# Hatvani László honlapja

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 Cím: Boundedness and asymptotic behavior of solutions of second order nonlinear differential equations. Szerzõ: Graef, J.R.; Hatvani, L.; Karsai, J.; Spikes, P.W. Forrás: Publ. Math. 36, No.1-4, 85-99 (1989). Nyelv: English Absztrakt: We study the asymptotic behavior of the solutions of a broad class of second order nonlinear differential equations, namely, $$(E)\quad (a(t)x')'+h(t,x,x')+q(t)f(x)=e(t,x,x').$$ Equation (E) can be interpreted as the equation of the motion of a mechanical system with one degree of freedom having kinetic energy $a(t)[x']\sp 2/2$ and potential energy q(t)$\int\sp{x}\sb{0}f(u)du$. The system is under the action of non-potential forces $h(t,x,x')$ and $e(t,x,x')$. The force h may typically be damping while e denotes a perturbation. Letöltés: | Zentralblatt