On a criterion for oscillatory solutions of a linear differential equation of the second order
- 1 July 1940
- journal article
- research article
- Published by Cambridge University Press (CUP) in Mathematical Proceedings of the Cambridge Philosophical Society
- Vol. 36 (3) , 283-287
- https://doi.org/10.1017/s030500410001731x
Abstract
This paper gives a criterion for determining whether real, non-zero solutions of a linear differential equation of the second order have an infinite or a finite number of zeros, or, in short, are oscillatory or non-oscillatory, as the independent variable tends to infinity.Keywords
This publication has 2 references indexed in Scilit:
- Untersuchung und asymptotische Darstellung der Integrale gewisser linearer Differentialgleichungen bei grossen reellen Werthen des Arguments.Journal für die reine und angewandte Mathematik (Crelles Journal), 1897
- Untersuchungen ber die reellen Nullstellen der Integrale linearer DifferentialgleichungenMathematische Annalen, 1893