 Aims
This course aims to introduce boundary value problems for ODE and the related analysis method.
Content and teaching methods
The Cauchy problem : Existence, uniqueness, continuous dependance
Boundary value problems :
- Phase plane analysis.
- Contraction method (Banach Theorem).
- Compactness method (Schauder Theorem).
- Monotony method (positive operator, lower and upper solutions).
Other information (prerequisite, evaluation (assessment methods), course materials recommended readings, ...)
Prerequisite
The course INMA 2315 "Compléments d'Analyse" is a prerequisite. It is advisable to work this material together with MATH 2111.
Other credits in programs
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MAP21
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Première année du programme conduisant au grade d'ingénieur civil en mathématiques appliquées
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(4 credits)
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Mandatory
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MAP22
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Deuxième année du programme conduisant au grade d'ingénieur civil en mathématiques appliquées
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(4 credits)
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MATH21/E
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Première licence en sciences mathématiques (Economie mathématique)
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(4.5 credits)
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Mandatory
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MATH21/G
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Première licence en sciences mathématiques (Général)
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(4.5 credits)
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Mandatory
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