Asymptotic behavior of thesolution of the neutron trans port equations with continuative energy and with generalized reflecting boundary conditions;

We are interested in the asymptotic behavior of the solutions up(x,t) as p→∞ for N=1,when the initial value u0(x) has no compact support.

In this paper,we investigate the periodicity,asymptotic behavior and asymptotic stability of the solutions for difference equationxn+1=α+β(xpn-k)/(xpn-l)n=0,1,…where α≥0,β>0,p≠0,k and l are nonnegative integers,μ=max{k,l},and the initial values x-μ,x1-μ,…,x0 are arbitrary positive real numbers.

A asymptotic property of mean-value for the generalized Cauchy s mean-value theorem;

In this paper,it presents some criteria for the asymptotic property for a class of second-order nonlinear differential equation with damping.

In the paper,a generalization of weighted average intermediate theorem are given,and its asymptotic property for intermediate point are given.

The thesis gives asymptotic properties of the differential mean valueξcontained in Euler-Maclaurin numerical integral formula when the length of integral interval tends to be zero.

Moreover,asymptotic properties of isotropic constant of B~n_p is obtained as n→∞ and p→(∞.

In this paper,the asymptotic properties of in the integral mean value theorem has been considered,and the main result have be obtained limx→aξ-ax-a=n n1+1,ξ∈[x,a].

The right rectangle formula was generalized,the asymptotic behaviour of mediant for the right rectangle formula and the generalized right rectangle formula were given.

Focused on the asymptotic behaviour of mediant for fourth order Lagrange s mean value theorem and obtained the main results as followed(lim)x→aξ-ax-a=12 and(lim)x→aξ-ax-a=14n-44~n+3\52~(n+1)-4\53~n-4n(n-1)(n-2)(n-3).

Focused on the asymptotic behaviour of mediant for third order Lagrange s mean value theorem.