ON THE UNSTABLE INITIAL COMPLEMENT IN EXPONENTIAL DICHOTOMY ON THE HALF-LINE

被引：0

作者：

Sasu, Adina Luminita ^{[1
]}

Sasu, Bogdan ^{[1
]}

机构：

[1] W Univ Timisoara, Fac Math & Comp Sci, Dept Math, Timisoara 300223, Romania

来源：

ANALELE STIINTIFICE ALE UNIVERSITATII AL I CUZA DIN IASI-SERIE NOUA-MATEMATICA | 2008年 / 54卷 / 02期

关键词：

exponential dichotomy; evolution family; input-output equation;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The paper emphasizes the recent progress in the study of exponential dichotomy on the half-line in terms of input-output techniques. We discuss the uniqueness problem of the projections family in exponential dichotomy on the half-line. We point out that if a an evolution family is uniformly exponentially dichotomic with respect to a family of projections, then it. remains uniformly exponentially dichotomic with a family of projections determined by the arbitrary choice of the initial unstable subspace.

引用

页码：279 / 291

页数：13

共 50 条

[1] Admissibility and nonuniform exponential dichotomy on the half-line
Sasu, Adina Luminita
Babutia, Mihai Gabriel
Sasu, Bogdan
[J]. BULLETIN DES SCIENCES MATHEMATIQUES, 2013, 137 (04): : 466 - 484
[2] Uniform dichotomy and exponential dichotomy of evolution families on the half-line
Sasu, Bogdan
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 323 (02) : 1465 - 1478
[3] Exponential dichotomy and (lp, lq)-admissibility on the half-line
Sasu, B
Sasu, AL
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 316 (02) : 397 - 408
[4] Exponential stability, exponential expansiveness, and exponential dichotomy of evolution equations on the half-line
Van Minh, N
Rabiger, F
Schnaubelt, R
[J]. INTEGRAL EQUATIONS AND OPERATOR THEORY, 1998, 32 (03) : 332 - 353
[5] Exponential stability, exponential expansiveness, and exponential dichotomy of evolution equations on the half-line
Frank Nguyen Van Minh
Roland Räbiger
[J]. Integral Equations and Operator Theory, 1998, 32 (3) : 332 - 353
[6] Exponentially dichotomous operators and exponential dichotomy of evolution equations on the half-line
Huy, NT
[J]. INTEGRAL EQUATIONS AND OPERATOR THEORY, 2004, 48 (04) : 497 - 510
[7] (Lp, Lq)-admissibility and exponential dichotomy of evolutionary processes on the half-line
Preda, P
Pogan, A
Preda, C
[J]. INTEGRAL EQUATIONS AND OPERATOR THEORY, 2004, 49 (03) : 405 - 418
[8] Exponential dichotomy of difference equations and applications to evolution equations on the half-line
Huy, NT
Van Minh, N
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2001, 42 (3-5) : 301 - 311
[9] Exponential dichotomy of evolution equations and admissibility of function spaces on a half-line
Huy, Nguyen Thieu
[J]. JOURNAL OF FUNCTIONAL ANALYSIS, 2006, 235 (01) : 330 - 354
[10] Exponentially Dichotomous Operators and Exponential Dichotomy of Evolution Equations on the Half-Line
Nguyen Thieu Huy
[J]. Integral Equations and Operator Theory, 2004, 48 : 497 - 510

← 1 2 3 4 5 →