On Nonlinear Forced Impulsive Differential Equations under Canonical and Non-Canonical Conditions

Abstract

This study is connected with the nonoscillatory and oscillatory behaviour to the solutions of nonlinear neutral impulsive systems with forcing term which is studied for various ranges of of the neutral coefficient. Furthermore, sufficient conditions are obtained for the existence of positive bounded solutions of the impulsive system. The mentioned example shows the feasibility and efficiency of the main results.

Keywords

• lebesgue’s dominated converges theorem (LDCT)
• Banach fixed point theorem
• oscillation
• neutral
• nonoscillation
• impulsive systems