时间尺度上的量子脉冲动力学方程

IF 3.6 1区数学 Q1 MATHEMATICS, APPLIED Mathematical Models & Methods in Applied Sciences Pub Date : 2023-01-01 DOI:10.12988/ams.2023.917476

Latifat Adebisi Abimbola, Afolabi O Adedamola

{"title":"时间尺度上的量子脉冲动力学方程","authors":"Latifat Adebisi Abimbola, Afolabi O Adedamola","doi":"10.12988/ams.2023.917476","DOIUrl":null,"url":null,"abstract":"We generalize First order Impulsive Dynamic equation on time scale to quantum stochastic calculus of Hudson and Parthasathy formulation of quantum stochastic calculus on a certain locally convex space. We establish existence result for the quantum impulsive dynamic equation on time scale considering impulse at fixed moment, we apply the non-commutative analogue of Leray-Schauder and Arzela Ascoli fixed point theorems in establishing the existence of solution.","PeriodicalId":49860,"journal":{"name":"Mathematical Models & Methods in Applied Sciences","volume":"118 1","pages":""},"PeriodicalIF":3.6000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Quantum impulsive dynamic equations on time scales\",\"authors\":\"Latifat Adebisi Abimbola, Afolabi O Adedamola\",\"doi\":\"10.12988/ams.2023.917476\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We generalize First order Impulsive Dynamic equation on time scale to quantum stochastic calculus of Hudson and Parthasathy formulation of quantum stochastic calculus on a certain locally convex space. We establish existence result for the quantum impulsive dynamic equation on time scale considering impulse at fixed moment, we apply the non-commutative analogue of Leray-Schauder and Arzela Ascoli fixed point theorems in establishing the existence of solution.\",\"PeriodicalId\":49860,\"journal\":{\"name\":\"Mathematical Models & Methods in Applied Sciences\",\"volume\":\"118 1\",\"pages\":\"\"},\"PeriodicalIF\":3.6000,\"publicationDate\":\"2023-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mathematical Models & Methods in Applied Sciences\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.12988/ams.2023.917476\",\"RegionNum\":1,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematical Models & Methods in Applied Sciences","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.12988/ams.2023.917476","RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}

引用次数: 0

摘要

将时间尺度上的一阶脉冲动力方程推广到Hudson的量子随机微积分和局部凸空间上量子随机微积分的Parthasathy公式。建立了考虑固定时刻脉冲的时间尺度量子脉冲动力学方程的存在性结果，应用了Leray-Schauder不动点定理和Arzela Ascoli不动点定理的非交换类比来建立解的存在性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文

微信好友朋友圈 QQ好友复制链接

本刊更多论文

Quantum impulsive dynamic equations on time scales

We generalize First order Impulsive Dynamic equation on time scale to quantum stochastic calculus of Hudson and Parthasathy formulation of quantum stochastic calculus on a certain locally convex space. We establish existence result for the quantum impulsive dynamic equation on time scale considering impulse at fixed moment, we apply the non-commutative analogue of Leray-Schauder and Arzela Ascoli fixed point theorems in establishing the existence of solution.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Mathematical Models & Methods in Applied Sciences 数学-应用数学

CiteScore

6.30

自引率

17.10%

发文量

审稿时长

1 months

期刊介绍： The purpose of this journal is to provide a medium of exchange for scientists engaged in applied sciences (physics, mathematical physics, natural, and technological sciences) where there exists a non-trivial interplay between mathematics, mathematical modelling of real systems and mathematical and computer methods oriented towards the qualitative and quantitative analysis of real physical systems. The principal areas of interest of this journal are the following: 1.Mathematical modelling of systems in applied sciences; 2.Mathematical methods for the qualitative and quantitative analysis of models of mathematical physics and technological sciences; 3.Numerical and computer treatment of mathematical models or real systems. Special attention will be paid to the analysis of nonlinearities and stochastic aspects. Within the above limitation, scientists in all fields which employ mathematics are encouraged to submit research and review papers to the journal. Both theoretical and applied papers will be considered for publication. High quality, novelty of the content and potential for the applications to modern problems in applied sciences and technology will be the guidelines for the selection of papers to be published in the journal. This journal publishes only articles with original and innovative contents. Book reviews, announcements and tutorial articles will be featured occasionally.