Differences

This shows you the differences between two versions of the page.

Link to this comparison view

Both sides previous revision Previous revision
Next revision
Previous revision
linear_first-order_ode_system [2014/03/07 00:20]
nikolaj
linear_first-order_ode_system [2017/01/17 01:06] (current)
nikolaj
Line 1: Line 1:
 ===== 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: definiendum | @#FFBB00: $ y \in \mathrm{it} $ | 
 +| @#55EE55: postulate ​  | @#55EE55: $ y:​C^k(\mathbb R,\mathbb R^n) $  | 
 +| @#55EE55: postulate ​  | @#55EE55: $ y'​(t)=A(t)\ y(t)+b(t) ​$ |
  
-| @#FFBB00: $ y \in \mathrm{it} $ | +-----
- +
-| @#55EE55: $ y:​C^k(\mathbb R,\mathbb R^n) $  | +
- +
-| @#55EE55: $ y'​(t)=A(t)\ y(t)+b(t) $ | +
- +
-==== Discussion ====+
 === Theorems === === Theorems ===
 There exists a matrix $S(t,s)$ such that the solution of the equation above is of the form  There exists a matrix $S(t,s)$ such that the solution of the equation above is of the form 
Line 40: Line 37:
 === Reference === === Reference ===
 Wikipedia: [[http://​en.wikipedia.org/​wiki/​Dyson_series|Dyson series]] Wikipedia: [[http://​en.wikipedia.org/​wiki/​Dyson_series|Dyson series]]
-==== Parents ====+ 
 +-----
 === Context === === Context ===
 [[Square matrix]] [[Square matrix]]
 === Subset of === === Subset of ===
 [[ODE system]] [[ODE system]]
Link to graph
Log In
Improvements of the human condition