Interval oscillation criteria for second order mixed nonlinear forced impulsive differential equation with damping term

摘要

In this paper, interval oscillation criteria are established for second order forced im- pulsive differential equations with mixed nonlinearities of the form . . . . . r(t) Φ α (x (t)) + p(t) Φ α (x (t))+ q(t) Φ α (x(t))+ n ∑ i=1 q i (t) Φ β i (x(t)) = e(t), t = τ k , x( τ k + )=a k x( τ k ), x ( τ k + )=b k x ( τ k ), k = 1,2,... . The results obtained in this paper extend some of the existing results and are illustrated by ex- amples.