Lower bounds for the norm of solutions of linear differential systems with a linear parameter

被引：0

作者：

Lipnitskii, A. V. ^{[1
]}

机构：

[1] Natl Acad Sci, Inst Math, Minsk, BELARUS

来源：

DIFFERENTIAL EQUATIONS | 2014年 / 50卷 / 03期

关键词：

Lyapunov Exponent; Primary Resonance; Recursion Formula; Characteristic Exponent; Linear Parameter;

D O I：

10.1134/S001226611403015X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For a special class of two-dimensional linear differential systems including Lyapunov irregular almost periodic systems constructed by V.M. Millionshchikov, we prove the nonexistence of upper bounds for the norms of solutions uniform with respect to t a parts per thousand yen 0 and A mu a a"e.

引用

页码：410 / 414

页数：5

共 50 条

[1] Lower bounds for the norm of solutions of linear differential systems with a linear parameter
A. V. Lipnitskii
[J]. Differential Equations, 2014, 50 : 410 - 414
[2] UPPER AND LOWER BOUNDS OF SOLUTIONS OF SYSTEMS OF LINEAR-DIFFERENTIAL EQUATIONS
GIL, MI
[J]. DIFFERENTIAL EQUATIONS, 1987, 23 (12) : 1362 - 1366
[3] Time-Varying Vector Norm and Lower and Upper Bounds on the Solutions of Uniformly Asymptotically Stable Linear Systems
Vrabel, Robert
[J]. MATHEMATICS, 2020, 8 (06)
[4] UPPER AND LOWER BOUNDS OF NORM OF SOLUTIONS OF NON-LINEAR VOLTERRA INTEGRAL EQUATIONS
MOHANARAO, MR
[J]. PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES INDIA SECTION A-PHYSICAL SCIENCES, 1963, 33 (02): : 263 - &
[5] Lower bounds for the heights of solutions of linear equations
Schlickewei, HP
Wirsing, E
[J]. INVENTIONES MATHEMATICAE, 1997, 129 (01) : 1 - 10
[6] Lower bounds for the heights of solutions of linear equations
H. P. Schlickewei
E. Wirsing
[J]. Inventiones mathematicae, 1997, 129 : 1 - 10
[7] Concerning the asymptotic illustration of solutions of the linear differential systems as function of a parameter
Schlesinger, L
[J]. MATHEMATISCHE ANNALEN, 1907, 63 : 277 - 300
[8] H∞-norm computation for linear systems with parameter perturbations
Hwang, C
Chen, JJ
Cheng, SL
[J]. ROBUST CONTROL DESIGN (ROCODN'97): A PROCEEDINGS VOLUME FROM THE IFAC SYMPOSIUM, 1997, : 261 - 266
[9] The asymptotic bounds of solutions of linear delay systems
Cermak, J
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1998, 225 (02) : 373 - 388
[10] BOUNDS FOR SOLUTIONS OF SYSTEMS OF LINEAR-EQUATIONS
VAALER, JD
VANDERPOORTEN, AJ
[J]. BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 1982, 25 (01) : 125 - 132

← 1 2 3 4 5 →