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Note on the Peano-Baker Method of solving Linear Differential Equations
Published online by Cambridge University Press: 20 January 2009
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In Mathematische Annalen, Vol. 32 (1888) Peano discusses the solution of a system of homogeneous linear differential equations
where rij denotes a real function of the variable t, and shows how, by a series of repeated substitutions, this system of equations may be replaced by the equivalent equation
where X denotes the complex [x1, x2, … xn] and R the matrix
of which equation the solution X can be represented as a sum of integrals.
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- Research Article
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- Copyright © Edinburgh Mathematical Society 1916
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