By means of the convex method,a discussion about the blow-up of classical solutions and weak solutions of the nonlinear hyperbolic equations with boundary conditions is presented, and the blow-up property of these solutions under certain conditions is obtained, and also the estimation of blow-up time is given.

By applying the maximum value theory of parabolic equation and convex method,it is proved that the blow up of solution in a definite time under some assumed conditions.

Convex Cone Structure of Fuzzy Choquet-integrable Functions Spaces;

This paper introduces the definition of common quadratic Lyapunov functions and proves that the set which consists of all the common quadratic Lyapunov functions is a convex cone.

Based on theory of convex cones,our extensions of robust linear optimization are done in three directions.

The problem of the existence of a cone subdifferential for the cone convex set valued maps in the locally convex, linear and topological vector space is discussed.

cone continuous cone convex function is discussed.