In this paper, we derive a nonlinear Picone identity to the pseudo p-Laplace operator, which contains some known Picone identities and removes a condition used in many previous papers. Some applications are given including a Liouville type theorem to the singular pseudo p-Laplace system, a Sturmian comparison principle to the pseudo p-Laplace equation, a new Hardy type inequality with weight an...

in this paper, we consider orthogonal stability of mixed type additive and cubic functional equation of the form $$f(2x+y)+f(2x-y)-f(4x)=2f (x+y)+2f(x-y)-8f(2x) +10f(x)-2f(-x),$$ with $xbot y$, where $bot$  is orthogonality in the sense of ratz.

The kinetics of the reaction between triphenylphosphine (TPP) and dimethyl acetylenedicarboxylate (DMAD) in the presence of Meldrum's acid (MA) for the generation of the 1,4-diionic organophosphorus compound has been investigated using the stopped-flow and UV-VIS spectrophotometry techniques. The first step of the reaction between TPP and DMAD for the generation of (I₁) in ethanol was followed ...

Interquinone QA- → QB electron-transfer (ET) in isolated photosystem II reaction centers (PSII-RC) is protein-gated. The temperature-dependent gating frequency "k" is described by the Eyring equation till levelling off at T ≥ 240 °K. Although central to photosynthesis, the gating mechanism has not been resolved and due to experimental limitations, could not be explored in vivo. Here we mimic th...

in this paper, an attempt is made to present an extension of darbo's theorem, and its applicationto study the solvability of a functional integral equation of volterra type.

We show by using molecular dynamics simulations that a water overlayer on charged graphene experiences first-order ice-to-liquid (electromelting), and then liquid-to-ice (electrofreezing) phase transitions with the increase of the charge value. Corresponding to the ice-liquid-ice transition, the variations of the order parameters indicate an order-disorder-order transition. The key to this nove...

The acetylcholine-activated channel of chick myotube was studied using the patch-clamp method. Single channel current amplitudes were measured between -300 and +250 mV in solutions containing the permeant ions Cs+ and guanidine (G+). G+ has a relative permeability, PG/PCs, of 1.6, but carries no more than half the current that Cs+ does, with an equivalent electrochemical driving force. Experime...

The thermal management of a system needs an accurate and efficient measurement exergy. For optimal performance, entropy should be minimized. This study explores the enhancement exchange in stream Eyring–Powell fluid comprising nanoparticles saturating vertical oriented dual cylindrical domain with uniform conductivity viscous dissipation effects. A symmetrical sine wave over walls is used to in...

Chemical kinetics is mainly concerned with studying the factors that change reaction rate and response mechanism. The present paper investigates law for reaction, order of secondary alcohols(menthol) compares it to other alcohols like Borneol Isoborneol. Diagnose product oxidation reaction. perfumery [menthol], [Borneol], [Isoborneol] by NDC have been studied in aqueous acetic acid medium at 30...