In this paper the method how to apply the pole/zero pattern to the frequency domain AR modeling is discussed and the simulation results are gained combining with an example.

The distribution of zeros for nonlinear difference equations with continuous argument and positive and negative coeffici- ents is studied and sufficient conditions for oscillation of the equations are obtained.

In this paper,we investigate the distribution of zeros of the solutions of second order linear differential equations ″+A(z)=0 with transcendental coefficients.

The distribution of zeros for nonlinear differential equations with positive arguments by method of polynomial series,and some more explicit conditions to oscillate are given.

Thesis is mainly concerned with the oscillatory and asymptotic behavior for second-order nonlinear ordinary differential equations,higher order nonlinear functional differential equations and dynamic equations on time scales,and the distribution of zeros of solutions of first-order functional differential equation and the neutral functional differential equation.

In this paper, we shall study the zero distribution of E and get some results on zero-filling discs of E.

The location of zeros of radial minimizer is given and the uniqueness of this radial minimizer is proved.