Hatvani László honlapja

Személyi adatok | Publikációk | Oktatási tevékenységek


Publikációs lista

Vissza.

Cím:Boundedness and asymptotic behavior of solutions of second order nonlinear differential equations.
Szerző: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