Oscillation and nonoscillation of solutions of second order linear dynamic equations with integrable coefficients on time scales

We obtain Willett-Wong-type oscillation and nonoscillation theorems for second order linear dynamic equations with integrable coefficients on a time scale. The results obtained extend and are motivated by oscillation and nonoscillation results due to Willett [20] and Wong [21] for the second order linear differential equation. As applications of the new results obtained, we give the complete classification of oscillation and nonoscillation for the difference equations ∆x(n) + b (−1) tc x(n + 1) = 0 and ∆x(n) + » a tc+1 + b (−1) tc – x(n + 1) = 0, for t ∈ N, a, b, c ∈ R. We also improve a nonoscillation result of Mingarelli [17] and extend an oscillation result of Del Medico and Kong [7].