most recent 30 from http://mathoverflow.net 2013-05-26T02:22:14Z http://mathoverflow.net/feeds/user/18233 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/55289/existence-uniqueness-of-solutions-to-quasi-lipschitz-odes/76976#76976 prp 2011-10-02T09:48:24Z 2011-10-02T09:48:24Z

<p>Osgood's theorem allows for the mappings f(t,x) which are discontinuous at t=0. (Actually, the condition that ϕ(t) is continuous on (0,a) can be replaced with an assumption of mere integrability.) Of course, the existence of a local solution is implied by the Peano theorem under the additional assumption that f is continuous in (t,x).</p>