Linear differential systems with measurable coefficients

Dennis Dale Berkey and Alan Cecil Lazer

Vol. 61 (1975), No. 1, 29–43

DOI: 10.2140/pjm.1975.61.29

Abstract

The general homogeneous first order linear differential system is considered. The principal result concerns a representation of the solution space as a direct sum of subspaces such that on each summand upper and lower bounds for the norms of the solutions can be given. The main tool in obtaining this decomposition is the method of fixed points of integral operators.

Mathematical Subject Classification 2000

Primary: 34A30

Milestones

Received: 19 December 1974

Published: 1 November 1975