Linear Ordinary Differential Systems

  • R. D. Driver
Part of the Applied Mathematical Sciences book series (AMS, volume 20)


The study of a system of linear differential equations (or a linear differential system) of the form
$${x'_i} = \sum\limits_{j = 1}^n {{a_{ij}}\left( t \right){x_j} + {h_i}\left( t \right)\quad \left( {i = 1, \ldots ,n} \right)} $$
is generally simplified with the aid of matrix theory. Moreover, matrix methods can often give useful information about differential systems which are not quite linear.


General Solution Transition Matrix Constant Coefficient Successive Approximation Homogeneous System 
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Copyright information

© Springer-Verlag New York Inc. 1977

Authors and Affiliations

  • R. D. Driver
    • 1
  1. 1.Department of MathematicsUniversity of Rhode IslandKingstonUSA

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