Abstract
This section contains material which is basic to the development of the theory in the subsequent chapters. We shall consider differential equations of the form
using Newton’s fluxie notation \( \dot{x} = dx/dt \). The variable t is a scalar, t ∈ ℝ, often identified with time. The vector function f : G → ℝn is continuous in t and x; G is an open subset of ℝn+1, so x ∈ ℝn.
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© 1996 Springer-Verlag Berlin Heidelberg
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Verhulst, F. (1996). Introduction. In: Nonlinear Differential Equations and Dynamical Systems. Universitext. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-61453-8_1
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DOI: https://doi.org/10.1007/978-3-642-61453-8_1
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-60934-6
Online ISBN: 978-3-642-61453-8
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