We analyse the effect of a $generic$ continuous additive perturbation to well-posedness ordinary differential equations. Genericity here is understood in sense prevalence. This allows us discuss these problems setting where we do not have commit ourselves any restrictive assumption on statistical properties perturbation. The main result that generic renders Cauchy problem well-posed for arbitra...

We show that the commonly adopted hot dark matter (HDM) bound on axion mass $m_a \lesssim$ 1 eV is not reliable, since it obtained by extrapolating chiral expansion in a region where effective field theory breaks down. This explicitly shown via calculation of axion-pion thermalization rate at next-to-leading order perturbation theory. finally advocate strategy for sound extraction HDM lattice Q...

The best bound known on 2-locally distillable entanglement is that of Vedral and Plenio, involving a certain measure of entanglement based on relative entropy. It turns out that a related argument can be used to give an even stronger bound; we give this bound, and examine some of its properties. In particular, and in contrast to the earlier bounds, the new bound is not additive in general. We g...

This paper presents a general investigation into the improvement of modal scaling factors of an experimental modal model using mass additive technique. Data base required by the proposed method consists of an experimental modal model (a set of complex eigenvalues and eigenvectors) of the original structure and a corresponding set of complex eigenvalues of the mass-added structure. Three analyti...

In this paper an Adaptive Continuous Twisting Algorithm (ACTA) is presented. For double integrator, ACTA produces a continuous control signal ensuring finite time convergence of the states to zero. Moreover, the control signal generated by ACTA, compensates the Lipschitz perturbation in finite time, i.e. its value converges to the opposite value of the perturbation. ACTA also keeps its converge...

In a semiclassically quantized two-dimensional cosmological model, it can be shown that the parameter of the equation of state for the accelerating universe can be positive due to the negative energy density and the negative pressure, which is a little different from the conventional wisdom that the parameter is negative with the positivity of the energy density. Furthermore, we show that the f...