Measure differential equations with a general nonlocal condition (Q6595553)
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scientific article; zbMATH DE number 7903785
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Measure differential equations with a general nonlocal condition |
scientific article; zbMATH DE number 7903785 |
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Measure differential equations with a general nonlocal condition (English)
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30 August 2024
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The paper is concerned with the existence of regulated solutions for measure differential equations with a nonlocal condition involving a set-valued map. The first result, imposing Kurzweil-Stieltjes integrability together with a powerful convergence result, is available in finite dimensional spaces. The second one, assuming Lebesgue-Stieltjes integrability together with conditions expressed in terms of Hausdorff measure of non-compactness, works in general Banach spaces.
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measure differential equations
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Kurzweil-Stieltjes integral
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Lebesgue-Stieltjes integral
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regulated functions
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nonlocal conditions
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