solutions to higher-order nonlinear functional-differential equations ⋮ On the nonoscillation of second-order neutral delay differential equation with forcing term ⋮ Existence of nonoscillatory solutions for system of higher-order neutral differential equations with distributed deviating arguments ⋮ Positive solutions of higher-order nonlinear delay difference equations ⋮ Monotone solutions of second-order nonlinear differential equations ⋮ Nonoscillation criteria for second-order nonlinear differential equations.

Cites Work

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• On some analogs of Sturm's and Kneser's theorems for nonlinear systems
• Monotone solutions of a class of nonlinear difference equations
• Positive solutions of second order nonlinear difference equations
• Summation averages and the oscillation of second-order nonlinear difference equations
• Oscillation of certain second-order nonlinear differential equations
• Oscillation theorems and existence of positive monotone solutions for second order nonlinear difference equations
• Nonoscillation theorems for a class of quasilinear differential equations of second order
• Nonoscillation Theorems for a Second Order Sublinear Ordinary Differential Equation
• Nonoscillation Theorems for a Nonlinear Differential Equation

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