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Zbl 1039.34018
Liu, B.
Positive solutions of fourth-order two point boundary value problems.
(English)
[J] Appl. Math. Comput. 148, No. 2, 407-420 (2004). ISSN 0096-3003

Summary: 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.
MSC 2000:
*34B18 Positive solutions of nonlinear boundary value problems

Keywords: Positive solution; Boundary value problems; Cone

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Scientific prize winners of the ICM 2010
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Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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