The oscillatorz properties of the equation $\ddot{u}+g(t,\dot{u}) + f(t,u)=0}$ are investigated. The result is applicable to some second order in time evolution equations.
@article{104517, author = {Leopold Herrmann}, title = {Optimal oscillatory time for a class of second order nonlinear dissipative ODE}, journal = {Applications of Mathematics}, volume = {37}, year = {1992}, pages = {369-382}, zbl = {0772.34030}, mrnumber = {1175931}, language = {en}, url = {http://dml.mathdoc.fr/item/104517} }
Herrmann, Leopold. Optimal oscillatory time for a class of second order nonlinear dissipative ODE. Applications of Mathematics, Tome 37 (1992) pp. 369-382. http://gdmltest.u-ga.fr/item/104517/
Oscillation properties for some damped hyperbolic problems, Houston J. Math. 16 (1990), 25-52. (1990) | MR 1071264