Issue 3, Volume 24, December 1999

1999 · Open access

1. THE PROPERTIES $(\Omega­)$ AND $(\underline{DN})$ OF SPACES OF ENTIRE FUNCTIONS OF BOUNDED TYPE LE MAU HAI, NGUYEN VAN KHUE, NGUYEN HA THANH PDF

   ▸ Abstract

   The first goal of this paper is to establish properties $(\Omega­$) and $(\underline{DN})$ for spaces of entire functions of bounded type on $(DF)$-spaces. Next we show the connection between the property $(\underline{DN})$ fulfilled on $H(E_b^\prime)$ and the existence of a non-pluripolar compact set in $E_b^\prime$ under the assumption that $E$ is a Frechet-Montel space.

   247-262
2. ON A PROPERTY OF INFINITELY DIFFERENTIABLE FUNCTIONS HOANG MAI LE PDF

   ▸ Abstract

   In this paper, the existence of $\lim_{n\to\infty}\| f^{(n)}\|_{N_{\Phi}}^{1/n}$ for an arbitrary function $f\in C^{\infty}(\mathbb R)$ such that $f^{(n)}\in N_{\Phi}$, $n=0,1,\dots$ and the concrete calculation of $\lim_{n\to\infty}\| f^{(n)}\|_{N_{\Phi}}^{1/n}$ are shown.

   263-270
3. GEOMETRIC MONODROMY OF POLYNOMIALS OF TWO COMPLEX VARIABLES PHAM TIEN SON PDF

   ▸ Abstract

   We establish some relations between the polar curve and the discriminant locus of a polynomial $f$ of two complex variables. We then describe the set of bifurcation values of $f$ via its discriminant locus. Based on the Puiseux expansions at infinity of the discriminant locus of $f$, we also give certain sufficient conditions for the geometric monodromy of $f$ around a critical value at infinity to have no fixed points.

   283-310
4. ON THE UNIFORMITY OF MEROMORPHIC FUNCTIONS NGUYEN DINH LAN PDF

   ▸ Abstract

   The paper gives, in terms of the linear topological invariants, some conditions under which every $F^\prime$-valued meromorphic function on the dual space of a Frechet-Montel space is of uniform type.

   331-342
5. SOME PROPERTIES OF FUNCTIONS WITH BOUNDED SPECTRUM TRUONG VAN THUONG PDF

   ▸ Abstract

   In this paper we prove that the results obtained in [3] for $L_p$-norm are still valid for a norm which is generated by a concave function.

   343-352
6. ROBUST STABILITY OF POSITIVE LINEAR TIME-DELAY SYSTEMS UNDER AFFINE PARAMETER PERTURBATIONS NGUYEN KHOA SON, PHAM HUU ANH NGOC PDF

   ▸ Abstract

   In this paper we study robust stability of positive linear time-delay systems under arbitrary affine parameter perturbations. It is shown that real and complex stability radii of positive systems coincide for block-diagonal disturbances. Moreover, for these stability radii, estimates and computable formulae are derived which generalize to positive retarded systems known results obtained earlier for positive systems with no time-delays. Some illustrative examples are given.

   353-372