Conditional stability for a class of second-order differential equations

DOI10.1016/j.aml.2005.02.017zbMath1095.34029OpenAlexW1976638308MaRDI QIDQ812710

Octavian G. Mustafa, Svitlana P. Rogovchenko, Cezar Avramescu, Yuriy V. Rogovchenko

Publication date: 24 January 2006

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2005.02.017

zbMATH Keywords

conditional stabilityasymptotic behaviour of solutionssecond-order differential equationtest functionssemiliniar differential equation

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Stability of solutions to ordinary differential equations (34D20) Growth and boundedness of solutions to ordinary differential equations (34C11)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Global existence of solutions with prescribed asymptotic behavior for second-order nonlinear differential equations
• Nonlinear Urysohn discrete equations on the infinite interval: a fixed-point approach
• Existence and asymptotic behavior of solutions of a boundary value problem on an infinite interval
• Asymptotic integrations of the adiabatic oscillator in its hyperbolic range
• Singular problems on the infinite interval modelling phenomena in draining flows
• A continuation method on locally convex spaces and applications to ordinary differential equations on noncompact intervals
• Rotationally symmetric solutions for shallow membrane caps
• Infinite Interval Problems Modeling the Flow of a Gas Through a Semi‐Infinite Porous Medium
• Unrestricted Solution Fields of Almost Separable Differential Equations

This page was built for publication: Conditional stability for a class of second-order differential equations