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2008 Qualitative behavior and computation of multiple solutions of singular nonlinear boundary value problems
Grey Ballard, John Baxley
Involve 1(1): 21-31 (2008). DOI: 10.2140/involve.2008.1.21

Abstract

We consider boundary value problems of the form

y=f(t,y),y(0)=0,y(1)=0,

motivated by examples where f(t,y)=ϕ(t)g(y) and g(y) behave like yλ (λ>0) as y0+. 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.

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Grey Ballard. John Baxley. "Qualitative behavior and computation of multiple solutions of singular nonlinear boundary value problems." Involve 1 (1) 21 - 31, 2008. https://doi.org/10.2140/involve.2008.1.21

Information

Received: 28 October 2007; Accepted: 28 October 2007; Published: 2008
First available in Project Euclid: 20 December 2017

zbMATH: 1151.34309
MathSciNet: MR2403064
Digital Object Identifier: 10.2140/involve.2008.1.21

Subjects:
Primary: 34B16 , 65L10

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

Rights: Copyright © 2008 Mathematical Sciences Publishers

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