IJPAM: Volume 70, No. 5 (2011)

BOUNDED SOLUTIONS OF
THE NONLINEAR DIFFERENTIAL SYSTEMS

Dusan Macura$^1$, Anna Macurova$^2$
$^1$Department of Physics, Mathematics and Technology
Science University of Presov
17-th November, 080 01, Presov, SLOVAK REPUBLIC
$^2$Department of Mathematics, Informatics and Cybernetics
Faculty of Manufacturing with the Seat in Presov
Technical University Kosice
Bayerova 10, 080 01 Presov, SLOVAK REPUBLIC


Abstract. In this paper some bounded solutions of the nonlinear differential system $x_{i}^{,}=\sum _{j=1}^{n}f_{ij}(t,x)x_{j},\ i=1,2,\dots ,n,$ where $f_{ij}(t,x)\in C_{0}(D \equiv \langle t_{0},\infty ) \times R^{n},R),$ for all $i,j=1,2,\dots ,n $ are investigated using transformation in generalized cylindrical coordinates.

Received: February 22, 2011

AMS Subject Classification: 34A34

Key Words and Phrases: nonlinear differential system, bounded solutions

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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2011
Volume: 70
Issue: 5