Document Zbl 0868.39007

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Sturmian theory on measure chains. (English) Zbl 0868.39007

Differ. Equ. Dyn. Syst. 1, No. 3, 223-244 (1993).

Summary: The basic results in Sturmian theory, oscillation, nonoscillation, and Riccati techniques are extended to dynamical equations defined on arbitrary time scales (measure chains). This allows one to treat the continuous, discrete, as well as more general equations simultaneously.

Cited in 74 Documents

MSC:

39A12	Discrete version of topics in analysis
39A10	Additive difference equations
34C10	Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations

Keywords:

measure chains; second order linear equations; difference equations; Sturmian theory; oscillation; nonoscillation; dynamical equations

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