集值泛函微分方程解的二次逼近

IF 1 4区数学 Q3 MATHEMATICS, APPLIED

Journal of Applied Analysis and Computation Pub Date : 2021-01-01 DOI:10.11948/20200133

Peiguang Wang, Yameng Wang

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引用次数: 3

摘要

研究具有初值条件的非线性集值泛函微分方程。通过引入集值函数的Hukuhara偏导数的概念，利用比较原理和拟线性化方法，得到了近似解的单调迭代序列，该序列一致地、二次地收敛于这类问题的解。

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QUADRATIC APPROXIMATION OF SOLUTIONS FOR SET-VALUED FUNCTIONAL DIFFERENTIAL EQUATIONS

This paper investigates nonlinear set-valued functional differential equations with initial value conditions. By introducing the notion of Hukuhara partial derivative of set-valued function, using the comparison principle and the method of quasilinearization, we obtain monotone iterative sequences of approximate solutions which converge uniformly and quadratically to the solutions of such problems.

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来源期刊

Journal of Applied Analysis and Computation MATHEMATICS, APPLIED-

CiteScore

2.30

自引率

9.10%

发文量

期刊介绍： The Journal of Applied Analysis and Computation (JAAC) is aimed to publish original research papers and survey articles on the theory, scientific computation and application of nonlinear analysis, differential equations and dynamical systems including interdisciplinary research topics on dynamics of mathematical models arising from major areas of science and engineering. The journal is published quarterly in February, April, June, August, October and December by Shanghai Normal University and Wilmington Scientific Publisher, and issued by Shanghai Normal University.