Oscillation of solutions of impulsive vector hyperbolic differential equations with delays

Abstract

In this article, we investigate a class of impulsive vector hyperbolic differential equation with delays. Several sufficient conditions are established for H-oscillation of solutions of such systems subject to the Neumann boundary condition by employing certain second-order impulsive differential inequality, where H is a unit vector in ℝ ^M . The main results are illustrated by two examples.

Keywords:

• vector differential equation
• H-oscillation
• impulsive
• hyperbolic

AMS Subject Classifications::

• 34C10
• 35R12
• 34A37
• 35L20