the aim of this paper is to present a numerical method for singularly perturbed convection-diffusion problems with a delay. the method is a combination of the asymptotic expansion technique and the reproducing kernel method (rkm). first an asymptotic expansion for the solution of the given singularly perturbed delayed boundary value problem is constructed. then the reduced regular delayed diffe...

In this paper, the asymptotic representation of the corresponding eigenfunctions of the eigenvalues has been investigated. Furthermore, we obtain the zeros of eigenfunctions.

Boujari [5] proved a fixed point theorem with an old version of the integraltype contraction , his proof is incorrect. In this paper, a new generalizationof integral type contraction is introduced. Moreover, a fixed point theorem isobtained.

in the present paper‎, ‎we introduce the concept of generalized multivalued $f$ -‎contraction mappings and give a fixed point result‎, ‎which is a proper‎ ‎generalization of some multivalued fixed point theorems including nadler's‎.

in this paper, we prove some common fixed point results for two self mappingsf and g on s-metric space such that f is a g.w.c.m with respect to g.

background and aims: the antioxidant and anti-inflammatory effects of carvacrol were reported. the aim of the current study was an investigation the relaxant effects of carvacrol on acetylcholine-induced contraction in isolated rat's ileum. materials and methods: in this study, the tissues separated from ileum were fixed on the organ bath containing tyrode's solution. the amplitude of...

introduction: thymol has negative ionotropic effect on heart and has direct effect on calcium release from sarcoplasmic reticulum. some of the herbal plants just like carum copticum consist of thymol. the postganglionic neurons of the gastrointestinal parasympathetic system are located mainly in the myenteric and submucosal plexuses. stimulation of these parasympathetic nerves causes general in...

Let G be a sofic group, and let Σ “ pσnqně1 be a sofic approximation to it. For a probability-preserving G-system, a variant of the sofic entropy relative to Σ has recently been defined in terms of sequences of measures on its model spaces that ‘converge’ to the system in a certain sense. Here we prove that, in order to study this notion, one may restrict attention to those sequences that have ...

For a market with an atomless continuum of assets, we formulate the intuitive idea of a ‘‘well-diversified’’ portfolio, and present a notion of ‘‘exact arbitrage’’, strictly weaker than the more conventional notion of ‘‘asymptotic arbitrage’’, and necessary and sufficient for the validity of an APT pricing formula. Our formula involves ‘‘essential’’ risk, one based on a specific index portfolio...