状态相关泛函微分方程上的映射型Gronwall不等式

IF 1.1 3区数学 Q1 MATHEMATICS Journal of Mathematical Inequalities Pub Date : 2023-01-01 DOI:10.7153/jmi-2023-17-08

Jun Zhou

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引用次数: 0

摘要

。为了研究一类具有状态依赖性的Gronwall不等式，通过将函数上的顺序单调化技术转化为映射上的顺序单调化技术，讨论了另一类辅助映射型Gronwall不等式。然后利用状态相关的Gronwall不等式给出了一类状态相关泛函微分方程解的估计和有界性。最后，给出了一个有界解的具体应用实例。

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A map-type Gronwall inequality on functional differential equations with state-dependence

. In this paper, in order to investigate a Gronwall inequality with state-dependence, another auxiliary map-type Gronwall inequality is discussed by modifying the technique of sequential monotonization on functions into the one on maps. Then we employ the state-dependent Gronwall inequality to give the estimate and boundedness of solutions for a functional differential equation with state-dependence. Finally, we exhibit a concrete example of bounded solutions as application.

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来源期刊

Journal of Mathematical Inequalities MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.90

自引率

3.40%

发文量

审稿时长

6-12 weeks

期刊介绍： The ''Journal of Mathematical Inequalities'' (''JMI'') presents carefully selected original research articles from all areas of pure and applied mathematics, provided they are concerned with mathematical inequalities and their numerous applications. ''JMI'' will also periodically publish invited survey articles and short notes with interesting results treating the theory of inequalities, as well as relevant book reviews. Only articles written in the English language and in a lucid, expository style will be considered for publication. ''JMI'' primary audience are pure mathematicians, applied mathemathicians and numerical analysts. ''JMI'' is published quarterly; in March, June, September, and December.