Bifurcation of an invariant torus of a system of differential equations in the degenerate case.
Boundary layer phenomena for differential-delay equations with state dependent time lags: II.
Boundary layer phenomenon for three -point boundary value problem for the nonlinear singularly perturbed systems
This paper deals with the three-point boundary value problem for the nonlinear singularly perturbed second-order systems. Especially, we focus on an analysis of the solutions in the right endpoint of considered interval from an appearance of the boundary layer point of view. We use the method of lower and upper solutions combined with analysis of the integral equation associated with the class of nonlinear systems considered here.
Boundary Value Problem for Nonlinear Singularity perturbed Systems in Critical case of Exchange of Stability
Boundary-Value Problems for almost Nonlinear Singularly Perturbed Systems of Ordinary Differential Equations
A boundary-value problems for almost nonlinear singularly perturbed systems of ordinary differential equations are considered. An asymptotic solution is constructed under some assumption and using boundary functions and generalized inverse matrix and projectors.