Optimal oscillatory time for a class of second order nonlinear dissipative ODE
Applications of Mathematics, Tome 37 (1992) no. 5, pp. 369-382
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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.
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.
DOI :
10.21136/AM.1992.104517
Classification :
34A34, 34C10, 34C15
Keywords: oscillatory time; second order nonlinear ODE; nonlinear; dissipative; optimal; oscillatory properties
Keywords: oscillatory time; second order nonlinear ODE; nonlinear; dissipative; optimal; oscillatory properties
Herrmann, Leopold. Optimal oscillatory time for a class of second order nonlinear dissipative ODE. Applications of Mathematics, Tome 37 (1992) no. 5, pp. 369-382. doi: 10.21136/AM.1992.104517
@article{10_21136_AM_1992_104517,
author = {Herrmann, Leopold},
title = {Optimal oscillatory time for a class of second order nonlinear dissipative {ODE}},
journal = {Applications of Mathematics},
pages = {369--382},
year = {1992},
volume = {37},
number = {5},
doi = {10.21136/AM.1992.104517},
mrnumber = {1175931},
zbl = {0772.34030},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/AM.1992.104517/}
}
TY - JOUR AU - Herrmann, Leopold TI - Optimal oscillatory time for a class of second order nonlinear dissipative ODE JO - Applications of Mathematics PY - 1992 SP - 369 EP - 382 VL - 37 IS - 5 UR - http://geodesic.mathdoc.fr/articles/10.21136/AM.1992.104517/ DO - 10.21136/AM.1992.104517 LA - en ID - 10_21136_AM_1992_104517 ER -
%0 Journal Article %A Herrmann, Leopold %T Optimal oscillatory time for a class of second order nonlinear dissipative ODE %J Applications of Mathematics %D 1992 %P 369-382 %V 37 %N 5 %U http://geodesic.mathdoc.fr/articles/10.21136/AM.1992.104517/ %R 10.21136/AM.1992.104517 %G en %F 10_21136_AM_1992_104517
[1] Zuazua E.: Oscillation properties for some damped hyperbolic problems. Houston J. Math. 16 (1990), 25-52. | MR
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