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

Annales Polonici Mathematici (2000)

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

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topJiang, 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 -

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