2016-Sustainable Industrial Processing Summit
SIPS 2016 Volume 4: Santilli Intl. Symp. / Mathematics Applications

Editors:Kongoli F, Gaines G, Georgiev S, Bhalekar A
Publisher:Flogen Star OUTREACH
Publication Year:2016
Pages:320 pages
ISBN:978-1-987820-42-3
ISSN:2291-1227 (Metals and Materials Processing in a Clean Environment Series)
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    Introduction to Partial Iso-Differential Equations

    Svetlin Georgiev1;
    1SORBONNE UNIVERSITY, Paris, France;
    Type of Paper: Plenary
    Id Paper: 446
    Topic: 38

    Abstract:

    This talk presents an introduction to the theory of partial iso-differential equations.
    They are considered as the classification of the first order partial iso-differential equations, solvability of quasilinear first order partial iso-differential equations, the Cauchy problem for quasilinear first order partial iso-differential equations,the iso-Pfaffian equation, and some special systems.
    They are investigated even and odd dimensional iso-wave equations, method of separation of variables, energy method. It is introduced the iso-Riemann functions.
    They are considered the weak and strong maximum principles
    They are given the basic properties of iso-elliptic problems, the fundamental solutions, integral representation of iso-harmonic functions.

    Keywords:

    Santilli iso- geno- hyper- and isodual-numbers;

    Cite this article as:

    Georgiev S. Introduction to Partial Iso-Differential Equations. In: Kongoli F, Gaines G, Georgiev S, Bhalekar A, editors. Sustainable Industrial Processing Summit SIPS 2016 Volume 4: Santilli Intl. Symp. / Mathematics Applications. Volume 4. Montreal(Canada): FLOGEN Star Outreach. 2016. p. 69-70.