Geodesic
Construction of Non-Autonomous System of Differential Equations on Given Particular Integrals in Multidimentional Space
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, Tome 150 (2008) no. 3, pp. 133-139 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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     title = {Construction of {Non-Autonomous} {System} of {Differential} {Equations} on {Given} {Particular} {Integrals} in {Multidimentional} {Space}},
     journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
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O. V. Ibusheva; R. G. Mukharlyamov. Construction of Non-Autonomous System of Differential Equations on Given Particular Integrals in Multidimentional Space. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, Tome 150 (2008) no. 3, pp. 133-139. http://geodesic.mathdoc.fr/item/UZKU_2008_150_3_a13/

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