Sharp decay estimates of the solutions to a class of nonlinear second order ODE

Alain Haraux (1)

1 LJLL - Laboratoire Jacques-Louis Lions

We establish the rate of decay to 0 and we study the oscillation properties of solutions to the scalar second order ODE : u″ + c|u′ |^αu′ + |u|^βu = 0 where c, α, β are positive constants. Various extensions (forced equation, system) are considered.

Mots clés: Second order ODE; Oscillatory solutions; Rate of decay; Rate of decay.

Domaines: Analyse numérique [cs.NA]

Alain Haraux. Sharp decay estimates of the solutions to a class of nonlinear second order ODE. 2009. ⟨hal-00391964⟩