Galois groups and elementary solutions of some linear differential equations.
Gaudin's model and the generating function of the Wroński map
We consider the Gaudin model associated to a point z ∈ ℂⁿ with pairwise distinct coordinates and to the subspace of singular vectors of a given weight in the tensor product of irreducible finite-dimensional sl₂-representations, [G]. The Bethe equations of this model provide the critical point system of a remarkable rational symmetric function. Any critical orbit determines a common eigenvector of the Gaudin hamiltonians called a Bethe vector. In [ReV], it was shown that for generic...
Generalization of amplitude phase and accompanying differential equation
Generalized analytic functions of Bogdan Ziemian
Definitions, properties, examples and applications of generalized analytic functions introduced by B. Ziemian are presented.
Generalized persistency of excitation.
Generalized reciprocity for self-adjoint linear differential equations
Let , be an -th order differential operator, be its adjoint and be positive functions. It is proved that the self-adjoint equation is nonoscillatory at if and only if the equation is nonoscillatory at . Using this result a new necessary condition for property BD of the self-adjoint differential operators with middle terms is obtained.
Generalized solutions of ordinary linear differential equations in the Colombeau algebra
In this paper first order systems of linear of ODEs are considered. It is shown that these systems admit unique solutions in the Colombeau algebra .
Generalized Sturm-Liouville equations
Genericità dell'iperbolicità nei sistemi differenziali lineari di dimensione due
Global behavior for a diffusive predator-prey model with stage structure and nonlinear density restriction. I: The case in .
Global canonical forms of linear differential equations
Global theory of ordinary linear homogeneous differential equations in the real domain - II.
Global theory of ordinary linear homogeneous differential equations in the real domain -I.
Global transformations of linear differential equations.
Groupes algébriques et équations différentielles linéaires
Growth model with migration: structure of optimal saving rates