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
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。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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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