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Existence and Uniqueness Theorems in an Infinitesimal Micromonad of an Initial Standard Point and Legendre Equation

2018 International Conference on Pure and Applied Science

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Title Existence and Uniqueness Theorems in an Infinitesimal Micromonad of an Initial Standard Point and Legendre Equation
 
Creator Ibrahim O. Hamad; Department of Mathematics, College of Science, Salahaddin University, Kurdistan Region
Mardan A. Pirdawood; Department of Mathematics, College of Science and Health, Koya University, Kurdistan Region
 
Subject Pure Mathematics; Applied Mathematics
Existence; Legendre equation; Non-standard analysis; S-continuity; Singularity; Uniqueness theorems
 
Description 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 2018DOI: 10.14500/icpas2018.pma66http://dx.doi.org/10.14500/icpas2018.pma66
 
Publisher Pure and Applied Science
 
Contributor Koya University
 
Date 2018-03-24 08:55:24
 
Type Peer-reviewed Paper
 
Format application/pdf
 
Identifier http://conferences.koyauniversity.org/index.php/pas/2018/paper/view/66
 
Source Pure and Applied Science; 2018 International Conference on Pure and Applied Science
 
Language en
 
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