On the asymptotic stability by nondecrescent Ljapunov function

DOI10.1016/0362-546X(84)90028-2zbMath0534.34054OpenAlexW2088728985MaRDI QIDQ3317415

László Hatvani

Publication date: 1984

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(84)90028-2

zbMATH Keywords

differential inequalitiespartial asymptotic stabilitydecrescent Lyapunov functionmathematical plain pendulumpartial stability properties

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Differential inequalities involving functions of a single real variable (34A40) Linear vibration theory (70J99)

Related Items (11)

Perturbing Liapunov functions and Lagrange stability in terms of two measures ⋮ Stability in several measures and a differential inequality for a partial integral equation ⋮ Global asymptotic stability for predator-prey models with environmental time-variations ⋮ Convergence of solutions of nonlinear systems with integrable forcing term and its applications to a biological model ⋮ Partial stability and control: the state-of-the-art and future trends ⋮ Global attractivity for half-linear differential systems with periodic coefficients ⋮ Global asymptotic stability for predator-prey systems whose prey receives time-variation of the environment ⋮ Influence of anti-diagonals on the asymptotic stability for linear differential systems ⋮ Perturbing families of Lyapunov functions and stability in terms of two measures ⋮ Attractivity for two-dimensional linear systems whose anti-diagonal coefficients are periodic ⋮ Lyapunov's direct method in stability theory review

Cites Work

• Stability theory by Liapunov's direct method
• Attractivity of the origin for the equation \(\ddot x+f(t,x,\dot x)|\dot x|^\alpha x+g(x)=0\)
• Stability theory for ordinary differential equations
• Stability of nonautonomous systems
• On the stability of motion
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