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CLC number: O175.8
On-line Access: 2024-08-27
Received: 2023-10-17
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Existence of solutions and positive solutions to a fourth-order two-point BVP with second derivative
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YAO Qing-liu. Existence of solutions and positive solutions to a fourth-order two-point BVP with second derivative[J]. Journal of Zhejiang University Science A, 2004, 5(3): 353-357.
@article{title="Existence of solutions and positive solutions to a fourth-order two-point BVP with second derivative",
author="YAO Qing-liu",
journal="Journal of Zhejiang University Science A",
volume="5",
number="3",
pages="353-357",
year="2004",
publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.2004.0353"
}
%0 Journal Article
%T Existence of solutions and positive solutions to a fourth-order two-point BVP with second derivative
%A YAO Qing-liu
%J Journal of Zhejiang University SCIENCE A
%V 5
%N 3
%P 353-357
%@ 1869-1951
%D 2004
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.2004.0353
TY - JOUR
T1 - Existence of solutions and positive solutions to a fourth-order two-point BVP with second derivative
A1 - YAO Qing-liu
J0 - Journal of Zhejiang University Science A
VL - 5
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SP - 353
EP - 357
%@ 1869-1951
Y1 - 2004
PB - Zhejiang University Press & Springer
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DOI - 10.1631/jzus.2004.0353
Abstract: Several existence theorems were established for a nonlinear fourth-order two-point boundary value problem with second derivative by using Leray-Schauder fixed point theorem, equivalent norm and technique on system of integral equations. The main conditions of our results are local. In other words, the existence of the solution can be determined by considering the “height” of the nonlinear term on a bounded set. This class of problems usually describes the equilibrium state of an elastic beam which is simply supported at both ends.
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