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Book Generalized functions in mechanical models: Differential and fractional differential equations

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Generalized functions in mechanical models: Differential and fractional differential equations

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    Available in PDF - DJVU Format | Generalized functions in mechanical models: Differential and fractional differential equations.pdf | Language: ENGLISH
    Ljubica Oparnica (Author)

    Book details


Problems that are considered in this book model various mechanical phenomena, especially from rod theory and viscoelasticity. Differential equations that arise have coefficients which are not smooth, can be even distributions (Dirac delta and Heaviside functions), and some equations are coupled with fractional differential equations. This is why one has to go beyond classical spaces and look for solutions within generalized function spaces such as spaces of distributions, Sobolev spaces and Colombeau's generalized functions. Different kinds of techniques are presented and afterwards are employed to show existence and uniqueness of solutions.
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Book details

  • PDF | 144 pages
  • Ljubica Oparnica (Author)
  • VDM Verlag (26 Oct. 2009)
  • English
  • 7
  • Science Nature

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