{"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":3,"journal":{"name":"ACS Applied Electronic Materials","volume":null,"pages":null},"PeriodicalIF":4.3000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"ACS Applied Electronic Materials","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.12988/ams.2023.917476","RegionNum":3,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"ENGINEERING, ELECTRICAL & ELECTRONIC","Score":null,"Total":0}
引用次数: 0
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.