Author/Authors :
Borisenok, Sergey Istanbul Kultur University - Department of Mathematics and Computer Science, TURKEY , Borisenok, Sergey Government College University - Abdus Salam School of Mathematical Sciences, PAKISTAN , Erkut, M. Hakan Istanbul Kultur University - Department of Physics, TURKEY , Polatoglu, Yasar Istanbul Kultur University - Department of Mathematics and Computer Science, TURKEY , Demirer, Murat Istanbul Kultur University - Department of Mathematics and Computer Science, TURKEY
Abstract :
We present a solution of the Weiss operator family generalized for the case of Rd and formulate a d- dimensional analogue of the Weiss Theorem. Most importantly, the generalization of the Weiss Theorem allows us to find a subset of null class functions for a partial differential equation with the generalized Weiss operators. We illustrate the significance of our approach through several examples of both linear and non-linear partial differential equations.
