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Resumen de Existence of unique solutions for perturbed autonomous differential equations

José Ángel Cid Araújo Árbol académico, Rodrigo López Pouso Árbol académico

  • We consider the existence of unique absolutely continuous solutions for x' = p(t)f(x) + p(t)h(t), t 0, x(0) = 0, where p, f, and h are positive almost everywhere, but none of them needs be continuous or monotone. Moreover, p and f can be unbounded around zero. Our uniqueness results are not based on assumptions on the differences f(x) � f(y), as it is usual in most uniqueness results, and they are new even when p, f, and h are continuous

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