Existence of the solutions to convolution equations with distributional kernels

 
 
 
  • Abstract
  • Keywords
  • References
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  • Abstract


    It is proved that a class of convolution integral equations of the Volterra type has a globalsolution, that is, solutions defined for all \(t\ge 0\). Smoothness of the solution is studied.

  • Keywords


    Volterra equations; distributional kernels

  • References


      [1] I.Gelfand, G. Shilov, Generalized functions, Vol.1, AMS Chelsea Publ., 1964.
      [2] P. Zabreiko, A.Koshelev, M. Krasnoselskii, S.Mikhlin, L. Rakovshchik, V Stecenko,
      Integral equations: a reference text, Leyden, Noordhoff International Publ., 1975.

 

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Article ID: 8632
 
DOI: 10.14419/gjma.v6i1.8632




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