Properties of a solution of the mixed problem for an ultraparabolic equation with memory term

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• 作者：Nataliya P. Protsakh (1) protsakh@ukr.net
• 关键词：Ultraparabolic equation – ; exponential decay – ; polynomial decay – ; memory term
• 刊名：Journal of Mathematical Sciences
• 出版年：2012
• 出版时间：June 2012
• 年：2012
• 卷：183
• 期：6
• 页码：823-834
• 全文大小：199.3 KB
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• 作者单位：1. Institute for Applied Problems of Mechanics and Mathematics of the NAS of Ukraine, 3b, Naukova Str., Lviv, 79060 Ukraine
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Mathematics
  Russian Library of Science
  
• 出版者：Springer New York
• ISSN：1573-8795

文摘

The mixed problem for an ultraparabolic equation is considered. The uniqueness and the existence of a solution of the problem are established. Some estimates of the solution that depend on the kernel of an integral operator are found.