On non-autonomous linear difference equations with continuous variable

Abstract

This article is concerned with non-autonomous linear neutral (and, especially, non-neutral) delay difference equations with continuous variable, in which the coefficients vary and the delays are constant. An asymptotic criterion as well as a useful inequality for the solutions are established, by the use of an appropriate solution of the so called generalized characteristic equation.

Keywords:

• 39A10
• 39A11

Keywords:

• Difference equation with continuous variable
• Delay difference equation
• Neutral delay difference equation
• Behaviour of solutions
• Generalized characteristic equation