Positive solutions of fourth-order two point boundary value problems

In this paper, by using the Krasnoselskii fixed point theorem, we study the existence of one or multiple positive solution of the fourth-order two point boundary value problem y (4)( t)= f( t, y( t), y ′′( t)), y(0)= y(1)= y ′′(0)= y ′′(1)=0. We also give some examples to illustrate our results....

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Bibliographic Details
Published in:Applied mathematics and computation 2004-01, Vol.148 (2), p.407-420
Main Author: Liu, B.
Format: Article
Language:English
Subjects:
Boundary value problems
Cone
Exact sciences and technology
Mathematical analysis
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Partial differential equations, boundary value problems
Positive solution
Sciences and techniques of general use
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Summary:In this paper, by using the Krasnoselskii fixed point theorem, we study the existence of one or multiple positive solution of the fourth-order two point boundary value problem y (4)( t)= f( t, y( t), y ′′( t)), y(0)= y(1)= y ′′(0)= y ′′(1)=0. We also give some examples to illustrate our results.
ISSN:0096-3003
1873-5649
DOI:10.1016/S0096-3003(02)00857-3