Abstract
We prove the reduction theorem for linear differential equations in a Banach space in the case where the convergence is strong. This result is used to obtain the necessary and sufficient conditions for continuous dependence of solutions on a parameter.
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 51, No. 2, pp. 275–280, February, 1999.
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Boi, F.N., Hoan, N.T. On continuous dependence of solutions of linear differential equations on a parameter in a Banach space. Ukr Math J 51, 311–318 (1999). https://doi.org/10.1007/BF02513486
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DOI: https://doi.org/10.1007/BF02513486