[Author]
 Iljin, Yu. A.

[Title]
 On the non-equivalence of two definitions of uniqueness in the theory
 of ordinary differential equations

[AMS Subj-class]
 34-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining
       to ordinary differential equations
 34A12 Initial value problems, existence, uniqueness, continuous dependence
       and continuation of solutions to ordinary differential equations


[Keywords]
 ordinary differential equation, initial value problem, uniqueness of solutions

[Abstract]
 The article examines two classical definitions of uniqueness of the solution
 of the initial value problem in the theory of ordinary differential equations.
 It is shown that these definitions are not in fact equivalent and define
 different concepts and different behavior of solutions.

[Comments]
 Russian, 20 pp.

[Contact e-mail]
 iljin_y_a@mail.ru