On Arithmetic Partial Differential Equations

نویسندگان

  • Pentti Haukkanen
  • Jorma K. Merikoski
  • Timo Tossavainen
چکیده

Kovič, and implicitly Ufnarovski and Åhlander, defined a notion of arithmetic partial derivative. We generalize the definition for rational numbers and study several arithmetic partial differential equations of the first and second order. For some equations, we give a complete solution, and for others, we extend previously known results. For example, we determine under which conditions two consecutive partial derivations are commutative.

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تاریخ انتشار 2016