| 金银来,肖功福.二阶常微分方程两点边值问题解的存在性[J].南华大学学报(自然科学版),2001,(3):1~2.[.The Existence of Solutions of Two Point Boundary Value Problem for Second Order Ordinary Differential Equations[J].Journal of University of South China(Science and Technology),2001,(3):1~2.] |
| 二阶常微分方程两点边值问题解的存在性 |
| The Existence of Solutions of Two Point Boundary Value Problem for Second Order Ordinary Differential Equations |
| 修订日期：2001-06-05 |
| DOI： |
| 中文关键词: 边值问题 先验界 同伦不变性 |
| 英文关键词:boundary value,problem boundary,homotopy invariance, |
| 基金项目:国家自然科学基金项目(批准号:10071022),华东师范大学研究生基金. |
| 金银来 肖功福 |
金银来(临沂师范学院数学系,山东临沂,276005)
肖功福(湖南大学衡阳分校,湖南衡阳,421001)
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| 中文摘要: |
| 本文利用Leray-Schuder度的同伦不变性,在非线性扰动项满足渐进一致性增长条件下,研究了一类半线性二阶常微分方程两点边值问题的解的存在性,给出了解存在的一组充分条件. |
| 英文摘要: |
| In this paper,the homotopy invariance of Leray-Schauder degr ee was used for studying the existence of solutions of two-point boundary value pr oblems for a class of semilinear second order ordinary differential equations wh ich satisfies the condition that the nonlinear perturbation term asymptotic grow s uniformly. And a sufficient condition of the existence of solutions was given. |
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