Positive solutions to generalized Dickman equation |
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| Institution: | Brno University of Technology, Faculty of Civil Engineering, Brno, Czech Republic |
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| Abstract: | The paper investigates large-time behaviour of positive solutions to a generalized Dickman equation. The asymptotic behaviour of dominant and subdominant positive solutions is analysed and a structure formula describing behaviour of all solutions is proved. A criterion is also given for sufficient conditions on initial functions to generate positive solutions with prescribed asymptotic behaviour with values of their weighted limits computed. |
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| Keywords: | Generalized Dickman equation Positive solution Dominant solution Subdominant solution Asymptotic behaviour Delay Weighted limit |
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