Titlebook: Parametric Continuation and Optimal Parametrization in Applied Mathematics and Mechanics; V. I. Shalashilin,E. B. Kuznetsov Book 2003 Spri

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Nonlinear Algebraic or Transcendental Equations with a Parameter,s 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), i

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The Cauchy Problem for Ordinary Differential Equations,oblem is a smooth integral curve in the space of unknowns and parameter, i.e., a one — parametric set similar to those considered at the previous chapter. This allows us to consider the Cauchy problem within the framework of the method of parametric continuation. Such a view leads to the formulation

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,Functional — Differential Equations,l value problem (the Cauchy problem) for the functional differential equations. The equations with nonlocal retarded argument and integro differential equations can be included into this class of problems.

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Nonlinear Boundary Value Problems for Ordinary Differential Equations,s, i.e., curves in Euclidean space. Here we consider a more complicated case of nonlinear boundary value problem for ordinary differential equations (ODE) with a parameter. Solution of this problem is a one-parameter set of curves.

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Continuation of the Solution near Singular Points,lar and limit points of the solution set of nonlinear system equations. From standpoint of the continuation algorithm, it is, therefore, unnecessary to introduce the concept of a limit point. Further to the discussion in chapter 1, here the primary attention is given to analysis of the behavior of t

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V. I. Shalashilin,E. B. Kuznetsoverweisen. Neben dem erwähnten Vertrauen scheint Komplizenschaft eine wichtige Ingredienz gelingender Immersion zu sein. Ihr Umschlag in Mitschuld wirft die Frage auf, ob die Geiselhaft der Zuschauer und Zuschauerinnen ein Gegengift gegen die immersiven Zumutungen darstellt.