EXISTENCE OF MONOTONIC ASYMPTOTICALLY CONSTANT SOLUTIONS FOR SECOND ORDER DIFFERENTIAL EQUATIONS

DOI10.1017/S0017089507003874zbMath1140.34022MaRDI QIDQ5448985

Antonio Jiménez-Melado, Cristóbal González

Publication date: 10 March 2008

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

existence of solutionssecond-order ordinary differential equationsnonoscillatory solutionsasymptotically constant solutions

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Nonlinear ordinary differential equations and systems (34A34) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (2)

Asymptotic behavior of solutions to an integral equation underlying a second-order differential equation ⋮ Asymptotic behavior of solutions to a vector integral equation with deviating arguments

Cites Work

• Global existence of solutions with prescribed asymptotic behavior for second-order nonlinear differential equations
• Monotone positive solutions of second-order nonlinear differential equations.
• Positive solutions of second-order differential equations
• Positive solutions for second-order nonlinear differential equations
• On the existence of positive solutions of second order differential equations
• ON THE ASYMPTOTIC BEHAVIOUR OF THE SOLUTIONS TO A CLASS OF SECOND ORDER NONLINEAR DIFFERENTIAL EQUATIONS

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