The authors study the continuity of barrier function Be(x) with respect to the parameter. A sufficient condition which makes Be(x) be continuous with respect to c is obtained, and an example of discontinuity when ...The authors study the continuity of barrier function Be(x) with respect to the parameter. A sufficient condition which makes Be(x) be continuous with respect to c is obtained, and an example of discontinuity when the condition is not satisfied is also constructed.展开更多
基金Project supported by the National Natural Science Foundation of China (No. 10601013)the National Basic Research Program of China and the 973 Project of the Ministry of Science and Technology of China (No.2007CB814804)
文摘The authors study the continuity of barrier function Be(x) with respect to the parameter. A sufficient condition which makes Be(x) be continuous with respect to c is obtained, and an example of discontinuity when the condition is not satisfied is also constructed.