in the present paper a solution of the generalizedquadratic functional equation$$f(kx+ y)+f(kx+sigma(y))=2k^{2}f(x)+2f(y),phantom{+} x,yin{e}$$ isgiven where $sigma$ is an involution of the normed space $e$ and$k$ is a fixed positive integer. furthermore we investigate thehyers-ulam-rassias stability of the functional equation. thehyers-ulam stability on unbounded domains is also studied.applic...

2-d and axisymmetric navier-stokes equations are solved using reiman-roe solver with different limiters for second-order accurate schemes. the results were obtained for supersonic viscous flows over semi-infinite axisymmetric and 2-d bodies. the free stream mach numbers were 7.78 and 16.34. the stability of roe method with different limiters and entropy conditions were considered. the results s...

aceclofenac is a non-steroidal anti-inflammatory drug (nsaid) that exhibits analgesic, antipyretic and anti-inflammatory activities. it is practically insoluble in water. the effect of hydrotropes such as urea and sodium citrate and blends (urea + sodium citrate) on the solubility of aceclofenac was investigated. the enhancement in the solubility of aceclofenac was more than 5 and 25 folds in 3...

objectives the aim of this study was to evaluate the stability of antibacterial properties of nanosilver solution during a period of 9 months against streptococcus mutans, staphylococcus aureus and pseudomonas aeruginosa. materials and methods in this in vitro study, the antibacterial effect of serial concentrations of nanosilver solution and amoxicillin antibiotic as control group on the stand...

a nonlocal beam model based on the bernoulli–euler beam theory is presented to investigate the dynamic stability of embedded single-walled carbon nanotubes (swcnts) in thermal environment under combined static and periodic axial loads. the dynamic stability analysis is carried out by including the effects of small-scale parameter, temperature change and elastic medium. the equation of motion is...

This paper focuses on the stability of multifactor uncertain differential equation. The stability for the solution of multifactor uncertain differential equation is investigated, including stability in measure and stability in mean. Some stability theorems for the solution of such type of uncertain differential equation are given, in which some sufficient conditions for a multifactor uncertain ...

Atropine (AT) and oximes, alone or in combination, have been proven greatly valuable therapeutics in the treatment of organophosphates intoxications. An injectable mixture of AT and obidoxime (OB) was formulated for administration by automatic self-injector. The aqueous single dose solution contained 275 mg obidoxime chloride and 2.5 mg atropine sulfate per 1 ml (220 mg and 2 mg per 0.8 effecti...

We investigate stability of the solution of a set of partial differential equations, which is used to model a peri-implant osseointegration process. For certain parameter values, the solution has a 'wave-like' profile, which appears in the distribution of osteogenic cells, osteoblasts, growth factor and bone matrix. This 'wave-like' profile contradicts experimental observations. In our study we...

In this work, we analyze the linear stability of singular homoclinic stationary solutions and spatially periodic stationary solutions in the one-dimensional Gray-Scott model. This stability analysis has several implications for understanding the recently discovered phenomena of self-replicating pulses. For each solution constructed in A. Doelman et al. [Nonlinearity 10 (1997) 523-563], we analy...