The aim of this paper is to investigate the Hyers-Ulam stability of the  linear differential equation$$y''(x)+alpha y'(x)+beta y(x)=f(x)$$in general case, where $yin C^2[a,b],$  $fin C[a,b]$ and $-infty

In this paper, we solve the quadratic $alpha$-functional equations $2f(x) + 2f(y) = f(x + y) + alpha^{-2}f(alpha(x-y)); (0.1)$ where $alpha$ is a fixed non-Archimedean number with $alpha^{-2}neq 3$. Using the fixed point method and the direct method, we prove the Hyers-Ulam stability of the quadratic $alpha$-functional equation (0.1) in non-Archimedean Banach spaces.

Human fibrinogen chromatographed on DEAE-cellulose resolves into two components containing 85% (peak 1 ) and 15% (peak 2) of the total fibrinogen. Peak 1 and peak 2 differ only in the composition of their ‘y chains, with peak 1 containing only one type of “y chain and peak 2 containing equal amounts of ‘y chain and a second chain, called ‘y’. In an effort to explain the difference in the amount...

ABSTRACT: Reproductive effi ciency is of economic importance in commercial beef cattle production, since failure to achieve pregnancy reduces the number of calves marketed. Identifi cation of genetic markers with predictive merit for reproductive success would facilitate early selection of females and avoid ineffi ciencies associated with sub-fertile cows. To identify regions of the genome harb...

Yersiniosis is a food-borne illness that has become more prevalent in recent years due to human transmission via the fecal-oral route and prevalence in farm animals. Yersiniosis is primarily caused by Yersinia enterocolitica and less frequently by Yersinia pseudotuberculosis. Infection is usually characterized by a self-limiting acute infection beginning in the intestine and spreading to the me...

In this paper, a new class of multifunctions, called generalized $alpha(mu_{X},mu_{Y})$-continuous multifunctions, has been dened and studied. Some characterizations and several properties concerning generalized $alpha(mu_{X},mu_{Y})$-continuous multifunctions are obtained. The relationships between generalized $alpha(mu_{X},mu_{Y})$-continuous multifunctions and some known concepts are also di...