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ArticleOriginal scientific text

Title

Multiple positive solutions to singular boundary value problems for superlinear second order FDEs

Authors 1

Affiliations

  1. Department of Mathematics, Northeast Normal University, Changchun 130024, P.R. China

Abstract

We study the existence of positive solutions to the singular boundary value problem for a second-order FDE ⎧ u'' + q(t) f(t,u(w(t))) = 0, for almost all 0 < t < 1, ⎨ u(t) = ξ(t), a ≤ t ≤ 0, ⎩ u(t) = η(t), 1 ≤ t ≤ b, where q(t) may be singular at t = 0 and t = 1, f(t,u) may be superlinear at u = ∞ and singular at u = 0.

Keywords

ENG
superlinear, fixed point theorem, singular boundary value problem, existence

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Annales Polonici Mathematici
2000/75/3
Export to PBN, Opens in new tab
Pages:
257-270
Main language of publication
English
Received
2000-04-04
Published
2000
Exact and natural sciences