摘要
本文讨论了一类时标上右端函数为两项和的集值微分方程解的收敛性问题.首先引入时标上集值函数的Hukuhara导数意义下的Δ偏导数概念,并给出了时标上集值微分系统的比较原理.对于所构造的迭代序列,通过利用广义拟线性化方法和分析技巧,得到了上述问题近似解的平方收敛结果.
In this paper,we investigate the convergence for a class of set-valued differential equations with the sum of two terms as the right hand function on time scales.Firstly,we introduce the concept ofΔ-partial derivatives of set-valued functions on time scales in the sense of Hukuhara derivative,and obtain the comparison principles of set-valued differential system on time scales.For the constructed approximate iterative sequences,by using the generalized quasilinearization method and analysis technique,the quadratic convergence of the approximate solutions for above problem is obtained.
作者
王培光
吴曦冉
WANG Peiguang;WU Xiran(College of Mathematics and Information Science,Hebei University,Baoding 071002,China)
出处
《应用数学学报》
CSCD
北大核心
2022年第5期637-651,共15页
Acta Mathematicae Applicatae Sinica
基金
国家自然科学基金(12171135,11771115)资助项目。
关键词
时标
集值微分方程
比较原理
广义拟线性化方法
耦合上下解
time scales
set-valued differential equations
comparison principle
generalized quasilinearization
coupled lower and upper solutions
