{"title":"动力学建模问题与力学和应用数学科学领域的发展","authors":"","doi":"10.1134/s1063454123040167","DOIUrl":null,"url":null,"abstract":"<span> <h3>Abstract</h3> <p>The paper discusses the development of scientific areas of mechanics in the research by the honorary professor of St. Petersburg State University, Honored Worker of Science and Technology of the Russian Federation, and Doctor of Physical and Mathematical Sciences Viktor Sergeevich Novoselov, founder of the scientific school of analytical mechanics, space dynamics, biomechanics, and applied mathematics. He extended the basic theorems of analytical dynamics to mechanical systems of variable composition. Using variational methods, he obtained a number of remarkable results on the dynamics of controllable systems. In particular, he proposed a general scheme for constructing analytical approximations, which has been used to solve a variety of equations.</p> </span>","PeriodicalId":43418,"journal":{"name":"Vestnik St Petersburg University-Mathematics","volume":"5 1","pages":""},"PeriodicalIF":0.4000,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Modeling Problems of Dynamics and Development of Scientific Areas of Mechanics and Applied Mathematics\",\"authors\":\"\",\"doi\":\"10.1134/s1063454123040167\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<span> <h3>Abstract</h3> <p>The paper discusses the development of scientific areas of mechanics in the research by the honorary professor of St. Petersburg State University, Honored Worker of Science and Technology of the Russian Federation, and Doctor of Physical and Mathematical Sciences Viktor Sergeevich Novoselov, founder of the scientific school of analytical mechanics, space dynamics, biomechanics, and applied mathematics. He extended the basic theorems of analytical dynamics to mechanical systems of variable composition. Using variational methods, he obtained a number of remarkable results on the dynamics of controllable systems. In particular, he proposed a general scheme for constructing analytical approximations, which has been used to solve a variety of equations.</p> </span>\",\"PeriodicalId\":43418,\"journal\":{\"name\":\"Vestnik St Petersburg University-Mathematics\",\"volume\":\"5 1\",\"pages\":\"\"},\"PeriodicalIF\":0.4000,\"publicationDate\":\"2023-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Vestnik St Petersburg University-Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1134/s1063454123040167\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Vestnik St Petersburg University-Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1134/s1063454123040167","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
Modeling Problems of Dynamics and Development of Scientific Areas of Mechanics and Applied Mathematics
Abstract
The paper discusses the development of scientific areas of mechanics in the research by the honorary professor of St. Petersburg State University, Honored Worker of Science and Technology of the Russian Federation, and Doctor of Physical and Mathematical Sciences Viktor Sergeevich Novoselov, founder of the scientific school of analytical mechanics, space dynamics, biomechanics, and applied mathematics. He extended the basic theorems of analytical dynamics to mechanical systems of variable composition. Using variational methods, he obtained a number of remarkable results on the dynamics of controllable systems. In particular, he proposed a general scheme for constructing analytical approximations, which has been used to solve a variety of equations.
期刊介绍：
Vestnik St. Petersburg University, Mathematics is a journal that publishes original contributions in all areas of fundamental and applied mathematics. It is the prime outlet for the findings of scientists from the Faculty of Mathematics and Mechanics of St. Petersburg State University. Articles of the journal cover the major areas of fundamental and applied mathematics. The following are the main subject headings: Mathematical Analysis; Higher Algebra and Numbers Theory; Higher Geometry; Differential Equations; Mathematical Physics; Computational Mathematics and Numerical Analysis; Statistical Simulation; Theoretical Cybernetics; Game Theory; Operations Research; Theory of Probability and Mathematical Statistics, and Mathematical Problems of Mechanics and Astronomy.
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