Estimates for the embedding operator of a sobolev space of periodic functions and for the solutions of differential equations with periodic coefficients

被引：0

作者：

A. G. Baskakov

K. S. Kobychev

机构：

[1] Voronezh State University,

来源：

Differential Equations | 2011年 / 47卷

关键词：

Hilbert Space; Sobolev Space; Evolution Operator; Unbounded Operator; Complex Banach Space;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We obtain estimates for the embedding operator of a Sobolev space in the space of continuous periodic functions and use them to estimate the solutions of differential equations with periodic coefficients. We prove a theorem on a necessary and sufficient condition for the invertibility of a differential operator with unbounded operator coefficients.

引用

页码：609 / 619

页数：10

共 6 条

[1] Baskakov A.G.(2003)Estimates for Bounded Solutions of Linear Differential Equations Differ. Uravn. 39 413-415
[2] Perov A.I.(2007)Frequency Criteria for the Existence of Bounded Solutions Differ. Uravn. 43 896-904
[3] Sobolev S.L.(1938)On a Theorem of Functional Analysis Mat. Sb. 446 471-497
[4] Baskakov A.G.(2009)Spectral Analysis of Differential Operators with Unbounded Operator-Valued Coefficients, Difference Relations, and Semigroups of Difference Relations Izv. RAN Ser. Mat. 73 3-68
[5] Baskakov A.G.(2010)Difference Operators in the Investigation of Differential Operators: Estimates for Solutions Differ. Uravn. 46 210-219
[6] Sintyaev Yu.V.(undefined)undefined undefined undefined undefined-undefined

← 1 →