Sufficiency conditions for the stability of a class of 3-D functions with nonessential singularities of the second kind
In this correspondence, we state sufficiency conditions for boundedness, and 1_{2^-} and 1_{1^-} stabilities of a 3-D function G(z_1, z_2, z_3) = P(z_1, z_2, z_3)/Q(z_1, z_2, z_3) , where Q is a polynomial which is linear in all its three variables, and P/Q has some second kind nonessential singularities in \overline{U}^3 - U^3 . Some illustrative examples are also given.