On the Asymptotic Stability for Nonlinear Oscillators with Time-Dependent Damping
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DOI: 10.1007/s12346-018-0294-z
Abstract: The equation $$\begin{aligned} x''+h(t,x,x')x'+f(x)=0 \qquad (x\in \mathbb {R},\ xf(x)\ge 0,\ t\in [0,\infty )) \end{aligned}$$x′′+h(t,x,x′)x′+f(x)=0(x∈R,xf(x)≥0,t∈[0,∞))is considered, where the damping coefficient h allows an estimate $$\begin{aligned} a(t)|x'|^\alpha w(x,x')\le h(t,x,x')\le b(t) W(x,x'). \end{aligned}$$a(t)|x′|αw(x,x′)≤h(t,x,x′)≤b(t)W(x,x′).Sufficient conditions on the lower and… read more here.
Keywords: stability nonlinear; oscillators time; nonlinear oscillators; asymptotic stability ... See more keywords