
doi: 10.1155/2011/195619
By introducing auxiliary functions, we investigate the oscillation of a class of second‐order sub‐half‐linear neutral impulsive differential equations of the form [r(t)ϕβ(z′(t))] ′ + p(t)ϕα(x(σ(t))) = 0, t ≠ θk, where β > α > 0, z(t) = x(t) + λ(t)x(τ(t)). Several oscillation criteria for the above equation are established in both the case 0 ≤ λ(t) ≤ 1 and the case −1 < −μ ≤ λ(t) ≤ 0, which generalize and complement some existing results in the literature. Two examples are also given to illustrate the effect of impulses on the oscillatory behavior of solutions to the equation.
Oscillation theory of functional-differential equations, QA1-939, Functional-differential equations with impulses, Mathematics
Oscillation theory of functional-differential equations, QA1-939, Functional-differential equations with impulses, Mathematics
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