On solutions of functional equations determining subsemigroups of L¹₄

• Autorzy: Janina Chodukowska , Zbigniew Marciniak
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 37C05: Smooth mappings and diffeomorphisms
• 39B72: Systems of functional equations and inequalities

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2010
• Tom: 119
• Numer: 2
• Strony: 181-192

Daty

wydano

2010

Twórcy

autor

Janina Chodukowska

• Al. Jana Pawła II 3/72, 37-450 Stalowa Wola, Poland

autor

Zbigniew Marciniak

• Institute of Mathematics, Warsaw University, Banacha 2, 02-097 Warszawa, Poland

Identyfikatory

DOI

10.4064/cm119-2-2