{"title":"Optimal design problems for a dynamic viscoelastic plate. I. Short memory material","authors":"I. Bock","doi":"10.21136/am.1995.134295","DOIUrl":null,"url":null,"abstract":"Summary. We deal with an optimal control prob l em with respect to a variable thickness for a dynamic viscoelastic plate with velocity constraints. The state problem has the form of a pseudohyperbolic variational inequa l ity. The existence and uniqueness theorem for the state prob l em and the existence of an optima l thickness function are proved.","PeriodicalId":55505,"journal":{"name":"Applications of Mathematics","volume":"23 1","pages":"285-304"},"PeriodicalIF":0.6000,"publicationDate":"1995-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Applications of Mathematics","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.21136/am.1995.134295","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
引用次数: 0
Abstract
Summary. We deal with an optimal control prob l em with respect to a variable thickness for a dynamic viscoelastic plate with velocity constraints. The state problem has the form of a pseudohyperbolic variational inequa l ity. The existence and uniqueness theorem for the state prob l em and the existence of an optima l thickness function are proved.
期刊介绍：
Applications of Mathematics publishes original high quality research papers that are directed towards applications of mathematical methods in various branches of science and engineering.
The main topics covered include:
- Mechanics of Solids;
- Fluid Mechanics;
- Electrical Engineering;
- Solutions of Differential and Integral Equations;
- Mathematical Physics;
- Optimization;
- Probability
Mathematical Statistics.
The journal is of interest to a wide audience of mathematicians, scientists and engineers concerned with the development of scientific computing, mathematical statistics and applicable mathematics in general.
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