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The Euler Method in the Field of Operators |
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| Authors: | Đur[dbar]ica Takači Arpad Takači |
| Affiliation: | 1. Department of Mathematics and Informatics, Faculty of Science , University of Novi Sad , Novi Sad, Serbia and Montenegro takaci@unsim.ns.ac.yu;3. Department of Mathematics and Informatics, Faculty of Science , University of Novi Sad , Novi Sad, Serbia and Montenegro |
| Abstract: | Approximate solutions of a class of nonlinear differential equations are constructed in the field of Mikusiński operators by using a method similar to Euler's. Their character is analyzed and the error of approximation is estimated. The results are applied to a class of partial integro–differential equations. |
| Keywords: | Character of the approximate solutions Integro–differential equations Mikusiński operators |