Geodesic
Nonautonomous systems of differential equations in the algebra of generalized functions
Trudy Instituta matematiki, Tome 19 (2011) no. 1, pp. 43-51.

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Some systems of differential nonautonomous equations with generalized coefficients are investigated in the algebra of generalized functions. Some associated solutions of such systems are obtained. 
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A. I. Zhuk; O. L. Yablonskii. Nonautonomous systems of differential equations in the algebra of generalized functions. Trudy Instituta matematiki, Tome 19 (2011) no. 1, pp. 43-51. http://geodesic.mathdoc.fr/item/TIMB_2011_19_1_a4/

[1] Antosik P., Mikusinskii Ya., Sikorskii R., Teoriya obobschennykh funktsii: sekventsialnyi podkhod, M., 1976 | MR | Zbl

[2] Zavalischin S.T., Sesekin A.N., Impulsnye protsessy: modeli i prilozheniya, M., 1991

[3] Das P.S., Sharma R.R., “Existence and stability of measure differential equations”, Czech. Math. J., 22:1 (1972), 145–158 | MR | Zbl

[4] Colombeau J.F., Elementary introduction to new generalized functions, Amsterdam, 1985 | MR

[5] Antonevich A.B., Radyno Ya.V., “Ob obschem metode postroeniya algebr obobschennykh funktsii”, Dokl. AN SSSR, 318:2 (1991), 267–270 | MR | Zbl

[6] Karimova T.I., Yablonskii O.L., “Ob assotsiirovannykh resheniyakh nestatsionarnykh sistem uravnenii v differentsialakh v algebre obobschennykh sluchainykh protsessov”, Vestn. BGU. Ser. 1, 2009, no. 2, 81–86 | MR

[7] Lazakovich N.V., “Stokhasticheskie differentsialy v algebre obobschennykh sluchainykh protsessov”, Dokl. AN Belarusi, 38:5 (1994), 23–27 | MR | Zbl

[8] Yablonski A., “Differential equations with generalized coefficients”, Nonlinear Analysis, 63 (2005), 171–197 | DOI | MR | Zbl

[9] Kovalchuk A.N., Novokhrost V.G., Yablonskii O.L., “Ob approksimatsii differentsialnykh uravnenii s obobschennymi koeffitsientami konechno-raznostnymi uravneniyami s osredneniem”, Izv. vuzov. Matematika, 2005, no. 3, 23–31 | MR

[10] Groh J., “A nonlinear Volterra–Stieltjes integral equation and a Gronwall inequality in one dimension”, Illionois J. Math., 24(2) (1980), 244–263 | MR | Zbl