On the process of successive approximation in initial value problems |
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Authors: | Aurel Wintner |
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Institution: | (1) Baltimore, USA |
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Abstract: | Summary The convergence of the process of the successive approximations for the initial value problem dw/dz=f(z, w), w(0)=0, is studied in the complex field. The resulting z-domains of convergence are more favorable than those supplied by the classical
approach. The improvement is made possible by the use of a ? principle of subordination ?, which allows a ? comparison test
? relative to the real field. |
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Keywords: | |
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