One-Dimensional Systems

David Betounes ()
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David Betounes: University of Southern Mississippi, Mathematics Department

Chapter Chapter 4 in Differential Equations: Theory and Applications, 2001, pp 115-155 from Springer

Abstract: Abstract The general system of differential equations x’ = X (t, x) reduces considerably in complexity for n = 1, i.e., x ∈ ℝ. Then X is a (time-dependent) vector field on the line ℝ and the geometry of this space is as simple as possible. In this chapter we take advantage of this simplicity to look at additional techniques that are available in one dimension.

Keywords: Integral Curve; Level Curve; Integral Curf; Maximum Interval; Level Curf (search for similar items in EconPapers)
Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4757-4971-7_4

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DOI: 10.1007/978-1-4757-4971-7_4

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