38 Boundary Layer Phenomenon for the Nonlinear Dynamical Systems with High-Speed Feedback

This submission deals with the three-point boundary value problem for the nonlinear second-order systems with high-speed feedback. Especially, we focus on an analysis of the solutions in the endpoints of given finite length interval from an appearance of the so-called boundary layer point of view. Boundary layers correspond to the rapid region of transition in the exact solution. Singular Perturbation Theory is the mathematical framework that yields the tools, like the method of lower and upper solutions, to explore the complicated dynamical behavior of these systems.