Singular ordinary differential equations homogeneous of degree $0$ near a codimension $2$ set

Singular ordinary differential equations homogeneous of degree 0 near a codimension 2 set

INVESTIGATION OF BOUNDARY LAYERS IN A SINGULAR PERTURBATION PROBLEM INCLUDING A 4TH ORDER ORDINARY DIFFERENTIAL EQUATIONS

In this paper, we investigate a singular perturbation problem including a fourth order O.D.E. with general linear boundary conditions. Firstly, we obtain the necessary conditions of solution of O.D.E. by making use of fundamental solution, then by compatibility of these conditions with boundary conditions, we determine that, for given perturbation problem, whether boundary layer is formed or not.

Recursive analysis of singular ordinary differential equations

We investigate systems of ordinary differential equations with a parameter. We show that under suitable assumptions on the systems the solutions are computable in the sense of recursive analysis. As an application we give a complete characterization of the recursively enumerable sets using Fourier coefficients of recursive analytic functions that are generated by differential equations and elem...

Ordinary Differential Equations and Singular Integrals

We present an informal review of some concepts and results from the theory of ordinary differential equations in the non-smooth context, following the approach based on quantitative a priori estimates introduced in [6] and [5].

Degree Computations for Positively Homogeneous Differential Equations

We study 2π-periodic solutions of