关于具有非瞬时脉冲、延迟和非局部条件的非自治半线性系统解的存在唯一性

IF 0.9 4区数学 Q1 Mathematics

Miskolc Mathematical Notes Pub Date : 2022-03-11 DOI:10.18514/mmn.2022.3785

Sebastián Lalvay, Adrian Padilla-segarra, W. Zouhair

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引用次数: 5

摘要

研究了一类具有非瞬时脉冲、时滞和非局部条件摄动的非自治演化半线性微分系统。它的分段连续解属于有限维巴拿赫空间。应用Karakostas不动点定理，得到了区间[−r，τ]上解的存在唯一性。进一步研究了有关溶液延长的结果。给出了一个例子，并对无限维情况作了一些说明。2010数学学科分类:93C10;93年c23

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On the existence and uniqueness of solutions for non-autonomous semi-linear systems with non-instantaneous impulses, delay, and non-local conditions

A non-autonomous evolution semi-linear differential system under non-instantaneous impulses, delays, and perturbed by non-local conditions is studied. Its piece-wise continuous solutions belong to a finite dimensional Banach space. The existence and uniqueness of solutions on the interval [−r,τ] are obtained by applying Karakostas’ fixed-point theorem. Further results concerning solution prolongation are developed. An example is presented, and several remarks on the infinite-dimensional case are included. 2010 Mathematics Subject Classification: 93C10; 93C23

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来源期刊

Miskolc Mathematical Notes Mathematics-Algebra and Number Theory

CiteScore

2.00

自引率

0.00%

发文量

期刊介绍： Miskolc Mathematical Notes, HU ISSN 1787-2405 (printed version), HU ISSN 1787-2413 (electronic version), is a peer-reviewed international mathematical journal aiming at the dissemination of results in many fields of pure and applied mathematics.