Nonlinear Boundary Value Problems for Ordinary Differential Equations

V. I. Shalashilin and E. B. Kuznetsov
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V. I. Shalashilin: Moscow Aviation Institute
E. B. Kuznetsov: Moscow Aviation Institute

Chapter Chapter 7 in Parametric Continuation and Optimal Parametrization in Applied Mathematics and Mechanics, 2003, pp 165-196 from Springer

Abstract: Abstract In previous chapters the examples of the best parametrization were considered for problems, the solutions of which were the simplest one-parameter sets, 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.

Keywords: Ordinary Differential Equation; Vector Function; Nonlinear Boundary; Euler Method; Homogeneous Problem (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-017-2537-8_7

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DOI: 10.1007/978-94-017-2537-8_7

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