Some remarks on a paper by samimi on nonuniqueness criteria for ordinary differential equations

Abstract

In [4] M. SAMIMI gives nonuniqueness theorems for initial value problems x' = f(t,x), x(0) = xo, where f is not defined at t = 0. But the result for the scalar case only holds with the additional assumption that one solution exists. The applicability of the revised theorem is shown. The result for the n-dimensional case is generalized.

Nonuniqueness theorem for a singular Cauchy‐Nicolettiproblem

“…The nonuniqueness of a regular or singular Cauchy problem for ordinary differential equations is studied in several papers such as [3,4,5,13,14,15,16,17]. Most of these results can also be found in the monograph [1].…”