The primary aim of this paper is to define new concepts, A homogenous system difference equations called -semi order if there exists a non-zero matrix

in this paper, an analytical solution for computing the linear plastic stresses and critical temperature and pressure in a fgm hollow cylinder under the internal pressure and temperature is developed. it has been assumed that the modulus of elasticity and thermal coefficient of expansion were varying through thickness of the fgm material according to a power law relationship. the poisson's...

amidoalkyl-2-naphthols as synthetic intermediates play an important role in medicinal chemistry due to their remarkable biological and many pharmacological properties. owing to the versatile biological activities, industrial and synthetic applications of these compounds, introduction of an alternative methodology is urgent in synthetic organic chemistry. low yield and harsh reaction conditions ...