Triple Solutions for Second-order Three-point Boundary Value ProblemsJournal of Mathematical Analysis and Applications
AbstractWe establish the existence of at least three positive solutions to the second-order three-point boundary value problem, u″ + f(t, u) = 0, u(0) = 0, αu(η) = u(1), where η: 0 lt; η < 1, 0 < α < 1/η, andf: [0, 1] × [0, ∞) → [0, ∞) is continuous. We accomplish this by making growth assumptions on f which can apply to many more cases than the sublinear and superlinear ones discussed in recent works.
Department(s)Mathematics and Statistics
Keywords and Phrases
- Three-point boundary value problem,
- multiple solutions,
- fixed points,
Document TypeArticle - Journal
Rights© 2002 Elsevier, All rights reserved.
Citation InformationXiaoming He and Weigao Ge. "Triple Solutions for Second-order Three-point Boundary Value Problems" Journal of Mathematical Analysis and Applications (2002)
Available at: http://works.bepress.com/xiaoming-he/35/