Oscillation and nonoscillation criteria for second order half-linear neutral difference equations

Abstract

In this paper, we present some necessary condition of second order half linear neutral difference equations which make certain that all solution there oscillatory or converge to zero as n → ∞. Some examples are demonstrated to validate the conditions.

Subject Classification:

• Primary 26A33
• 44A05
• Secondary 34A08
• 34A07

Keywords:

• Oscillation
• Neutral difference equations
• Second order
• Half-liner