The main purpose of this study is aimed at developing new criteria the iterative nature to test asymptotic and oscillation nonlinear neutral delay differential equations third order with noncanonical operator (a(ι)[(b(ι)x(ι)+p(ι)x(ι−τ)′)′]β)′+∫cdq(ι,μ)xβ(σ(ι,μ))dμ=0, where ι≥ι0 w(ι):=x(ι)+p(ι)x(ι−τ). New results are established by using generalized Riccati technique under assumption ∫ι0ιa−1/β(s...

In this work, the normalized time auto-correlation function of the electric field of the light g (τ ) that is scattered by the two kinds of particles in dispersion is investigated. The results show that the logarithm of g (τ) can be consistent with a line and many reasons can cause the deviations between an exponentiality and plots of g (τ ) as a function of delay time τ . The nonexponentiality...

We consider the nonlinear delay differential evolution equation { u′(t) ∈ Au(t)+ f (t, ut ), t ∈ R+, u(t) = g(u)(t), t ∈ [−τ, 0], where τ ≥ 0, X is a real Banach space, A is the infinitesimal generator of a nonlinear semigroup of contractions whose Lipschitz seminorm decays exponentially as t → e−ωt when t → +∞ and f : R+×C([−τ, 0]; D(A)) → X is jointly continuous. We prove that if f Lipschitz ...

A surface acoustic wave based passive temperature sensor capable of multiple access is investigated. Binary Phase Shift Keying (BPSK) codes of eight chips were implemented using a reflective delay line scheme on a Y-Z LiNbO₃ piezoelectric substrate. An accurate simulation based on the combined finite- and boundary element method (FEM/BEM) was performed in order to determine the optimum design p...

This study is to evaluate the sensitivity of Aerosol Optical Depth (AOD τ) to aerosol vertical profile and type, using the Moderate Resolution Imaging Spectroradiometer (MODIS) collection 6 algorithm over land. Four experiments were performed, using different aerosol properties including 3 possible non-dust aerosol models and 14 vertical distributions. The algorithm intrinsic uncertainty was in...

We study the properties of short gamma-ray bursts (GRBs), based on the assumption that they are all connected to the binary neutron star mergers, whose formation mechanism contains a large amount of uncertainty. In particular, the merger time distribution is focused on, which is essential for short GRB rate estimate; we simply parameterize it as Pm(t) ∝ t α with lower cutoff time-scale τ . The ...

We give sufficient conditions to have the finite extinction for all solutions of linear parabolic reaction-diffusion equations of the type ∂u ∂t − ∆u = −M(t)u(t − τ , x) (1) with a delay term τ > 0, on Ω, an open set of R N , M(t) is a bounded linear map on L p (Ω), u(t, x) satisfies a homogeneous Neumann or Dirichlet boundary condition. We apply this result to obtain distributed null controlla...

Consider the following nonlinear delay differential equation with a forcing term r(t) : x′(t)+a(t)x(t)+b(t) f (x(t − τ(t))) = r(t), t 0, where a ∈ C[[0,∞), [0,∞)] , b,τ ∈C[[0,∞),(0,∞)] , r ∈C[[0,∞),R] , f ∈ C[(L,∞),(L,∞)] with −∞ L 0 , and limt→∞(t − τ(t)) = ∞ . We establish a sufficient condition for every solution of the equation to converge to zero. By applying the result to some special cas...

We study the “finite extinction phenomenon” for solutions of parabolic reaction-diffusion equations of the type ∂u ∂t −∆u+ b(t)f(u(t− τ,x)) = 0, (t,x) ∈ (0,+∞)×Ω, with a delay term τ > 0. Here Ω is an open and bounded set in R , b ≥ 0, f is a continuous function, u(t,x) satisfies a homogeneous Neumann or Dirichlet boundary condition on (0,+∞)×∂Ω and some functional initial condition u(s,x) = u0...

We use the redshift distribution of type-Ia supernovae (SNe) discovered by the Supernova Cosmology Project to constrain the star formation history (SFH) of the Universe and SN Ia progenitor models. Given some of the recent determinations of the SFH, the observed SN Ia redshift distribution indicates a long (>∼ 1h −1 Gyr) mean delay time between the formation of a stellar population and the expl...