×

Nonextendable classes of linear differential equations. (English) Zbl 0843.34012

A necessary and sufficient condition for a class of globally equivalent linear differential equations to be nonextendable is proved and some consequences to the distribution of zeros of solutions of these equations are deduced.

MSC:

34A30 Linear ordinary differential equations and systems
34C10 Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] Neuman, F., (Global Properties of Linear Ordinary Differential Equations, Mathematics and Its Applications (East European Series), Vol. 52 (1991), Kluwer Acad. Publ.: Kluwer Acad. Publ. New York)
[2] Boruvka, O., (Linear Differential Transformations of the Second Order (1971), The English University Press: The English University Press Dordrecht)
[3] Lakshmikantham, V.; Leela, S., (Differential and Integral Inequalities (1969), Academic Press: Academic Press London) · Zbl 0177.12403
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.