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linear_first-order_ode_system [2014/03/07 00:20] nikolaj |
linear_first-order_ode_system [2014/03/21 11:11] 127.0.0.1 external edit |
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| ===== Linear first-order ODE system ===== | ===== Linear first-order ODE system ===== | ||
| ==== Set ==== | ==== Set ==== | ||
| - | | @#88DDEE: $ A:\mathbb R\to\mathrm{Matrix}(n,\mathbb R) $ | | + | | @#55CCEE: context | @#55CCEE: $ A:\mathbb R\to\mathrm{Matrix}(n,\mathbb R) $ | |
| - | | @#88DDEE: $ b:\mathbb R\to\mathbb R^n $ | | + | | @#55CCEE: context | @#55CCEE: $ b:\mathbb R\to\mathbb R^n $ | |
| - | | @#FFBB00: $ y \in \mathrm{it} $ | | + | | @#FFBB00: definiendum | @#FFBB00: $ y \in \mathrm{it} $ | |
| - | | @#55EE55: $ y:C^k(\mathbb R,\mathbb R^n) $ | | + | | @#55EE55: postulate | @#55EE55: $ y:C^k(\mathbb R,\mathbb R^n) $ | |
| - | | @#55EE55: $ y'(t)=A(t)\ y(t)+b(t) $ | | + | | @#55EE55: postulate | @#55EE55: $ y'(t)=A(t)\ y(t)+b(t) $ | |
| ==== Discussion ==== | ==== Discussion ==== | ||
