Some oscillation properties of third order linear homogeneous differential equations
In this paper we establish some oscillation or nonoscillation criteria for the second order half-linear differential equation where (i) , and on for some ; (ii) for some fixed number . We also generalize some results of Hille-Wintner, Leighton and Willet.
In this paper there are generalized some results on oscillatory properties of the binomial linear differential equations of order ) for perturbed iterative linear differential equations of the same order.
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).