Asymptotic behavior of solutions of ordinary differential equations

DOI10.2748/tmj/1178229157zbMath0488.34044OpenAlexW2061696255MaRDI QIDQ1166006

Satoru Murakami

Publication date: 1982

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178229157

zbMATH Keywords

bounded solutionLiapunov functionpositive limit setsecond order scalar differential equation

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Stability of solutions to ordinary differential equations (34D20) Growth and boundedness of solutions to ordinary differential equations (34C11) Asymptotic expansions of solutions to ordinary differential equations (34E05)

Related Items (7)

Asymptotic behavior of solutions of some differential equations ⋮ On the ultimate boundedness of solutions of ordinary differential equations ⋮ On the qualitative behaviour of solutions to certain second order nonlinear differential equation with delay ⋮ On the asymptotic stability for a two-dimensional linear nonautonomous differential system ⋮ Separatrices in the Hamilton–Jacobi formalism of inflaton models ⋮ On the asymptotic stability for nonlinear oscillators with time-dependent damping ⋮ Stability of a mechanical system with unbounded dissipative forces

Cites Work

• Global asymptotic stability for nonlinear systems of differential equations and applications to reactor dynamics
• Stability theory and the existence of periodic solutions and almost periodic solutions
• The limiting equations of nonautonomous ordinary differential equations
• Invariance and stability for ordinary differential equations
• Attractivity of the origin for the equation \(\ddot x+f(t,x,\dot x)|\dot x|^\alpha x+g(x)=0\)
• On the asymptotic stability of oscillators with unbounded damping
• Stability of nonautonomous systems
• Invariance properties for ordinary differential equations: Stability and instability
• On Global Asymptotic Stability of Certain Second Order Differential Equations with Integrable Forcing Terms
• Asymptotic Behavior of Solutions of Nonlinear Differential Equations
• Invariance Properties in the Theory of Ordinary Differential Equations with Applications to Stability Problems

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