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  • Research Article
  • Open Access

Basic properties of Sobolev's spaces on time scales

  • 1Email author,
  • 2,
  • 1 and
  • 2
Advances in Difference Equations20062006:038121

  • Received: 18 January 2006
  • Accepted: 22 January 2006
  • Published:


We study the theory of Sobolev's spaces of functions defined on a closed subinterval of an arbitrary time scale endowed with the Lebesgue Δ-measure; analogous properties to that valid for Sobolev's spaces of functions defined on an arbitrary open interval of the real numbers are derived.


  • Differential Equation
  • Real Number
  • Partial Differential Equation
  • Ordinary Differential Equation
  • Functional Analysis


Authors’ Affiliations

Department of Mathematical Sciences, Florida Institute of Technology, Melbourne, FL 32901, USA
Departamento de Análise Matemática, Facultade de Matemáticas, Universidade de Santiago de Compostela, Santiago de Compostela, Galicia, 15782, Spain


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© Ravi P. Agarwal et al. 2006

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