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Nonlinear Boundary Value Problems for Ordinary Differential Equations

In: Parametric Continuation and Optimal Parametrization in Applied Mathematics and Mechanics

Author

Listed:
  • V. I. Shalashilin

    (Moscow Aviation Institute)

  • E. B. Kuznetsov

    (Moscow Aviation Institute)

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.

Suggested Citation

  • V. I. Shalashilin & E. B. Kuznetsov, 2003. "Nonlinear Boundary Value Problems for Ordinary Differential Equations," Springer Books, in: Parametric Continuation and Optimal Parametrization in Applied Mathematics and Mechanics, chapter 0, pages 165-196, Springer.
    • Handle: RePEc:spr:sprchp:978-94-017-2537-8_7
    DOI: 10.1007/978-94-017-2537-8_7
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