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

Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

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. 
@article{UZKU_2008_150_3_a13,
     author = {O. V. Ibusheva and R. G. Mukharlyamov},
     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},
     pages = {133--139},
     publisher = {mathdoc},
     volume = {150},
     number = {3},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/UZKU_2008_150_3_a13/}
}
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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/