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Riccati equations on a measure chain. (English) Zbl 1008.34006

Ladde, G. S. (ed.) et al., Dynamic systems and applications. Volume 3. Proceedings of the 3rd international conference, Morehouse College, Atlanta, GA, USA, May 26-29, 1999. Atlanta, GA: Dynamic Publishers. 193-199 (2001).
Here, the authors obtain some necessary and sufficient conditions for disconjugacy of a second-order linear equation on a measure chain in terms of an associated quadratic functional. They also provide a simple oscillation criterion.
For the entire collection see [Zbl 0971.00016].

MSC:

34B10 Nonlocal and multipoint boundary value problems for ordinary differential equations
39A10 Additive difference equations
34B30 Special ordinary differential equations (Mathieu, Hill, Bessel, etc.)
34C10 Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations
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