Abstract
We prove the existence of extremal Carathéodory solutions for the initial value problem x′(t) = f(t, x(t)) for a.e. t ε [0, 1], x(0) = 0, under weak conditions over f: [0, 1] × ℝ → ℝ. © 2001 Elsevier Science.
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CITATION STYLE
APA
Pouso, R. L. (2001). On the cauchy problem for first order discontinous ordinary differential equations. Journal of Mathematical Analysis and Applications, 264(1), 230–252. https://doi.org/10.1006/jmaa.2001.7642
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