SHARP DECAY ESTIMATES OF THE SOLUTIONS TO A CLASS OF NONLINEAR SECOND ORDER ODE's

DOI10.1142/S021953051100173XzbMath1227.34052MaRDI QIDQ3074790

Alain Haraux

Publication date: 10 February 2011

Published in: Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

oscillatory solutionssecond order ODErate of decay

Mathematics Subject Classification ID

Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (6)

Existence, uniqueness and global behavior of the solutions to some nonlinear vector equations in a finite dimensional Hilbert space ⋮ Global vs blow-up solutions and optimal threshold for hyperbolic ODEs with possibly singular nonlinearities ⋮ Global behavior of the solutions to a class of nonlinear, singular second order ODE ⋮ Asymptotic stability of intermittently damped semi-linear hyperbolic-type equations ⋮ Exact rate of decay for solutions to damped second order ODE's with a degenerate potential ⋮ The universal bound property for a class of second order ODEs

Cites Work

• Convergence of global and bounded solutions of a second order gradient like system with nonlinear dissipation and analytic nonlinearity
• Convergence of solutions to second-order gradient-like systems with analytic nonlinearities
• Slow and fast decay of solutions to some second order evolution equations
• Asymptotics for some nonlinear O.D.E. of the second order

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