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ode_system [2013/09/17 09:33] nikolaj |
ode_system [2014/03/21 11:11] 127.0.0.1 external edit |
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| ===== ODE system ===== | ===== ODE system ===== | ||
| - | ==== Definition ==== | + | ==== Set ==== |
| - | | @#88DDEE: $ d,n,m,k\in\mathbb N $ | | + | | @#55CCEE: context | @#55CCEE: $ d,n,m,k\in\mathbb N $ | |
| - | | @#88DDEE: $ F:\mathbb R\times\mathbb R^{d\ \cdot\ (1+n)}\to \mathbb R^m $ | | + | | @#55CCEE: context | @#55CCEE: $ F:\mathbb R\times\mathbb R^{d\ \cdot\ (1+n)}\to \mathbb R^m $ | |
| - | | @#FFBB00: $ y \in \mathrm{it} $ | | + | | @#FFBB00: definiendum | @#FFBB00: $ y \in \mathrm{it} $ | |
| - | | @#55EE55: $ y:C^k(\mathbb R,\mathbb R^d) $ | | + | | @#55EE55: postulate | @#55EE55: $ y:C^k(\mathbb R,\mathbb R^d) $ | |
| - | | @#55EE55: $ F(t,y(t),y'(t),y''(t),\dots,y^{(n)}(t))=0 $ | | + | | @#55EE55: postulate | @#55EE55: $ F(t,y(t),y'(t),y''(t),\dots,y^{(n)}(t))=0 $ | |
| ==== Discussion ==== | ==== Discussion ==== | ||
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| === Reference === | === Reference === | ||
| Wikipedia: [[https://en.wikipedia.org/wiki/Ordinary_differential_equation|Ordinary differential equation]] | Wikipedia: [[https://en.wikipedia.org/wiki/Ordinary_differential_equation|Ordinary differential equation]] | ||
| - | === Suset of === | + | === Subset of === |
| [[PDE system]] | [[PDE system]] | ||
