用非线性规划方法辅助求解三阶三点非齐次边值问题

IF 0.7 Q3 MATHEMATICS, APPLIED Differential Equations & Applications Pub Date : 2021-01-01 DOI:10.7153/DEA-2021-13-03

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

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摘要

．在这项工作中，我们考虑在边界处具有非齐次条件的三点三阶方程。应用Avery Peterson定理，给出了在一定条件下该问题存在多个解的理论结果。此外，我们给出了非平凡的例子，并介绍了一种新的基于优化的数值方法。

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Multiple solutions to a third-order three-point nonhomogeneous boundary value problem aided by nonlinear programming methods

. In this work, we consider a third order equation of three points with non-homogeneous conditions at the border. We apply Avery Peterson’s theorem, and present a theoretical result that guarantees the existence of multiple solutions to this problem under certain conditions. In addition, we present non-trivial examples and a new numerical method based on optimization is introduced.

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Differential Equations & Applications MATHEMATICS, APPLIED-

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