First we establish the equivalence of the oscillation of the following two dif- ferential equations and (r(t)y'(t))' + τ^(-1)f(t, r(t -σ1(t))y(t),..., r(t -σn(t))y(t)) = 0. (**) Next, we establish the neces...First we establish the equivalence of the oscillation of the following two dif- ferential equations and (r(t)y'(t))' + τ^(-1)f(t, r(t -σ1(t))y(t),..., r(t -σn(t))y(t)) = 0. (**) Next, we establish the necessary and sufficient conditions of all solutions to (*) being oscillatory, when f is strongly superlinear or strongly sublinear.展开更多
文摘First we establish the equivalence of the oscillation of the following two dif- ferential equations and (r(t)y'(t))' + τ^(-1)f(t, r(t -σ1(t))y(t),..., r(t -σn(t))y(t)) = 0. (**) Next, we establish the necessary and sufficient conditions of all solutions to (*) being oscillatory, when f is strongly superlinear or strongly sublinear.