In this paper we introduce a generalization of Meir-Keeler contraction forrandom mapping T : Ω×C → C, where C be a nonempty subset of a Banachspace X and (Ω,Σ) be a measurable space with being a sigma-algebra of sub-sets of. Also, we apply such type of random fixed point results to prove theexistence and unicity of a solution for an special random integral equation.

A phase-sensitive setup for near-field acoustic holography was established in order to determine the characteristic resonance modes of a vibrating membrane. The experiment was carried out using a frame drum as the vibrating system of interest. By exciting the membrane at certain fundamental frequencies and recording the complex signals from the pressure and particle velocity fields across the d...

Abstract: The neutrino quasinormal modes of the Reissner-Nordström (RN) black hole are investigated using continued fraction approach. We find, for large angular quantum number, that the quasinormal frequencies become evenly spaced and the spacing of the real part depends on the charge of the black hole and that of the imaginary part is zero. We then find that the quasinormal frequencies in the...

The influence of mass inhomogeneities on the angular size-redshift test is investigated for a large class of flat cosmological models driven by dark energy plus a cold dark matter component. The results are presented in two steps. First, the mass inhomogeneities are modeled by a generalized Zeldovich-Kantowski-Dyer-Roeder (ZKDR) distance which is characterized by a smoothness parameter α(z) and...

We study the radial symmetry properties of stationary and uniformly rotating solutions 2D Euler gSQG equations, both in smooth setting patch setting. For equation, we show that any solution with compactly supported nonnegative vorticity must be radial, without assumptions on connectedness support or level sets. equation setting, every D angular velocity Ω≤0 Ω≥1 2 where bounds are sharp. obtain ...

We compute the mean first passage time (MFPT) for a Brownian particle inside a two-dimensional disk with reflective boundaries and a small interior trap that is rotating at a constant angular velocity. The inherent symmetry of the problem allows for a detailed analytic study of the situation. For a given angular velocity, we determine the optimal radius of rotation that minimizes the average MF...

Abstract Micro four-point probing is a branch of electrical metrology where (and electromagnetic) properties charge carriers such as conductance, mobility, and tunneling magnetoresistance can be accurately precisely determined at the μm scale below. Here, we propose demonstrate novel application micro probe (M4PP) aimed quantifying thermoelectric sample. Specifically, show that for an AC curren...

Vibrational resonance (VR) is a phenomenon wherein the response of nonlinear oscillator driven by biharmonic forces with two different frequencies, ω and Ω, such that Ω≫ω, enhanced optimizing parameters high-frequency driving force. In this paper, an counterintuitive scenario in which biharmonically does not vibrate under well known VR conditions reported. This behaviour was observed system int...

We solve a recent conjecture, proving that the Lebesgue constant of Chebyshev-like angular nodes for trigonometric interpolation on a subinterval [−ω, ω] of the full period [−π, π] is attained at ±ω, its value is independent of ω and coincides with the Lebesgue constant of algebraic interpolation at the classical Chebyshev nodes in (−1, 1). 2000 AMS subject classification: 42A15, 65T40.

Acute kidney injury (AKI), as defined by the precipitous decline in GFR, is frequently encountered in the elderly. The effect of advancing age in decreasing renal reserve and the associated comorbid conditions of elderly patients increase the risk for the development of AKI. Although studies describing the incidence of AKI in this population are difficult to compare because the definitions of A...