Perturbations of an abstract Euler-Poisson-Darboux equation

被引:4
作者
Glushak, AV [1 ]
机构
[1] VORONEZH STATE UNIV,VORONEZH 394693,RUSSIA
关键词
abstract Cauchy problem; uniform correctness; perturbation theory; stability;
D O I
10.1007/BF02320363
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The stability of the uniform correctness of the Cauchy problem u ''(t) + k/tu'(t) = Au(t), t > 0, u(0) = u(0), u'(0) = 0, for k > 0 with respect to perturbations of the operator A is studied.
引用
收藏
页码:269 / 273
页数:5
相关论文
共 6 条
  • [1] GLUSHAK AV, 1986, IZV VUZ MAT+, P55
  • [2] GLUSHAK V, 1992, DIFFERENTSIAL NYE UR, V28, P831
  • [3] Kato T., 1976, Grundlehren der Mathematischen Wissenschaften, V132
  • [4] KOSTIN VA, 1989, DOKL AKAD NAUK SSSR+, V307, P796
  • [5] Levitan B.M., 1951, Usp. Mat. Nauk, V1, P102
  • [6] VASILEV VV, 1990, ITOGI NAUKI TEKHNIKI, P87