Oscillations and multiple periodic solutions in systems of differential equations with piecewise continous delay

Abstract

A system of two first-order liner differential equations with piecewise continuous delay is studied. The delay generates unusually interesting oscillation and periodic properties of the system. In particular nonlinear phenomena such as simultaneous existence of periodic solutions with different periods observed in linear delay systems

Keywords:

• Differential equation
• Piecewise continuous delay
• diference equation
• oscillation
• periodic solution