Conference Portal, 2018 International Conference on Pure and Applied Science

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Existence and Uniqueness Theorems in an Infinitesimal Micromonad of an Initial Standard Point and Legendre Equation
Ibrahim O. Hamad, Mardan A. Pirdawood

##manager.scheduler.building##: Presidency Building
##manager.scheduler.room##: Conference Auditorium
Date: 2018-04-24 02:50 PM – 03:10 PM
Last modified: 2018-08-16

Abstract


In this paper, we use some nonstandard concepts to study the analyticity near the singularity. We analyzed and proved the existence and uniqueness theorems for first order ordinary differential equations in subset of the monad of the initial standard point. Then the solutions of the second order ordinary differential equation (Legendre Equation) are introduced around the singularity in the monad of zero by using power series method with suitable transformations for singular points.

 

Published 01 August 2018

DOI: 10.14500/icpas2018.pma66

http://dx.doi.org/10.14500/icpas2018.pma66


Keywords


Existence; Legendre equation; Non-standard analysis; S-continuity; Singularity; Uniqueness theorems

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