"for some particular cases" is a correct and usable phrase in written English.
You can use it when referring to instances or situations that have certain distinguishing characteristics. For example, "The current regulations do not apply for some particular cases; a special set of rules is necessary."
Such a result was known only for some particular cases.
Applications for some particular cases including the power and logarithmic functions are provided as well.
Our main results consist in two uniqueness theorems obtained for some particular cases of problem (1.2).
For some particular cases of,,, and, Theorem 3.5 reduces to Corollary, Corollary in [6], Theorem, and Theorem in [14].
In this paper, we find physical realizability conditions for general case and also for some particular cases.
The majority of stiff adhesives are employed in structural applications, while flexible adhesives are indicated for some particular cases.
Usually, the discovery of these references has not driven modern scholars to arrive at even tentative conclusions about the real extent of this influence and the ways of its spreading among Jewish authors, apart from some particular cases – for example, that of Arabic sources of 14th-century Jewish logic in Provence (see Zonta 1997b).
(1) Some particular cases for this model have been investigated in [3, 4, 26], where the basic reproduction number is calculated, and the dynamical properties, such as the local and global stability of disease-free equilibrium and endemic equilibrium and the extinction and persistence of the disease are established.
In some particular cases (as, for example, the problem studied in [3]) our Definition 4 of a solution is equivalent to that of a robust solution.
Besides that, in some particular case, for the first time the uniqueness of homoclinic solutions is also obtained.
For some other particular cases, see equation (39) of the paper.
