Hatvani László honlapja

Személyi adatok | Publikációk | Oktatási tevékenységek


Publikációs lista

Vissza.

Cím:On the boundedness of solutions of nonautonomous differential equations.
Szerző:Wu, Jianhong; Hatvani, L.
Forrás:Acta Sci. Math. 53, No.3/4, 267-285 (1989).
Nyelv:English
Absztrakt:We study the boundedness and ultimate boundedness of solutions of nonautonomous differential equations by Lyapunov's direct method when the derivative of the Lyapunov function along the solutions is only semidefinite. The results generalize {\it V. M. Matrosov's} theorems [Prikl. Mat. Mekh. 26, 885-895 (1962; Zbl 0123.054)] on the asymptotic stability to the boundedness of solutions. An application is given to the boundedness of the motions of a holonomic scleronomic mechanical system of n degrees of freedom being under the action of potential, dissipative and gyroscopic forces.} \RV{L.Hatvani 
Letöltés:  | Zentralblatt