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| NMAC08 | Ordinary Differential Equations, 5 p (sw) /ORDINÄRA DIFFERENTIALEKVATIONER/ Advancement level: C | |
| Aim: To teach students the more advanced theory of ordinary differential equations.Prerequisites: NMAA12 Linear Algebra, NMAA13 Mathematical analysis I and NMAB13 Mathematical analysis II (or their equivalent). Course organization: Lectures and problem classes.Course content: Picards existence theorem. Second-order linjear differential equations with variable coefficients (Boundary-value problems with the help of Green's functions). Power-series solutions. Sturm's comparison theorems. Systems of linjear differential equations, fundamental systems of solutions. Stability theory for planar autonomous systems. Liapunov's theorem. | ||
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