This article is cited in 3 papers

Construction of Non-Autonomous System of Differential Equations on Given Particular Integrals in Multidimentional Space

O. V. Ibusheva^a, R. G. Mukharlyamov<sup>b

a</sup> Nizhnekamsk Institute for Chemical Technology
^b Peoples Friendship University of Russia

Abstract: The present paper proposes a method of constructing non-autonomous system of differential equations with given properties of particular solutions. The conditions of stability of the set of system's solutions are defined. The problem of constructing non-autonomous two-order system of differential equations on given particular solution is considered.

Keywords: non-autonomous system of differential equations, particular solution, stability condition.

UDC: 517.925.5

Received: 28.05.2008