Geodesic
Positive solutions of third order damped nonlinear differential equations
Mathematica Bohemica, Tome 136 (2011) no. 2, pp. 205-213
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We study solutions tending to nonzero constants for the third order differential equation with the damping term \[ (a_{1}(t)(a_{2}(t)x'(t))')'+q(t)x'(t)+r(t)f(x(\varphi (t)))=0 \] in the case when the corresponding second order differential equation is oscillatory.
We study solutions tending to nonzero constants for the third order differential equation with the damping term \[ (a_{1}(t)(a_{2}(t)x'(t))')'+q(t)x'(t)+r(t)f(x(\varphi (t)))=0 \] in the case when the corresponding second order differential equation is oscillatory.
DOI : 10.21136/MB.2011.141583
Classification : 34C10, 34D05, 34K11, 34K25
Keywords: third order differential equation; damping term; second order oscillatory equation; positive solution; asymptotic properties 
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Bartušek, Miroslav; Cecchi, Mariella; Došlá, Zuzana; Marini, Mauro. Positive solutions of third order damped nonlinear differential equations. Mathematica Bohemica, Tome 136 (2011) no. 2, pp. 205-213. doi: 10.21136/MB.2011.141583

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