Solvability of the Cauchy problem for linear operator-differential equations with variable operator coefficients

被引：0
作者：
M. K. Balaev
机构：
[1] National Academy of Sciences of Azerbaijan,Institute of Mathematics and Mechanics
来源：
Mathematical Notes | 2011年 / 90卷
关键词：
linear operator-differential equation; Cauchy problem; Banach space; semigroup; Höolder continuity; evolution equation;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We study the Cauchy problem for linear operator-differential equations with unbounded, nondensely defined, variable operator coefficients in a Banach space. We single out new classes of evolution equations of first and second order for which the Cauchy problem is solvable.
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页码：651 / 665
页数：14
相关论文
共 8 条
  • [1] Tanabe H.(1960)On the equations of evolution in a Banach space Osaka Math. J. 12 363-376
  • [2] Yagi A.(1989)Parabolic evolution equations in which the coefficients are generators of infinity differentiable semigroups Funkcial. Ekvac. 32 107-124
  • [3] Sil’chenko Yu. T.(1986)Solvability of the Cauchy problem for an evolution equation in a Banach space with a nondensely defined operator coefficient generating a semigroup with a singularity Sibirsk. Mat. Zh. 27 93-104
  • [4] Sobolevskii P. E.(1993)Evolution equations with a nondensely defined operator coefficient Sibirsk. Mat. Zh. 34 166-169
  • [5] Sil’chenko Yu. T.(1990)Cauchy problem for abstract evolution equations of parabolic type J. Math. Kyoto Univ. 30 59-91
  • [6] Kawatsu S.(1996)Cauchy problem for second-order linear differential equations with variable operator coefficients Mat. Zametki 60 149-152
  • [7] Sil’chenko Yu. T.(1999)On evolution equations with variable operator coefficients Dokl. Akad. Nauk Azerbaidzhana 55 44-50
  • [8] Balaev M. K.(undefined)undefined undefined undefined undefined-undefined
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