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• Sequenced problems for functional equations

  179-192

  Zsolt Ádám

  Károly Lajkó

  Gyula Maksa

  Fruzsina Mészáros

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  6

  There are many possible methods to solve equations of the form H(f(x + y), f(x − y), f(x), f(y), x, y) = 0 (x, y 2 R), where H is a known function and f is the unknown function to be determined. Here we will create a sequence of problems for equations of type (1) (see on the next page). These sequenced problems are appropriate for the fostering of talented students on different level of mathematical education.