Smoothness properties of solutions of nonlinear differential equations

P. P. Zabreiko, V. I. Nazarov

Belarusian State University

Abstract: Smoothness of solutions of ordinary differential equations of first and higher orders are considered in spaces of infinitely differentiable Roumieu functions. Various conditions on the right sides of the equations are studied for which smooth solutions of the equations lie in some Roumieu space.

UDC: 517.97

MSC: Primary 34G20, 34C99; Secondary 34A34

Received: 24.01.1989

 English version: Mathematics of the USSR-Sbornik, 1992, 72:1, 135–150

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