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Herrmann, Leopold
Optimal oscillatory time for a class of second order nonlinear dissipative ODE. (English). Applications of Mathematics, vol. 37 (1992), issue 5, pp. 369-382
MSC: 34A34, 34C10, 34C15 | MR 1175931 | Zbl 0772.34030 | DOI: 10.21136/AM.1992.104517
Keywords:
oscillatory time; second order nonlinear ODE; nonlinear; dissipative; optimal; oscillatory properties
Summary:
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.
References:
[1] Zuazua E.: Oscillation properties for some damped hyperbolic problems. Houston J. Math. 16 (1990), 25-52. MR 1071264
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