Approximate solution of an inhomogeneous abstract differential equation |
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| Authors: | Emil Vitásek |
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| Institution: | 1. Institute of Mathematics of the Academy of Sciences of the Czech Republic, ?itn?? 25, CZ-115 67, Prague 1, Czech Republic
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| Abstract: | 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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