interesting cross-symmetric properties:
Many results concerning differential equations carry over quite easily to corresponding
results for difference equations, while other results seem to be completely different
from their continuous counterparts. The study of differential (or dynamic) equations on
measure chains (or time scales) reveals such discrepancies, and helps avoid proving
results twice - once for differential equations and once for difference equations. The
general idea is to prove a result for a differential equation where the domain of the
unknown function is a so-called time scale, which may be an arbitrary closed subset of
the reals...
[ Martin Bohner and Allan Peterson, "Linear Differential Equations on Measure Chains",
2001 ]
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