Displaying 321 – 340 of 726

Showing per page

On solutions of functional equations determining subsemigroups of L¹₄

Janina Chodukowska, Zbigniew Marciniak (2010)

Colloquium Mathematicae

Let L¹₄ be the group of 4-jets at zero of diffeomorphisms f of ℝ with f(0) = 0. Identifying jets with sequences of derivatives, we determine all subsemigroups of L¹₄ consisting of quadruples (x₁,f(x₁,x₄),g(x₁,x₄),x₄) ∈ (ℝ∖{0}) × ℝ³ with continuous functions f,g:(ℝ∖{0}) × ℝ → ℝ. This amounts to solving a set of functional equations.

Currently displaying 321 – 340 of 726