Discontinuous dynamic equations on time scales

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• 作者：Iguer Luis Domini dos Santos
• 关键词：Generalized solutions ; Initial value problems ; Dynamic equations ; Time scales ; 34A12 ; 34A36 ; 34N05
• 刊名：Rendiconti del Circolo Matematico di Palermo
• 出版年：2015
• 出版时间：December 2015
• 年：2015
• 卷：64
• 期：3
• 页码：383-402
• 全文大小：502 KB
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• 作者单位：Iguer Luis Domini dos Santos (1)
  
  1. Departamento de Matemática, Faculdade de Engenharia de Ilha Solteira, UNESP, Univ Estadual Paulista, Rua Rio de Janeiro, 266, Ilha Solteira, S?o Paulo, CEP 15385-000, Brazil
  
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Mathematics
  Algebra
  Geometry
  Analysis
  Applications of Mathematics
  
• 出版者：Springer Milan
• ISSN：1973-4409

文摘

We introduce and prove the existence of Hermes, Filippov, and Krasovskii generalized solutions to discontinuous dynamic equations on time scales. We also consider comparisons between the Carathéodory, Euler, Filippov, Hermes, and Krasovskii generalized solutions to discontinuous dynamic equations on time scales. Keywords Generalized solutions Initial value problems Dynamic equations Time scales