The universal bound property for a class of second order ODEs

DOI10.4171/PM/2026zbMath1437.34019arXiv1811.02212OpenAlexW2979278878MaRDI QIDQ2335814

Mama Abdelli, Alain Haraux

Publication date: 15 November 2019

Published in: Portugaliae Mathematica. Nova Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.02212

zbMATH Keywords

decay ratesecond order scalar ODE

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Growth and boundedness of solutions to ordinary differential equations (34C11) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (1)

Universal bounds for a class of second order evolution equations and applications

Cites Work

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• Infinite-dimensional dynamical systems in mechanics and physics
• Critical exponents, special large-time behavior and oscillatory blow-up in nonlinear ODE's
• Existence, uniqueness and global behavior of the solutions to some nonlinear vector equations in a finite dimensional Hilbert space
• Global behavior of the solutions to a class of nonlinear, singular second order ODE
• SHARP DECAY ESTIMATES OF THE SOLUTIONS TO A CLASS OF NONLINEAR SECOND ORDER ODE's

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