Homogenization of linear and nonlinear ordinary differential equations with time depending coefficients
Rendiconti del Seminario Matematico della Università di Padova, Tome 99 (1998), pp. 133-159.
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     author = {Petrini, Milena},
     title = {Homogenization of linear and nonlinear ordinary differential equations with time depending coefficients},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     pages = {133--159},
     publisher = {Seminario Matematico of the University of Padua},
     volume = {99},
     year = {1998},
     mrnumber = {1636595},
     zbl = {0907.34045},
     language = {en},
     url = {http://www.numdam.org/item/RSMUP_1998__99__133_0/}
}
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Petrini, Milena. Homogenization of linear and nonlinear ordinary differential equations with time depending coefficients. Rendiconti del Seminario Matematico della Università di Padova, Tome 99 (1998), pp. 133-159. http://www.numdam.org/item/RSMUP_1998__99__133_0/

[1] R. Alexandre, Homogénéisation de certaines équations du type transpod, Thèse de doctorat, Univ. Paris VI (1993).

[2] L. Ambrosio - P. D'ANCONA - S. MORTOLA, Γ-convergence and least square methods, Ann. Mat. Pura Appl., (IV), 166 (1994), pp. 101-127. | Zbl

[3] Y. Amirat - K. Hamdache - A. Ziani, Homogeneisation d'équations hyperboliques du premier ordre et applications aux écoulements miscibles en milieu poreux, Ann. Inst. Henri Poincaré, Anal. Nonlin. 6 (1989), pp. 397-417. | Numdam | MR | Zbl

[4] Y. Amirat - K. Hamdache - A. Ziani, Homogenization of parametrized families of hyperbolic problems, Proc. Roy. Soc. of Edinburg, 120A (1992), pp. 199-221. | Zbl

[5] Y. Amirat - K. Hamdache - A. Ziani, Some results on homogenization of convection diffusion equations, Arch. Rat. Mech. Anal., 114 (1991), pp. 155-178. | MR | Zbl

[6] Y. Amirat - K. Hamdache - A. Ziani, Kinetic formulation for a transport equation with memory, Comm. in P.D.E., 16, n. 8-9 (1991), pp. 1287-1311. | MR | Zbl

[7] Y. Amirat - K. Hamdache - A. Ziani, On homogenization of ordinary differential equations and linear transport equations, in Calculus of Variations, Homogenization and Continuum Mechanics, Series on Advances in Mathematics for applied Sciences, vol. 18, pp. 29-50. | MR | Zbl

[8] N. Antonic, H-measures applied to symmetric systems, Research Report, Carnegie Mellon University, 92-NA-014 (1992).

[9] T.A. Burton, Volterra and Differential Equations, Academic Press (1983). | MR | Zbl

[10] W. E., Homogenization of linear and nonlinear transport equations, Comm. Pure Appl. Math., 45, (3) (1992), pp. 301-326. | MR | Zbl

[11] F. Golse, Remarques sur l'homogénéisation pour l'equation de transport, C. R. Acad. Sci. Paris, 305 (1987), pp. 801-804. | MR | Zbl

[12] V. Lakshmikantham - S. Leela, Differential and Integral Inequalities, Academic Press (1969).

[13] M.L. Mascarenhas, A linear homogenization problem with time dependent coefficient, Trans. of A.M.S., 281 (1984), pp. 179-185. | MR | Zbl

[14] S. Migorski - S. Mortola - J. Traple, Homogenization of first order differential operators, Rend. Acad. Naz. Sci. XL, Mem. Mat. (5), 16 (1992), pp. 259-276. | MR | Zbl

[15] L. Tartar, Compensated compactness and applications to P.D.E., Nonlinear analysis and mechanics, Heriot-Watt symposium (R. J. Knops, ed.), Research Notes in Math., vol. 4-39, Pitman Press (1979), pp. 136-212. | MR | Zbl

[16] L. Tartar, Non local effects induced by homogenization, in P.D.E. and Calculus of Variations. Essays in honour of E. De Giorgi, Vol. 2, Birkhauser (1989), pp. 925-938. | MR | Zbl

[17] L. Tartar, Memory effects and homogenization, Arch. Rat. Mech. Anal. (1990), pp. 121-133. | MR | Zbl