Continuation Methods for Nonlinear Eigenvalue Problems via a Sinc-Galerkin Scheme

  • Jack D. Dockery
  • Nancy J. Lybeck
Part of the Progress in Systems and Control Theory book series (PSCT, volume 15)

Abstract

In this paper we will be looking at semilinear boundary value problems of the form
$$ \begin{gathered} \mathcal{L}u(x)\bar = u^{''} (x) + cu(x) = f(x,u(x),\lambda ),a < x < b \hfill \\ u(a) = u(b) = 0, \hfill \\ \end{gathered} $$
(1.1)
where c is a fixed constant and A is a parameter. Here, a and b need not be finite. This type of problem often arises as the equilibrium problem for a scalar evolution equation. The purpose of this paper is to illustrate the use of the Sinc-Galerkin method for one-parameter problems such as (1.1).

Keywords

Combustion Verse Congo Larg 

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Copyright information

© Springer Science+Business Media New York 1993

Authors and Affiliations

  • Jack D. Dockery
    • 1
  • Nancy J. Lybeck
    • 1
  1. 1.Department of Mathematical SciencesMontana State UniversityBozemanUSA

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