Banach空间常微分方程广义解的正则性  

REGULARITY OF GENERALIZED SOLUTIONS FOR DIFFERENTIAL EQUATIONS IN BANACH SPACES

作　　者：李永祥[1] 

机构地区：[1]西北师范大学数学系,甘肃兰州730070

出　　处：《甘肃科学学报》2001年第3期1-6,共6页Journal of Gansu Sciences

基　　金：甘肃省自然科学基金资助 (ZS991 -A2 5 -0 0 7-Z)

摘　　要：证明了 Banach空间中非线性项不连续的常微分方程在 Bochner积分意义下的广义解是几乎处处可微的绝对连续解 。It is shown that every generalized solution in the sense of Bochner integral in an absolutely continuous and almost everywhere differentiable solution for differential equations with discontinuous nonlinear terms in Banach spaces, and vice versa.

关 键 词：BANACH空间 常微分方程 广义解 强解 可微性 Bochner可积性 绝对连续解 

分 类 号：O175.15[理学—数学] O241.81[理学—基础数学]