具有非线性边界条件的四阶方程的多重解:理论和数值方面

IF 0.7 Q3 MATHEMATICS, APPLIED

Differential Equations & Applications Pub Date : 2019-01-01 DOI:10.7153/DEA-2019-11-15

C. Martinez, A. Martinez, G. Bressan, E. V. Castelani, Roberto Molina de Souza

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引用次数: 2

摘要

。本文研究具有非线性边界条件的四阶方程。基于Avery-Peterson不动点定理，给出了问题多重解的存在性。这项工作也是一项基于Levenberg- Maquardt方法的数值解决方案的研究，该方法对初始点采用启发式策略，提出了数值确定所处理问题的多个解决方案。

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Multiple solutions for a fourth order equation with nonlinear boundary conditions: theoretical and numerical aspects

. We consider in this work the fourth order equation with nonlinear boundary condi- tions. We present the result for the existence of multiple solutions based on the Avery-Peterson ﬁ xed-point theorem. This work is also a study for numerical solutions based on the Levenberg- Maquardt method with a heuristic strategy for initial points that proposes to numerically deter-mine multiple solutions to the problem addressed.

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Differential Equations & Applications MATHEMATICS, APPLIED-

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