In this paper, we discuss the property of dual fuzzy matrix equation s solution and propound the concept of minimal solution M and offer the method of determining M.

The structure of the solutions to the limit equation and the existence of minimal solution are also discussed.

Under some specific conditions,two theorems of the calculating formulas are given for the minimal solution of Pell equation.

On the minimum solution related to the comparison theorem

Pell equation and its solution are introduced and also some theorems about minimum solutions of Pell equation are given out.

The minimum solution to the indeterminate equation x 2-Dy 2 =25 is discussed under two circumstances d| 10k and d 1 |10k+1) .

So the best approximation algorithm in this domain,which can draw the mini-max solution of the frequency deviation,is introduced in this paper.

By using the partial order method and some new comparison results,we study the existence of maximal and minimal solutions for initial value problems of system for nonlinear second order integro-differential equations in Banach sapces.

This paper investigates the maximal and minimal solutions of periodic boundary value problems for second order ordinary differential equations in Banach spaces by establishing a comparison result and using the method of lower and upper solutions.

In this paper, the existence of maximal and minimal solutions for boundary value problems for fourth order ordinary differential equations in Banach spaces are discussed.