Abstract
Solutions of many typical mathematical problems are often given by sets depending continuously on one parameter and differentiable with respect to this parameter. A continuous smooth curve in a multidimensional space is the simplest example of such a set. For instance, it can be a solution of a system of nonlinear equations with parameter. Other examples are integral curve of Cauchy problem for a system of ordinary differential equations (ODE), interpolating or approximating curve, etc.
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© 2003 Springer Science+Business Media Dordrecht
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Shalashilin, V.I., Kuznetsov, E.B. (2003). Nonlinear Algebraic or Transcendental Equations with a Parameter. In: Parametric Continuation and Optimal Parametrization in Applied Mathematics and Mechanics. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-2537-8_1
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DOI: https://doi.org/10.1007/978-94-017-2537-8_1
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-6391-5
Online ISBN: 978-94-017-2537-8
eBook Packages: Springer Book Archive