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Discontinuous dynamic equations on time scales

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Abstract

We introduce and prove the existence of Hermes, Filippov, and Krasovskii generalized solutions to discontinuous dynamic equations on time scales. We also consider comparisons between the Carathéodory, Euler, Filippov, Hermes, and Krasovskii generalized solutions to discontinuous dynamic equations on time scales.

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  1. Departamento de Matemática, Faculdade de Engenharia de Ilha Solteira, UNESP, Univ Estadual Paulista, Rua Rio de Janeiro, 266, Ilha Solteira, São Paulo, CEP 15385-000, Brazil

    Iguer Luis Domini dos Santos

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  1. Iguer Luis Domini dos Santos
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dos Santos, I.L.D. Discontinuous dynamic equations on time scales. Rend. Circ. Mat. Palermo 64, 383–402 (2015). https://doi.org/10.1007/s12215-015-0206-x

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  • DOI: https://doi.org/10.1007/s12215-015-0206-x

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