By using a fixed point theorem of strict-set-contraction, which is different from Gaines and Mawhin's continuation theorem and abstract continuation theory for k-set contraction, we established some new criteria for the existence of positive periodic solution of the following generalized neutral delay functional differential equation with impulse: x'(t) = x(t)[a(t) - f(t,x(t), x(t - tau(1)(t, x(t))), ... , x(t - tau(n)(t, x(t))), x'(t - gamma(1)(t,x(t))), ... , x'(t - gamma(m)(t, x(t))))], t not equal t(k), k subset of Z(+); x(t(k)(+)) = x(t(k)(-)) + theta(k)(x(t(k))), k subset of Z(+). As app...
