On positive solutions of some nonlinear fourth-order beam equations

Zhanbing Bai; Haiyan Wang

doi:10.1016/s0022-247x(02)00071-9

On positive solutions of some nonlinear fourth-order beam equations

Zhanbing Bai, Haiyan Wang

Research output: Contribution to journal › Article › peer-review

205 Scopus citations

Abstract

The existence, uniqueness and multiplicity of positive solutions of the following boundary value problem is considered: u⁽⁴⁾ (t) - λf(t, u(t)) = 0, for 0 < t < 1, u(0) = u(1) = u″(0) = u″(1) = 0, where λ > 0 is a constant, f : [0, 1] × [0, + ∞) → [0, + ∞) is continuous.

Original language	English (US)
Pages (from-to)	357-368
Number of pages	12
Journal	Journal of Mathematical Analysis and Applications
Volume	270
Issue number	2
DOIs	https://doi.org/10.1016/s0022-247x(02)00071-9
State	Published - Jun 15 2002
Externally published	Yes

Keywords

Fixed-point index
Fourth-order BVP
Positive solution

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1016/s0022-247x(02)00071-9

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abstract = "The existence, uniqueness and multiplicity of positive solutions of the following boundary value problem is considered: u(4) (t) - λf(t, u(t)) = 0, for 0 < t < 1, u(0) = u(1) = u″(0) = u″(1) = 0, where λ > 0 is a constant, f : [0, 1] × [0, + ∞) → [0, + ∞) is continuous.",

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AU - Wang, Haiyan

PY - 2002/6/15

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N2 - The existence, uniqueness and multiplicity of positive solutions of the following boundary value problem is considered: u(4) (t) - λf(t, u(t)) = 0, for 0 < t < 1, u(0) = u(1) = u″(0) = u″(1) = 0, where λ > 0 is a constant, f : [0, 1] × [0, + ∞) → [0, + ∞) is continuous.

AB - The existence, uniqueness and multiplicity of positive solutions of the following boundary value problem is considered: u(4) (t) - λf(t, u(t)) = 0, for 0 < t < 1, u(0) = u(1) = u″(0) = u″(1) = 0, where λ > 0 is a constant, f : [0, 1] × [0, + ∞) → [0, + ∞) is continuous.

KW - Fixed-point index

KW - Fourth-order BVP

KW - Positive solution

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EP - 368

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 2

ER -

On positive solutions of some nonlinear fourth-order beam equations

Abstract

Keywords

ASJC Scopus subject areas

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