Decay estimates for some nonlinear second order ordinary differential equations

DOI10.1017/S0004972700003464zbMath0677.34039OpenAlexW1979663778MaRDI QIDQ3832881

Mitsuhiro Nakao

Publication date: 1989

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700003464

zbMATH Keywords

Lyapunov functionestimatesasymptotic decay

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)

Cites Work

• An example of nonlinear wave equation whose solutions decay faster than exponentially
• A comparison theorem for difference inequalities
• On bounded, periodic, and almost periodic solutions for a system of nonlinear second-order ordinary differential equations
• Asymptotic stability for some nonlinear evolution equations of second order with unbounded dissipative terms

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