Advanced differential equations with piecewise constant argument deviations

Abstract

Functional differential equations of advanced type with piecewise constant argument deviations are studied. They are closely related to impulse, loaded and, especially, to difference equations, and have the structure of continuous dynamical systems within intervals of unit length.

Keywords

• functional differential equation
• advanced equation
• difference equation
• piecewise constant deviation
• initial-value problem
• solution
• existence
• uniqueness
• backward continuation
• growth
• stability.