Results on Compositions Involving Dirac-delta Function

Ozcag E.

9th International Conference on Promoting the Application of Mathematics in Technical and Natural Sciences (AMiTaNS), Albena, Bulgaristan, 21 - 26 Haziran 2017, cilt.1895 identifier identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 1895
  • Doi Numarası: 10.1063/1.5007379
  • Basıldığı Şehir: Albena
  • Basıldığı Ülke: Bulgaristan
  • Hacettepe Üniversitesi Adresli: Evet

Özet

The distributional composition delta((r))(x(+)(lambda)) for lambda = 0, in other words, the composition delta((r))(H(X)) is defined as the neutrix limit of the regular sequence {delta((r))(n)(x(+)(lambda))} and the expressions [(delta((r))(x)](-k) and [delta((r))(+)(x)](-k) are defined as a double neutrix limit of the regular sequences [delta((r))(m)(x)](n)(-k) and [(delta((r))(m)(x))(+)](n)(-k) respectively. Further compositions such as H-(r)(delta((s))(x)) and H-lambda(x) are also defined in the neutrix setting.