SECOND-ORDER DIFFERENTIAL EQUATIONS: ASYMPTOTIC BEHAVIOR OF THE SOLUTIONS

摘要

In this work, we obtain necessary and sufficient conditions for the oscillation of all solutions of the second-order delay differential equation (pi(y ')(gamma) )' (t)+ p(t) f y(tau(t))) = 0, under the assumption integral(infinity)(pi(eta))(-1/gamma) d eta = infinity, we consider two cases: when f (v)/v(beta) is non-increasing, and non-decreasing. In the final section, we provide examples illustrating the results and state an open problem.