Current Journal of Applied Science and Technology

Analysis in the Generalized Function Spaces Lα (S αα (R))

Ramadan Sabra *

Department of Mathematics, Faculty of Science, Jazan University, P.O.Box 2097, Jazan, KSA

*Author to whom correspondence should be addressed.

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Abstract

In this paper we shall define generalized complex numbers in the space of new generalized functions  , which allows us to define and study   ordinary differential equations (ODE) and partial differential equations (PDE) in the space  . We shall also define generalized linear and bilinear operations in the space .

Keywords: New generalized function, generalized functions

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