摘要
为了研究一类非线性三阶三点边值问题,利用Mawhin连续性定理,得到该问题解的存在性的充分条件,并应用Taylor定理对解进行先验估计。所用技术在一定程度上开拓了该类问题解的先验估计的思路。
In order to study a class of nonlinear third-order three-point boundary value problem,this paper introduces the sufficient conditions of the existence of solutions to the problem obtained by using the Mawhin coincidence degree theory and the first application of Taylor theorem to priori estimate of the solution.The proposed skill serves to enrich the priori estimate of the solution.
出处
《黑龙江科技学院学报》
CAS
2010年第3期233-236,共4页
Journal of Heilongjiang Institute of Science and Technology
关键词
非线性微分方程
共振
迭合度
存在性
nonlinear differential equation
resonance
coincidence degree
existence
