. A new mathematical model describing the dynamics of sales of goods on the market has been proposed. This model takes into account the following characteristics: the average welfare of buyers, the maximum welfare of buyers, the number of buyers who know about the incoming product and the level of market saturation with this product. Examples demonstrating the features of the constructed model are given.
{"title":"Study of the Dynamics of Product Sales Process with the Help of Zolotas Model","authors":"V. Belozyorov, Svetlana A. Volkova","doi":"10.15421/142402","DOIUrl":"https://doi.org/10.15421/142402","url":null,"abstract":". A new mathematical model describing the dynamics of sales of goods on the market has been proposed. This model takes into account the following characteristics: the average welfare of buyers, the maximum welfare of buyers, the number of buyers who know about the incoming product and the level of market saturation with this product. Examples demonstrating the features of the constructed model are given.","PeriodicalId":36259,"journal":{"name":"Journal of Optimization, Differential Equations and their Applications","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141025915","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Qualitative Analysis of an Optimal Sparse Control Problem for Quasi-Linear Parabolic Equation with Variable Order of Nonlinearity","authors":"C. D'apice, Peter Kogut, R. Manzo","doi":"10.15421/142314","DOIUrl":"https://doi.org/10.15421/142314","url":null,"abstract":"","PeriodicalId":36259,"journal":{"name":"Journal of Optimization, Differential Equations and their Applications","volume":"548 ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139176758","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Homogeneous Approximation of One- Dimensional Series of Iterated Integrals and Time Optimality","authors":"D. M. Andreieva, S. Ignatovich","doi":"10.15421/142308","DOIUrl":"https://doi.org/10.15421/142308","url":null,"abstract":"","PeriodicalId":36259,"journal":{"name":"Journal of Optimization, Differential Equations and their Applications","volume":"66 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-11-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139281013","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Systems of Singular Differential Equations as the Basis for Neural Network Modeling of Chaotic Processes","authors":"V. Belozyorov, Oleksandr A. Inkin","doi":"10.15421/142309","DOIUrl":"https://doi.org/10.15421/142309","url":null,"abstract":"","PeriodicalId":36259,"journal":{"name":"Journal of Optimization, Differential Equations and their Applications","volume":"10 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139335538","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"How Can We Manage Repairing a Broken Finite Vibrating String? Formulations of the Problem","authors":"V. Borsch, Peter I. Kogut","doi":"10.15421/142312","DOIUrl":"https://doi.org/10.15421/142312","url":null,"abstract":"","PeriodicalId":36259,"journal":{"name":"Journal of Optimization, Differential Equations and their Applications","volume":"3 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-09-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139341609","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Univariate Time Series Analysis with Hyper Neural ODE","authors":"YevhenV. Koshel, V. Belozyorov","doi":"10.15421/142310","DOIUrl":"https://doi.org/10.15421/142310","url":null,"abstract":"","PeriodicalId":36259,"journal":{"name":"Journal of Optimization, Differential Equations and their Applications","volume":"198 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-08-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139348185","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"The Analytical View of Solution of the First Boundary Value Problem for the Nonlinear Equation of Heat Conduction with Deviation of the Argument","authors":"Yaroslav M. Drin, I. Drin, Svitlana Drin","doi":"10.15421/142313","DOIUrl":"https://doi.org/10.15421/142313","url":null,"abstract":"","PeriodicalId":36259,"journal":{"name":"Journal of Optimization, Differential Equations and their Applications","volume":"55 6 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-08-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139351194","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Nonlinear Parabolic Variational Inequalities with Variable Time-Delay in Time Unbounded Domains","authors":"M. Bokalo, O. Ilnytska, Taras M. Bokalo","doi":"10.15421/142311","DOIUrl":"https://doi.org/10.15421/142311","url":null,"abstract":"","PeriodicalId":36259,"journal":{"name":"Journal of Optimization, Differential Equations and their Applications","volume":"183 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-06-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139370233","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Examples 10.1 to 10.20","authors":"L. Campos","doi":"10.1201/9780429060816-1","DOIUrl":"https://doi.org/10.1201/9780429060816-1","url":null,"abstract":"","PeriodicalId":36259,"journal":{"name":"Journal of Optimization, Differential Equations and their Applications","volume":"96 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-11-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78091728","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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