An asymptotic solution of a nonhomogeneous linear system of differential equations

Hallam, Thomas G.

doi:10.1090/S0002-9939-1971-0277828-6

An asymptotic solution of a nonhomogeneous linear system of differential equations
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by Thomas G. Hallam PDF

Proc. Amer. Math. Soc. 29 (1971), 529-534 Request permission

Abstract:

A complete asymptotic series expansion is found for the solutions of a nonhomogeneous linear system of differential equations whose coefficient matrix and forcing term are in ${L^1}[{t_0},\infty )$. Related results, which require that the coefficients satisfy certain conditional integrability conditions, are shown to be reducible by a transformation to the ${L^1}$ case.

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