# Article

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Keywords:
abstract differential equations; semigroups of operators; rational approximations; A-stability
Summary:
Recently, we have developed the necessary and sufficient conditions under which a rational function \$F(hA)\$ approximates the semigroup of operators \$\exp (tA)\$ generated by an infinitesimal operator \$A\$. The present paper extends these results to an inhomogeneous equation \$u'(t)=Au(t)+f(t)\$.
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