时标上右端函数为两项和的集值微分方程解的平方收敛性  

Quadratic Convergence of Solutions for Set-valued Differential Equations with the Sum of Two Terms on Time Scales

作　　者：王培光[1] 吴曦冉 WANG Peiguang;WU Xiran(College of Mathematics and Information Science,Hebei University,Baoding 071002,China)

机构地区：[1]河北大学数学与信息科学学院,保定071002

出　　处：《应用数学学报》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。

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.

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 

分 类 号：O175.12[理学—数学] O177.92[理学—基础数学]