Plates and shells are significant structural components in many engineering and industrial applications. In this study, the free vibration analysis of annular plates is investigated. To this aim, two different numerical methods including the differential quadrature and the discrete singular convolution methods are performedfor numerical simulations. Moreover, the Frequency values are obtained v...

In this paper we demonstrate that standard methods of asymptotic inference will break down in a binary choice duration model in a time series setting. This comes about because the dependent variable has a degenerate limit distribution, which makes the asymptotic variance-covariance matrix singular. This result has implications for discrete choice duration panel data models under large N and T a...

We propose a time semi-discrete scheme for the Caginalp phase-field system with singular potentials and dynamic boundary conditions. The is based on splitting which decouples equations convex of energy associated to problem. unconditionally uniquely solvable nonincreasing if step small enough. discrete solution shown converge problem as tends <tex-ma...

In the paper the discrete version of the Morse’s singularity condition is established. This condition ensures that the discrete functional over the unbounded interval is positive semidefinite on the class of the admissible functions. Two types of admissibility are considered.

In this paper, switched controllers are designed for a class of nonlinear discrete singular systems and a class of discrete singular bilinear systems. An invariant principle is presented for such switched nonlinear singular systems. The invariant principle and the switched controllers are used to globally stabilize a class of singular bilinear systems that are not open-loop stable.