‎This paper deals with the singular Sturm-Liouville expressions‎ ‎$ ‎ell y =‎ -‎y''+q(x)y=lambda y‎ ‎$‎ ‎on a finite interval‎, ‎where the potential function $q$ is real and‎ ‎has a singularity inside the interval‎. ‎Using the asymptotic estimates of a‎ ‎spectral fundamental system of solutions of Sturm-Liouville‎ ‎equation‎, ‎the asymptotic form of the solution of the‎ ‎equation (0.1) and the ...

The main purpose of this paper is to establish some new results onthe superstability and stability via a fixed point approach forthe Pexiderized exponential equation, i.e.,$$|f(x+y)-g(x)h(y)|leq psi(x,y),$$where $f$, $g$ and $h$ are three functions from an arbitrarycommutative semigroup $S$ to an arbitrary unitary complex Banachalgebra and also $psi: S^{2}rightarrow [0,infty)$ is afunction. Fur...

abstract bowel obstruction is a known complication after bariatric surgery especially roux-en-y gastric bypass. the known etiologies include internal hernia, jejunojejunostomy stricture, ileus, intussusceptions, superior mesenteric artery syndrome, incarcerated port site hernia, and adhesions. blood clot is a rare cause of small intestinal obstruction after laparoscopic roux-en-y gastric bypass...

Note Loss of the Y chromosome from individual metaphases is common in metaphase cells from both PHAstimulated lymphocytes and spontaneously dividing bone marrow cells. The frequency of Y loss is greater in older men, and the size of the 45,X,-Y cell population probably increases gradually with advancing age. (In females, a corollary loss of one X chromosome also occurs with advancing age.) This...

Objective Approximately 15 percent of couples are infertile. The male factor is responsible for approximately 50% of the cases. One of the main genetic factors playing a role in male infertility is Y chromosomal microdeletion within the proximal long arm of the Y chromosome (Yq11), named azoospermia factor (AZF) region. Recent studies have also demonstrated that there is a potential connection ...

Steam reforming is one of the most important processes for producing hydrogen from hydrocarbon fuels such as LPG and has attracted much attention due to its high efficiency and economy. In this study, the LPG steam reforming reaction was investigated on nickel catalysts supported on four various zeolites (H-Y, Na-Y, HZSM5 and Ferrierite). The catalytic tests were performed in a tubular fixed be...

In Early Modern Persian prose and verse, verbs with a present stem accompanied by grapheme "-y" have been used to express modal concepts of imperative and command or invocation and request. Researchers, regardless of the historical changes of Early Modern Persian, believe that this structure of  subjunctive 2nd person singular has been used to express imperative mood, and that &q...

Let £ be a $0$-distributive lattice with the least element $0$, the greatest element $1$, and ${rm Z}(£)$ its set of zero-divisors. In this paper, we introduce the total graph of £, denoted by ${rm T}(G (£))$. It is the graph with all elements of £ as vertices, and for distinct $x, y in £$, the vertices $x$ and $y$ are adjacent if and only if $x vee y in {rm Z}(£)$. The basic properties of the ...

in this paper, we introduce the notion of an action $y_x$as a generalization of the notion of a module,and the notion of a norm $vt: y_xto f$, where $f$ is a field and $vartriangle(xy)vartriangle(y') =$ $ vartriangle(y)vartriangle(xy')$ as well as the notion of fuzzy norm, where $vt: y_xto [0, 1]subseteq {bf r}$, with $bf r$  the set of all real numbers. a great many standard mappings on algebr...