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Generalized functions in mechanical models

by Ljubica Oparnica
Save 12% Save 12%
Current price ₹5,442.00
Original price ₹6,195.00
Original price ₹6,195.00
Original price ₹6,195.00
(-12%)
₹5,442.00
Current price ₹5,442.00

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Book cover type: Paperback
  • ISBN13: 9783639206128
  • Binding: Paperback
  • Subject: N/A
  • Publisher: VDM Verlag
  • Publisher Imprint: VDM Verlag
  • Publication Date:
  • Pages: 144
  • Original Price: GBP 48.97
  • Language: English
  • Edition: N/A
  • Item Weight: 223 grams
  • BISAC Subject(s): Functional Analysis

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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