We describe all Euler like operators 𝐶, i.e. natural operators transforming tuples (λ, 𝑔) of Lagrangians λ: J s Y→ ∧ m T ∗ M on a fibred manifold 𝑌 → 𝑀 and functions 𝑔 : 𝑌 → 𝐑 into Euler maps C ...

We construct multiplicative Green’s (or ∗Green’s) function for ∗Sturm-Liouville (∗SL) equation. The basic properties of ∗Green’s function are given. Then, ∗SL equation is evaluated by using ∗Green’s ...