ISSN:
1433-0490
Source:
Springer Online Journal Archives 1860-2000
Topics:
Computer Science
Notes:
Abstract Various criteria are known for assuring uniqueness of the solution of a system ofn ordinary differential equations,x′ = f(t, x), with initial conditionx(t 0) = x0. Most of these involve some sort of relaxed Lipschitz condition onf(t, x), with respect tox, valid on an open setD ⊂ R 1+n which contains the point (t 0, x0). The present paper generalizes (and unifies) a number of known uniqueness criteria to cover cases when (t 0, x0) lies on the boundary ofD.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01715361
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