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Maximum principles for dynamic equations on time scales and their applications. (English) Zbl 1406.35453

Summary: We consider the second dynamic operators of elliptic type on time scales. We establish basic generalized maximum principles and apply them to obtain weak comparison principle for second dynamic elliptic operators and to obtain the uniqueness of Dirichlet boundary value problems for dynamic elliptic equations.

MSC:

35R05 PDEs with low regular coefficients and/or low regular data
26E70 Real analysis on time scales or measure chains
35B50 Maximum principles in context of PDEs
35J25 Boundary value problems for second-order elliptic equations
39A12 Discrete version of topics in analysis
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