'border case' is correct and usable in written English.
You can use the term 'border case' when you are referring to a situation or example that falls between two distinct categories. For example, "The judge ruled that this was a border case and the defendant should be released without charge."
Your April 28 news article about the C.I.A.'s disclosure that Hitler's physician considered him a "border case between genius and insanity" is interesting, but not surprising.
This border case is probably the most difficult one, and it surely will require a quite different approach.
In the border case (alpha=1), this is analogous to saying that A is the generator of an exponentially stable (C_{0} -semigroup.
It is to be noted that in the border case, the family corresponds to a classical strongly continuous semigroup, whereas in the case a solution operator corresponds to the concept of a cosine family.
Based on results of [24] (see also [25, 26]), the conjecture is given in our previous paper [5] that the border case (M ( {{r_{k}^{-1}} } ) M {s_{k}}) = 1/4 ) from Corollary 1 is not solvable for general coefficients; i.e., in the border case, there exist oscillatory equations in the form of (3.41) and, at the same time, there exist non-oscillatory equations in this form.
Because of the uniqueness of the Laplace transform, in the border case the family corresponds to a -semigroup, whereas in the case a solution operator corresponds to the concept of a cosine family; see Arendt et al. [56] and Fattorini [57].
The newly refurbished facility is used for border cases.
We always argued that the immigration system would still need to deal with both exceptional cases and border cases.
'Whatever the casuistry of border cases, it is broadly a totally different thing to search a man's pockets and use against him what they contain, from ransacking his house for everything which may incriminate him, once you have gained lawful entry, either by means of a search warrant or by his consent.
At times, there are border cases, such as Silz v. Hesterberg, 211 U.S. 31, where the decision in all likelihood was influenced, even if it is not wholly explained, by a recognition of the special and restricted nature of rights of property in game.
To illustrate some limitations, we discuss two border cases: Example 1: Two satellites are modelled independently.
