Abstract
We shall consider mainly nonlinear systems of the form
where A(t) is a square matrix whose elements are constants, or functions of t continuous for t≧0, and where f(t, x) is a vector function of t and x, continuous for all t≧0 and x∈U, where U is a neighborhood of x=0 in E n . We shall also suppose f (t, 0) = 0 for all t so that x=0 is a trivial solution of system (6.1.1).
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© 1959 Springer-Verlag Berlin Heidelberg
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Cesari, L. (1959). Nonlinear systems. In: Asymptotic Behavior and Stability Problems in Ordinary Differential Equations. Ergebnisse der Mathematik und Ihrer Grenzgebiete, vol N. F., 16. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-40368-6_3
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DOI: https://doi.org/10.1007/978-3-662-40368-6_3
Publisher Name: Springer, Berlin, Heidelberg
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