General existence principles for first order discontinuous ordinary differential equations (Q1366907)
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scientific article; zbMATH DE number 1062332
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | General existence principles for first order discontinuous ordinary differential equations |
scientific article; zbMATH DE number 1062332 |
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General existence principles for first order discontinuous ordinary differential equations (English)
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25 October 1998
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Existence and uniqueness theorems are given for first-order differential equations where the right-hand side is not necessarily continuous. Generalized measurability and a generalized Lipschitz condition are assumed. An existence theorem and the maximal interval of existence of the solution are shown by a nonlinear alternative of Granas et al. These results are obtained without using a generalized Lipschitz condition.
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discontinuous measurable right-hand side
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existence
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uniqueness
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first-order differential equations
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