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

[21] Description of the Structure of Irregularity Sets of Linear Differential Systems with a Linear Parameter
Lipnitskii, A., V
[J]. DIFFERENTIAL EQUATIONS, 2021, 57 (04) : 453 - 467
[22] NOTE ON BOUNDS ON NORM OF A SOLUTION OF A SYSTEM OF NON-LINEAR DIFFERENTIAL EQUATIONS
CHANDRA, J
[J]. PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES INDIA SECTION A-PHYSICAL SCIENCES, 1963, 33 (02): : 239 - &
[23] BOUNDS FOR THE SOLUTIONS OF A CLASS OF TRIDIAGONAL LINEAR-SYSTEMS
LOPEZ, L
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 1994, 202 : 221 - 233
[24] BOUNDS AND ALGORITHM FOR GENERATORS OF SOLUTIONS OF LINEAR DIOPHANTINE SYSTEMS
POTTIER, L
[J]. COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1990, 311 (12): : 813 - 816
[25] BOUNDS ON SOLUTIONS OF LINEAR-SYSTEMS WITH INACCURATE DATA
COPE, JE
RUST, BW
[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS, 1979, 16 (06) : 950 - 963
[26] MINIMAL SOLUTIONS OF LINEAR DIOPHANTINE SYSTEMS - BOUNDS AND ALGORITHMS
POTTIER, L
[J]. LECTURE NOTES IN COMPUTER SCIENCE, 1991, 488 : 162 - 173
[27] New bounds for the solutions of second order linear differential equations
Almenar, Pedro
Jodar, Lucas
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2010, 59 (01) : 468 - 485
[28] Explicit bounds for the solutions of second order linear differential equations
Almenar, Pedro
Jodar, Lucas
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2009, 57 (05) : 789 - 798
[29] Bounds of parameter uncertainties for robust stability of linear uncertain systems
Schreier, G
Ragot, J
Frank, PM
Gissinger, GL
[J]. INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 1998, 29 (01) : 85 - 90
[30] Lower bounds for solutions to a first-order linear homogeneous Volterra integro-differential equation
Iskandarov, S
[J]. DIFFERENTIAL EQUATIONS, 1995, 31 (09) : 1462 - 1466

← 1 2 3 4 5 →