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The Classification of the First Order Ordinary Differential Equations with the Painlev´e Property

Muntingh, G. (2006) The Classification of the First Order Ordinary Differential Equations with the Painlev´e Property. Master's Thesis / Essay, Mathematics.

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Abstract

The class of all differential equations is enormous and very complicated to study in general. The best one can do is to restrict our research to a class of differential equations that is easy enough to say sensible things about and wide enough to describe a wide spectrum of phenomena. This thesis is about such a class, namely the class of first order ordinary differential equations with the Painlev´e Property. Before we define the Painlev´e Property, we give in Section 1.1 some conceptual definitions of the problematic points of a differential equation. Armed with these notions, we give a conceptual definition of the Painlev´e Property in Section 1.2 and motivate why we should study equations with this property. Finally, in Section 1.3, we shall restrict ourselves to the case of first order ordinary differential equations and discuss what kind of questions we can ask ourselves. The remainder of the thesis will then be concerned with the answers to these questions.

Item Type: Thesis (Master's Thesis / Essay)
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Top, J.UNSPECIFIED
Degree programme: Mathematics
Thesis type: Master's Thesis / Essay
Language: English
Date Deposited: 15 Feb 2018 07:28
Last Modified: 17 Apr 2019 09:47
URI: http://fse.studenttheses.ub.rug.nl/id/eprint/8396

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