In this paper, a lower approximating algorithm of large-scale concave quadratic programming in unbounded domain is constructed.

The existence of positive solutions for the subcritical p-Laplace equations in some unbounded domains is proved and the corresponding result in case p=2 obtained recently by A.

A nonlinear boundary value problem with conjugate and shift for regular function vectors on unbounded domains in real Clifford analysis is considered.

This thesis is mainly a contribution to the study of longtime behaviors of semilinear parabolic equation on unbounded domains.

In this paper, the long time behavior of solution for GBBM equations on the unbounded domains R~n was studied.

In this paper, exponential attractor for nonlinear strain wave equation coupling with nonlinear Schrodinger equation on unbounded domain R3 is considered.

This paper studied the K- S equation in an unbounded domain.

This paper applies integrative alternation to solve the boundless domain’s and semi-boundless domains transport equation, and directly gets the similar D’ALEMBERT’S formula of the boundless domain’s tranport equation, then applies the formula to disucss the semi-boundless domain’s solution under all kinds of the zero boundnary conditions.

By means of the global existence theorems of the initial problems of ODEs in the open unbounded region,the three global existence theorems of the initial problems of ODEs in half closed unbounded region G ′ are given.