The Kelvin–Voigt model for a thin stratified two-dimensional visco-elastic strip is analyzed both in the quasistatic and dynamic cases. Neumann boundary conditions on upper lower parts of periodicity with respect to longitudinal variable are stated. A complete asymptotic expansion solution constructed cases, by using dimension reduction combined homogenization technique. error between exact one...

We make two observations on the motion of coupled particles in a periodic potential. Coupled pendula, or space-discretized sine-Gordon equation is an example this problem. Linearized spectrum synchronous turns out to have hidden asymptotic periodicity its dependence energy; gist first observation. Our second observation discovery special property purely sinusoidal potentials: linearization arou...

Diurnal fluctuations in volatility are a well-documented stylized fact of intraday price data. This warrants an investigation how this periodicity (IP) affects both finite sample as well asymptotic properties several popular realized estimators daily integrated which based on functionals number returns. It turns out that most the considered study exhibit finite-sample bias due to IP, can howeve...

background: dirofilaria immitis is an important parasite in dog and other carnivores. our objec­tive was study on incidence and periodicity of heartworm in north of iran and using other meth­ods for its diagnosis in addition to parasitology exam. methods: this survey spanned two years, between 2006 and 2008. blood samples were collected from 431 stray dogs distributed along north of iran, the c...

1 1. Introduction This paper is devoted to the study of asymptotic almost periodicity of bounded solutions for the following time almost periodic one dimensional scalar parabolic equation:    u t = u xx + f (t, x, u, u x), t > 0, 0 < x < 1, u(t, 0) = u(t, 1) = 0, t > 0, (1.1) where f : IR 1 × [0, 1] × IR 1 × IR 1 → IR 1 is a C 2 function, and f (t, x, u, p) with all its partial derivatives (...

We consider a transport process on an infinite network and, using the corresponding flow semigroup as in Dorn (Semigroup Forum 76:341–356, 2008), investigate its long term behavior. Combining methods from functional analysis, graph theory and stochastics, we are able to characterize the networks for which the flow semigroup converges strongly to a periodic group.

In this paper, we extend a convergence result due to Takác to continuous maps satisfying certain monotonicity properties. Applying this extension to the Poincaré map associated with the neutral equation (d/dt)[x(t) b(t)x(t r)] = F[t, x(t), x(t r>] we prove that each solution of the above neutral equation tends to an r-periodic function as ; —» oo in an oscillatory manner, where 0 < b(t) < 1 is ...

To perform an asymptotic analysis of spectra singularly perturbed periodic waveguides, it is required to estimate remainders expansions eigenvalues a model problem on the periodicity cell uniformly with respect Floquet parameter. We propose two approaches this problem. The first based max–min principle and sufficiently easily realized, but has restricted application area. second more universal,...