Linear differential partial equations of second order in the Aleph derivative with variable coefficients
by
Sergio Falcon
Professor of University of Las Palmas de G.C.

From the generalized increment of a function, we find the Aleph derivative of the same as a generalization of the classic derivative. By the use of this generalized derivative we obtain and solve any differential equations in a similar way to the classic differential equations. If we transform these equations in the Aleph derivative in equations in the classic derivative, they are an expression very much complex than the corresponding classic equations. In the same way, we can find the Aleph partial derivatives of a function of several variables and so reaching to the Aleph partial differential equations. Between these APDEs we study in this paper the Linear differential partial equations of second order in the Aleph derivative with variable coefficients and giving its solution in those cases in wichs it is possible.

Date received: February 22, 2000

Copyright © 2000 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cadz-09.