References
Bellman, R.,Stability Theory of Differential Equations, McGraw-Hill, New York, 1953.
Diliberto, S.,On systems of ordinary differential equations, contributions to the theory of non-linear oscillations. S. Lefschetz, ed., Princeton University Press, 1950, 1–39.
Favard, J., Sur les équations différentielles linéaires a coefficients presque-periodiques.Acta Math., 51 (1928), 31–81.
Lillo, J., On almost periodic solutions of differential equations,Ann. of Math., 69 (1959), 1–19.
Markus, L., Continuous matrices and the stability of differential systems,Math. Z., 62 (1955), 310–319.
Perron, O., Über eine Matrixtransformation,Math. Z., 32 (1930), 465–473.
—, Die Ordnungszahlen linearer Differentialgleichungssysteme,Math. Z., 31 (1930), 748–766.
Author information
Authors and Affiliations
Additional information
This research was sponsored by the Office of Ordnance Research, U.S. Army Contract No. DA-23-072-ORD-1289.
Rights and permissions
About this article
Cite this article
Lillo, J.C. Perturbations of nonlinear systems. Acta Math. 103, 123–138 (1960). https://doi.org/10.1007/BF02546527
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF02546527