Original Articles

ON A THEOREM OF A.A. LYAPUNOV

Published in: Quaestiones Mathematicae
Volume 4 , issue 4 , 1981 , pages: 347–370

DOI: 10.1080/16073606.1981.9632256

Author(s): P. Maritz Department of Mathematics, South Africa

Keywords: 28A45 , 46G10

Abstract

In this note we obtain some extensions and an approximation of the Lyapunov convexity theorem by means of the bilinear integration of a set-valued function. The integration is performed successively with respect to a non-atomic, a direct sum and a Darboux vector measure. The necessary counterexamples are provided.

« ON THE ASYMPTOTIC BEHAVIOUR OF THE TITCHMARSH- WEYL COEFFICIENTS FOR A FOURTH ORDER EQUATION

EDITORIAL BOARD / REDAKSIERAAD »