In this paper, we study the convergence rates of homogenization problems for composites with general stratified periodic structure. After introduced auxiliary function, we get the representation formula satisfied by oscillatory solution and homogenized solution. Then we utilize the formula in combination with the asymptotic estimates of Green functions to obtain convergence rates in p L of solu...

Numerical solution of the Cauchy problem for the stationary Schrödinger equation in a bounded two-dimensional domain is discussed. The solution algorithm is based on the properties of Faddeev’s Green function. Numerical examples with computer simulated data are presented, including an application to the inverse potential problem of electrocardiography.

Based on the radial basis function (RBF), nonsingular general solution, and dual reciprocity method (DRM), this paper presents an inherently meshless, integration-free, boundaryonly RBF collocation technique for numerical solution of various partial differential equation systems. The basic ideas behind this methodology are very mathematically simple. In this study, the RBFs are employed to appr...

Nowadays green synthesis of metal nanoparticles is a developing area of research. In this study, titanium dioxide nanoparticles were biosynthesized using an aqueous solution of Echinacea purpurea herba extract as a bioreductant. This is novel and interesting method for synthesis of TiO2 nanoparticles. The prepared titanium dioxide nanoparticles were characterized using ultraviolet–visible spect...

The existence and uniqueness of a periodic solution of the system of differential equations d dt x(t) = A(t)x(t − ) are proved. In particular the Krasnoselskii’s fixed point theorem and the contraction mapping principle are used in the analysis. In addition, the notion of fundamental matrix solution coupled with Floquet theory is also employed.  

Background and Objective: Diabetes causes fertility disorders by interfering with the endocrine gland function. There are reports that, green tea and catechins could have anti-oxidant and hypoglycemic properties. Therefore, in the present study, we evaluated the effects of green tea aqueous extract and catechin influence on pituitary-gonadal axis in rat models of type 1 diabetes. Materials & M...

A new max-plus fundamental solution semigroup is presented for a class of lossless wave equations. This new semigroup is developed by employing the action principle to encapsulate the propagation of all possible solutions of a given wave equation in the evolution of the value function of an associated optimal control problem. The max-plus fundamental solution semigroup for this optimal control ...

The mean field Green function solution of the two-band singlet-hole Hubbard model for high-Tc superconductivity in cuprates (Plakida, N.M. et al., Phys. Rev. B51, 16599 (1995), JETP 97, 331 (2003)) involves expressions of higher order correlation functions describing respectively the singlet hopping and the superconducting pairing. Rigorous derivation of their values is reported based on the fi...

Nowadays green synthesis of metal nanoparticles is a developing area of research. In this study, titanium dioxide nanoparticles were biosynthesized using an aqueous solution of Echinacea purpurea herba extract as a bioreductant. This is novel and interesting method for synthesis of TiO2 nanoparticles. The prepared titanium dioxide nanoparticles were characterized using ultraviolet–visible spect...