摘要

For even order delay differential equation of the form vertical bar p(t)vertical bar x((n-1))(t)vertical bar(alpha-1)x((n-1))(t)vertical bar' + F(t, x(g(t)) = 0, n even where p is an element of C(1) (vertical bar t(0), infinity); (0, infinity)), F is an element of C([t(o), infinity); R), g is an element of C([t(o), infinity); R) alpha > 0 is a constant, we obtain several new oscillation criteria without assumptions that has been required for the related results obtained before, our results generalize and improve many known conclusions.