摘要
研究了一类带有系数矩阵的分数阶共振边值问题.首先,定义2个合适的Banach空间;然后,在Banach空间中构造恰当的算子并使用仿伪逆矩阵的性质及Mawhin的重合度理论,得到了其解的存在性;最后,给出一个例子来验证主要结果.
This paper studies the fractional boundary value problems(BVPs)with a matrix of coefficients at resonance.First,we construct two suitable Banach spaces.Then,the existence of fractional vector BVPs is obtained by defining an appropriate operator in Banach space using the properties of pseudoinverse matrices and Mawhin's coincidence degree theory.Finally,we give examples to illustrate the main results.
作者
司换敏
江卫华
王璐瑶
SI Huanmin;JIANG Weihua;WANG Luyao(School of Science,Hebei University of Science and Technology,Hebei Shijazhuang 050018,China)
出处
《河北师范大学学报(自然科学版)》
CAS
2024年第4期345-354,共10页
Journal of Hebei Normal University:Natural Science
基金
国家自然科学基金(11775169)
河北省自然科学基金(A2018208171)。
关键词
常微分方程
向量边值问题
仿伪逆矩阵
Mawhin的重合度理论
共振
ordinary differential equation
vector boundary value problem
pseudo-inverse matrix
Mawhin's coincidence degree theory
resonance