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Zeitschrift für Analysis und ihre Anwendungen


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Volume 19, Issue 1, 2000, pp. 279–284
DOI: 10.4171/ZAA/951

Published online: 2000-03-31

Extension of the Bernstein Condition to Systems of Ordinary Differential Equations of General Form

A. Ja. Lepin[1] and A. D. Myshkis[2]

(1) University of Latvia, Riga, Latvia
(2) Moscow State University of Railway Engineering, Russian Federation

The Bernstein condition of boundedñess 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

Lepin A. Ja., Myshkis A.: Extension of the Bernstein Condition to Systems of Ordinary Differential Equations of General Form. Z. Anal. Anwend. 19 (2000), 279-284. doi: 10.4171/ZAA/951