http://tainguyenso.vnu.edu.vn/jspui/handle/123456789/12056 2026-05-20T05:20:31Z http://tainguyenso.vnu.edu.vn/jspui/handle/123456789/12825 Stability Radii for Difference Equations with Time-varying Coefficients Le, Hong Lan This paper deals with a formula of stability radii for an linear difference equation (LDEs for short) with the coefficients varying in time under structured parameter perturbations. It is shown that the $l_p-$ real and complex stability radii of these systems coincide and they are given by a formula of input-output operator. The result is considered as an discrete version of a previous result for time-varying ordinary differential equations \cite{Jacob98}. 2010-01-01T00:00:00Z http://tainguyenso.vnu.edu.vn/jspui/handle/123456789/12824 Stability Radius of Linear Dynamic Equations with Constant Coefficients on Time Scales Le, Hong Lan; Nguyen, Chi Liem This paper considers the exponential stability and stability radius of time-invarying dynamic equations with respect to linear dynamic perturbations on time scales. A formula for the stability radius is given. 2010-01-01T00:00:00Z http://tainguyenso.vnu.edu.vn/jspui/handle/123456789/12823 On the Oscillation, the Convergence, and the Boundedness of Solutions for a Neutral Difference Equation Dinh, Cong Huong In this paper, the oscillation, convergence and boundedness for neutral difference equations $$\Delta(x_n + \delta_nx_{n-\tau}) + \sum_{i = 1}^r\alpha_i(n)F(x_{n-m_i})=0, \quad n = 0, 1, \cdots$$ are investigated. 2010-01-01T00:00:00Z http://tainguyenso.vnu.edu.vn/jspui/handle/123456789/12820 Calculation of Lindemann’s melting Temperature and Eutectic Point of bcc Binary Alloys Nguyen, Van Hung; et al. Analytical expressions for the ratio of the root mean square fluctuation in atomic positions on the equilibrium lattice positions and the nearest neighbor distance and the mean melting curves of bcc binary alloys have been derived. This melting curve provides information on Lindemann’s melting temperatures of binary alloys with respect to any proportion of constituent elements and on their euctectic points. Numerical results for some bcc binary alloys are found to be in agreement with experiment. 2010-01-01T00:00:00Z