Average intensity is one of the physical parameters which are used to describe the oceanic reverberation and the researches about it had been carried out a long time before, but not thoroughly yet.

Using the method of integral average technique and defining a new prepared solution,this paper presented some new oscillation criteria of matrix differential equations with damping,which extend the results of Rogovchenko and Li for scalar cases and improve the results of Yang for matrix cases; a few examples was given at the end.

The convolution character, the partial sum character and the integral means inequality of the class G are obtained, at the same time, the relation of G with BMOA is given.

In this paper, we discuss the integral means of derivatives of f, where f ∈S_k￣c, and decide the extreme values and extremal functions of the integral means.

In this paper,we discuss some properties of generalized Cauchy-Stieltjes integrals A α and their multipliersM α,β ,the estimates of integral means on A α are also discussed,give relations between A α and the Bergman spaceβ p .

In this paper,the integral means of the derivative of Robertson functions of order α is obtained by appealing rearrangements in symmetrically decreasing.