Oscillation of nonlinear dynamic equations on time scales

摘要

By means of Riccati transformation techniques, we establish some new oscillation criteria for the second order nonlinear dynamic equation(p(t)xΔ(t))Δ+q(t)f(x(σ(t)))=0,t∈[a,b],on time scales in terms of the coefficients and the graininess function. We illustrate our results with a nontrivial example.