Positive Solutions of a Discontinuous One-Dimensional Beam Equation

被引：1

作者：

Rodriguez-Lopez, Jorge ^{[1
]}

机构：

[1] Univ Santiago Compostela, Inst Matemat, Fac Matemat, Dept Estat Anal Matemat & Optimizac, Campus Vida, Santiago 15782, Spain

来源：

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2021年 / 44卷 / 04期

关键词：

Fourth-order problem; Positive solution; Krasnosel'skii theorem; Discontinuous differential equations; Multiplicity result; BOUNDARY-VALUE-PROBLEMS;

D O I：

10.1007/s40840-020-01072-w

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We provide sufficient conditions for the existence of one positive solution for a fourth--order beam equation with a discontinuous nonlinear term. Also a multiplicity result is established. They are based on a recent generalization of the Krasnosel'skii fixed point theorem in cones.

引用

页码：2357 / 2370

页数：14

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