Non-almost periodic solutions of limit periodic and almost periodic homogeneous linear difference systems

被引：0

作者：

Chvatal, Martin ^{[1
]}

机构：

[1] Masaryk Univ, Fac Sci, Dept Math & Stat, CZ-61137 Brno, Czech Republic

来源：

ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS | 2014年 / 76期

关键词：

limit periodicity; almost periodicity; almost periodic sequences; almost periodic solutions; limit periodic sequences; linear difference systems; AUTOMORPHIC SOLUTIONS; EQUATIONS; CONSTRUCTION; SEPARATION;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study limit periodic and almost periodic homogeneous linear difference systems. The coefficient matrices of the considered systems are taken from a given commutative group. We mention a condition on the group which ensures that, by arbitrarily small changes, the considered systems can be transformed to new systems, which do not possess any almost periodic solution other than the trivial one. The elements of the coefficient matrices are taken from an infinite field with an absolute value.

引用

页码：1 / 20

页数：20

共 50 条

[1] Almost periodic homogeneous linear difference systems without almost periodic solutions
Vesely, Michal
[J]. JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2012, 18 (10) : 1623 - 1647
[2] Asymptotically almost periodic solutions of limit and almost periodic linear difference systems
Chvatal, Martin
[J]. ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2015, (75)
[3] ALMOST PERIODIC-SOLUTIONS FOR LIMIT PERIODIC SYSTEMS
SEIFERT, G
[J]. SIAM JOURNAL ON APPLIED MATHEMATICS, 1972, 22 (01) : 38 - &
[4] Almost periodic solutions of difference systems
Zhang, SN
[J]. CHINESE SCIENCE BULLETIN, 1998, 43 (24): : 2041 - 2046
[5] Almost periodic solutions of difference systems
ZHANG Shunian Department of Applied Mathematics
[J]. Science Bulletin, 1998, (24) : 2041 - 2046
[6] ALMOST PERIODIC AND PERIODIC SOLUTIONS OF DIFFERENCE EQUATIONS
SELL, GR
[J]. BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1966, 72 (02) : 261 - &
[7] Periodic and almost periodic solutions of strongly non-linear impulsive systems
Akhmetov, M.U.
Perestyuk, N.A.
[J]. Journal of Applied Mathematics and Mechanics (English translation of Prikladnaya Matematika i Mekhanika), 1600, 56 (06):
[8] On the stability in periodic and almost periodic difference systems
Ignatyev, AO
Ignatyev, OA
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 313 (02) : 678 - 688
[9] LIAPUNOV FUNCTIONS AND ALMOST PERIODIC SOLUTIONS FOR ALMOST PERIODIC SYSTEMS
FINK, AM
SEIFERT, G
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 1969, 5 (02) : 307 - &
[10] ASYMPTOTICALLY ALMOST PERIODIC SOLUTIONS OF LIMIT PERIODIC DIFFERENCE SYSTEMS WITH COEFFICIENTS FROM COMMUTATIVE GROUPS
Hasil, Petr
Vesely, Michal
[J]. TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2019, 54 (02) : 515 - 535

← 1 2 3 4 5 →