Journal of Inequalities and Applications 
Volume 6 (2000), Issue 3, Pages 287-303
doi:10.1155/S1025583401000170

Factoring linear differential operators on measure chains

Lynn H. Erbe,1,2 Ronald M. Mathsen,3 and Allan Peterson1

 1Department of Mathematics and Statistics, University of Nebraska-Lincoln, Lincoln 68588-0323, NE, USA
2Department of Mathematical Sciences, University of Alberta, Edmonton T6G 2G1, Alberta, Canada
3Department of Mathematics, North Dakota State University, Fargo 58105-5075, ND, USA
Received 7 September 1999; Revised 9 November 1999

Abstract

We extend to measure chains Abel’s theorem, the existence of a set of positive Wronskians, and the Polya and Trench factorizations of disconjugate linear Δ-differential operators.