Some properties of caratheodory solutions of x’ = f(t, x).
Our aim is to extend to Carathéodory solutions (see below) a class of theorems originally proved for continuously differentiable solutions of the differential equation . The theorems discussed compare the Carathéodory solutions of two equations of this type and provide uniqueness criteria for the so...
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| Format: | Others |
| Language: | en |
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McGill University
1958
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| Online Access: | http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=111423 |
| Summary: | Our aim is to extend to Carathéodory solutions (see below) a class of theorems originally proved for continuously differentiable solutions of the differential equation . The theorems discussed compare the Carathéodory solutions of two equations of this type and provide uniqueness criteria for the solutions. Also included are two function-theoretic theorems; the implications of one of them with regard to a recent paper of Alexiewicz and Orlicz (1) are discussed in the final chapter. |
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