Some problems concerning the equivalences of two systems of differential equations
We present some regularity properties of periodic solutions to a class of singular potential problems and we discuss the existence of a regular solution.
Si studia l'andamento delle traiettorie di un sistema dinamico piano rappresentato dalle equazioni (1) del testo, nell'intorno di un punto singolare isolato.
Consider the third order differential operator given by and the related linear differential equation . We study the relations between , its adjoint operator, the canonical representation of , the operator obtained by a cyclic permutation of coefficients , , in and the relations between the corresponding equations. We give the commutative diagrams for such equations and show some applications (oscillation, property A).