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Maximum principles for second order dynamic equations on time scales. (English) Zbl 1126.34015
The paper contains different types of maximum principles for second order dynamic equations on a time scale \(\mathbb{T}\) ( = arbitrary closed subset of the reals). The theorems generalize in a nontrivial way classical maximum principles for (continuous: \(\mathbb{T} = \mathbb{R}\)) ordinary differential equations.

MSC:
34B15 Nonlinear boundary value problems for ordinary differential equations
39A10 Additive difference equations
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[2] ()
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