62 research outputs found
On the Nagumo uniqueness theorem
By a convenient reparametrisation of the integral curves of a nonlinear
ordinary differential equation (ODE), we are able to improve the conclusions of
the recent contribution [A. Constantin, Proc. Japan Acad. {\bf 86(A)} (2010),
41--44]. In this way, we establish a flexible uniqueness criterion for ODEs
without Lipschitz-like nonlinearities
On a fractional differential equation with infinitely many solutions
We present a set of restrictions on the fractional differential equation
, , where and , that
leads to the existence of an infinity of solutions starting from . The
operator is the Caputo differential operator
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