This paper deals with the effect of the intrinsic material length-scale parameter on the stability and natural frequency of a rectangular micro-plate for two different cases; fully clamped and fully simply supported. A variational formulation based on Hamilton’s principle and the modified couple stress theory is used to obtain the nonlinear governing equation of a micro-plate incorporating the ...

The fixed point alternative methods are implemented to giveHyers-Ulam  stability for  the quintic functional equation $ f(x+3y)- 5f(x+2y) + 10 f(x+y)- 10f(x)+ 5f(x-y) - f(x-2y) = 120f(y)$ and thesextic functional equation $f(x+3y) - 6f(x+2y) + 15 f(x+y)- 20f(x)+15f(x-y) - 6f(x-2y)+f(x-3y) = 720f(y)$   in the setting ofintuitionistic fuzzy normed spaces (IFN-spaces).  This methodintroduces a met...

We study local stability of self-gravitating fluid and stellar disk in the context of modified gravity theories which predict a Yukawa-like term in the gravitational potential of a point mass. We investigate the effect of such a Yukawa-like term on the dynamics of self-gravitating disks. More specifically, we investigate the consequences of the presence of this term for the local stability of t...

using the density functional theory (dft) level by means of 3-21g, 6-31g and 6-31+g (d) basissets, the structural optimization of isolated pyrazole and pyrazoline was done in the gas phase. then,the calculation about the solvent effect on the stability energies of pyrazole and pyrazoline wasperformed for the ten solvents using pcm model method at b3lyp/6-31+g(d) and then the dielectriceffects o...

The Riesz basis property of the generalized eigenvector system of a Timoshenko beam with boundary feedback is studied. Firstly, two auxiliary operators are introduced, and the Riesz basis property of their eigenvector systems is proved. This property is used to show that the generalized eigenvector system of a Timoshenko beam with some linear boundary feedback forms a Riesz basis in the corresp...

Abstract: In this paper, setting the high-tech industry as the background, we build a dynamic duopoly game model in two cases with different government subsidies based on the innovation inputs and outputs, respectively. We analyze the equilibrium solution and stability conditions of the system, and study the dynamic evolution of the system under the conditions of different system parameters by ...

Flibanserin is a novel antagonist small molecule to treat the hypoactive sexual desire disorder (HSDD) in the premenopausal women. The present article is related to the structural and electronic properties study and docking analysis of the title compound with 5-hydroxytryptamine 2A (5-HT2A) serotonin receptor. To access these aims, the molecular structure of the said compound was optimized usin...

A theoretical study analyzing three-dimensional combustion acoustic instabilities in a liquid propellant rocket engine combustor has been conducted. A linear theory based on Crocco’s pressure sensitive time lag model is used. To apply this theory the combustor is divided into two main components, including the combustion chamber and the converging part of the nozzle. The assumption of concentra...

The concept of asymptotical stability is fundamental in the theory of ordinary and partial differential equations. In this way the stability theory leads to the real world applications. The recent advances of stability theory interact with spectral theory, harmonic analysis, modern topics of complex functions theory and also with control theory. This note begins with the following simple remark...