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论文摘要

完全三阶边值问题解的存在性

Existence of solutions of a third-order boundary value problem

作者:李菊鹏(西北师范大学数学与统计学院);李永祥(西北师范大学数学与统计学院)

Author:LI Ju-Peng(College of Mathematics and Statistics, Northwest Normal University);LI Yong-Xiang(College of Mathematics and Statistics, Northwest Normal University)

收稿日期:2017-11-15          年卷(期)页码:2018,55(4):688-692

期刊名称:四川大学学报: 自然科学版

Journal Name:Journal of Sichuan University (Natural Science Edition)

关键字:完全三阶边值问题;超线性增长;Nagumo型增长条件;Leray-schauder不动点定理

Key words:Fully three order boundary value problem; Superlinear growth; Nagumo-type growth condition; Leray-schauder fixed point theorem

基金项目:国家自然科学基金(11261053,11661071)

中文摘要

本文讨论完全三阶两点边值问题解的存在性,其中f为连续函数.当f满足关于x,y,z超线性增长的不等式条件及f关于z满足Nagumo型增长条件时,本文应用Leray-schauder不动点定理获得了该问题解的存在性.

英文摘要

In this paper,the existence of solutions of a class of fully third order boundary value problem is considered, where f is continuous. Applying the Leray-schauder fixed point theorem, the existence of solutions is obtained under f satisfies an inequality condition that allows f superlinear growth and f satisfies the Nagumo-type growth condition on z.

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