in  this paper, we investigate the generalizedhyers-ulam-rassias stability for the quartic, cubic and additivefunctional equation$$f(x+ky)+f(x-ky)=k^2f(x+y)+k^2f(x-y)+(k^2-1)[k^2f(y)+k^2f(-y)-2f(x)]$$ ($k in mathbb{z}-{0,pm1}$) in $p-$banach spaces.

In  this paper, we investigate the generalizedHyers-Ulam-Rassias stability for the quartic, cubic and additivefunctional equation$$f(x+ky)+f(x-ky)=k^2f(x+y)+k^2f(x-y)+(k^2-1)[k^2f(y)+k^2f(-y)-2f(x)]$$ ($k in mathbb{Z}-{0,pm1}$) in $p-$Banach spaces.

Quantum-dot cellular automata (QCA) is important technology to be replaced with CMOS. QCA is a new paradigm for digital computing that, theoretically, is expected to reach very high operating frequencies and significant reduction of power consumption. A multiplexer is an important element and it is used in many logic gates and functional circuits. A NAND gate is smaller, area-wise and faster th...

The notion of quantum-dot cellular automata (QCA) as a possible replacement paradigm for conventional transistor-based logic is reviewed. Experiments using metal tunnel structures demonstrating a functional QCA cell are presented. It is shown that single electron tunnelling transistors used as electrometers verify proper switching of the QCA cell. Additionally, we provide evidence for a QCA cel...

won{gil park [won{gil park, j. math. anal. appl., 376 (1) (2011) 193{202] proved the hyers{ulam stability of the cauchy functional equation, the jensen functional equation and the quadraticfunctional equation in 2{banach spaces. one can easily see that all results of this paper are incorrect.hence the control functions in all theorems of this paper are not correct. in this paper, we correctthes...

BACKGROUND Despite a moderate correlation between angiographical stenosis and physiological significance, the mechanism of discordance has not been fully elucidated, particularly regarding the significance of microvascular function. This study sought to clarify whether microvascular function affects visual-functional mismatch between quantitative coronary angiography (QCA) and fractional flow r...

A facile and efficient molecularly imprinted polymer (MIP) recognition element of electrochemical sensor was fabricated by directly electro-polymerizing monomer o-phenylenediamine (oPD) in the presence of template quinoxaline-2-carboxylic acid (QCA), based on one-step controllable electrochemical modification of poly(pyrrole)-graphene oxide-binuclear phthalocyanine cobalt (II) sulphonate (PPY-G...

Quantum-dot cellular automata ~QCA! may provide a novel way to bypass the transistor paradigm to form molecular-scale computing elements. In the QCA paradigm information is represented by the charge configuration of a QCA cell. We develop a theoretical approach, based on the density matrix formalism, which permits examination of energy flow in QCA devices. Using a simple two-state model to desc...

The computation approach known as quantum-dot cellular automata (QCA) is based on encoding binary information in the charge configuration of quantum-dot cells. This paradigm provides a possible route to transistor-less electronics at the nano-scale. QCA devices using single-electron switching in metal-dot cells have been fabricated. Here we examine the limits of switching speed and temperature ...

quantum-dot cellular automata (qca) are a promising nanotechnology to implement digital circuits at the nanoscale. devices based on qca have the advantages of faster speed, lower power consumption, and greatly reduced sizes. in this paper, we are presented the circuits, which generate random numbers in qca. random numbers have many uses in science, art, statistics, cryptography, gaming, gamblin...