On rectangular systems of differential equations and their application to circuit theory |
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Authors: | Victor Lovass-Nagy David L Powers |
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Institution: | Department of Mathematics Clarkson College of Technology, Postdam, New York, USA |
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Abstract: | A system of differential equations A(d/dt) x = Bx+f, along with the initial condition x(0) = k, is considered where A and B are m x n matrices. Generalized inverses of the matrix A are used to derive algebraic conditions for the existence and uniqueness of a solution. An example is presented to illustrate application of the results to circuit theory. |
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