Qualitative behavior and computation of multiple solutions of singular nonlinear boundary value problems

motivated by examples where $f (t, y) = ϕ (t) g (y)$ and $g (y)$ behave like $y^{- λ}$ ( $λ > 0$ ) as $y \to 0^{+}$ . We explore conditions under which such problems have multiple positive solutions, investigate qualitative behavior of these solutions, and discuss computational methods for approximating the solutions.

Keywords

singular nonlinear boundary value problems, multiple solutions, shooting, computation, qualitative behavior

Mathematical Subject Classification 2000

Primary: 34B16, 65L10

Milestones

Received: 28 October 2007

Accepted: 28 October 2007

Published: 28 February 2008

Communicated by Kenneth S. Berenhaut

Authors

Grey Ballard
Department of Mathematics Wake Forest University Winston-Salem, NC 27106 United States

John Baxley
Department of Mathematics Wake Forest University Winston-Salem, NC 27106 United States

Vol. 1, No. 1, 2008

Grey Ballard and John Baxley

Abstract

Keywords

Mathematical Subject Classification 2000

Milestones

Authors