混合型泛函微分方程半全局解和全局解的上下估计

IF 4.3 3区材料科学 Q1 ENGINEERING, ELECTRICAL & ELECTRONIC

ACS Applied Electronic Materials Pub Date : 2022-01-01 DOI:10.1515/anona-2021-0218

J. Diblík, G. Vážanová

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引用次数: 2

摘要

摘要本文分析了一类非线性混合型泛函微分方程系统，证明了半全局解和全局解的存在性。在证明中，使用单调迭代技术和Schauder-Tychonov不动点定理。除了证明全局解的存在性外，还推导了它们的坐标估计。考虑了结果的线性变化，并通过选定的例子说明了结果。

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Lower and upper estimates of semi-global and global solutions to mixed-type functional differential equations

Abstract In the paper, nonlinear systems of mixed-type functional differential equations are analyzed and the existence of semi-global and global solutions is proved. In proofs, the monotone iterative technique and Schauder-Tychonov fixed-point theorem are used. In addition to proving the existence of global solutions, estimates of their co-ordinates are derived as well. Linear variants of results are considered and the results are illustrated by selected examples.

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来源期刊

ACS Applied Electronic Materials Multiple-

CiteScore

7.20

自引率

4.30%

发文量

567