THE EXISTENCE QUESTION IN THE CALCULUS OF VARIATIONS - A DENSITY RESULT

被引：23
|
作者：
CELLINA, A [1 ]
MARICONDA, C [1 ]
机构：
[1] UNIV PADUA,DEPT MATH,I-35100 PADUA,ITALY
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1994年 / 120卷 / 04期
关键词：
CALCULUS OF VARIATIONS; SUBDIFFERENTIAL; RELAXED PROBLEM; BIPOLAR; LIAPUNOV; MEASURABLE PARTITION; EQUIINTEGRABILITY;
D O I：
10.2307/2160230
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We show the existence of a dense subset D of C(R) such that, for g in it, the problem minimum integral-T/0 g(x(t))dt + integral-T\0 h(x'(t))dt, x(0) = a, x(T) = b admits a solution for every lower semicontinuous h satisfying growth conditions
引用
收藏
页码：1145 / 1150
页数：6
相关论文
共 50 条
12345