The character of operational successive approximations |
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| Affiliation: | Department of Mathematics and Informatics, Faculty of Science, University of Novi Sad, Trg Dositeja Obradovića 4,21000 Novi Sad, Serbia and Montenegro |
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| Abstract: | The method of successive approximations in the field of Mikusiński operators is applied for the construction of the approximate solution of a class of nonlinear differential equations. The character of these operational approximations is analyzed, and sufficient conditions for the type I convergence to the exact solution are given. The error of approximation is estimated. |
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