Zeitschrift für Analysis und ihre Anwendungen
Vol. 19, No. 1, pp. 279-284 (2000)
Extension of the Bernstein Condition to Systems of Ordinary Differential Equations of General Form
A. Ja. Lepin and A. D. MyshkisLatvian Univ., Inst. Math. & Inf. Sci., bul. Rainis 29, Riga, Latvia Moscow State Univ. of Comm., ul. Obraztsova 15, Moscow 101475, Russia
Abstract: The Bernstein condition of boundedness of the derivatives of an a priori bounded solution of a 2nd order ordinary differential equation is extended to systems in which each equation has its own order.
Keywords: ordinary differential equations, continuation of solutions, Bernstein condition
Classification (MSC2000): 34A15
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Electronic fulltext finalized on: 25 Jul 2001. This page was last modified: 9 Nov 2001.