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

Daqing Jiang

Annales Polonici Mathematici (2000)

  • Volume: 75, Issue: 3, page 257-270
  • ISSN: 0066-2216

Abstract

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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.

How to cite

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Jiang, Daqing. "Multiple positive solutions to singular boundary value problems for superlinear second order FDEs." Annales Polonici Mathematici 75.3 (2000): 257-270. <http://eudml.org/doc/208399>.

@article{Jiang2000,
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. },
author = {Jiang, Daqing},
journal = {Annales Polonici Mathematici},
keywords = {superlinear; fixed point theorem; singular boundary value problem; existence; fixed-point theorem},
language = {eng},
number = {3},
pages = {257-270},
title = {Multiple positive solutions to singular boundary value problems for superlinear second order FDEs},
url = {http://eudml.org/doc/208399},
volume = {75},
year = {2000},
}

TY - JOUR
AU - Jiang, Daqing
TI - Multiple positive solutions to singular boundary value problems for superlinear second order FDEs
JO - Annales Polonici Mathematici
PY - 2000
VL - 75
IS - 3
SP - 257
EP - 270
AB - 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.
LA - eng
KW - superlinear; fixed point theorem; singular boundary value problem; existence; fixed-point theorem
UR - http://eudml.org/doc/208399
ER -

References

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