Inclusões Dinâmicas em Escalas Temporais: Existência de Soluções sob a Hipótese de Semicontinuidade Inferior

Geraldo Nunes Silva, Iguer Luis Domini dos Santos, Luciano Barbanti

Abstract


Neste trabalho consideramos o problema de inclusão diferencial em escalas temporais cujo campo vetorial é uma multifunção, ou seja, uma função que mapea pontos a conjuntos. O trabalho fornece condições de existência sem exigir compacidade do campo vetorial; exige apenas que ele seja convexo, fechado e semicontínuo inferior. Em trabalhos anteriores na literatura, ou o campo é escalar ou exige-se que este, além de convexo, seja compacto e tenha o gráfico fechado.

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DOI: https://doi.org/10.5540/tema.2012.013.02.0109

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Trends in Computational and Applied Mathematics

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