This paper focuses on the problem of pth moment and almost sure exponential stability impulsive neutral stochastic functional differential equations (INSFDEs). Based Lyapunov function average dwell time (ADT), two sufficient criteria for INSFDEs are derived, which manifest that result obtained in this is more convenient to be used than those Razumikhin conditions former literature. Finally, num...

The effects of oxygen vacancies on the atomic and electronic structures in crystalline Zn2SnO4 were examined by ab initio calculations using a screened hybrid density functional. The formation energy and the electronic structure indicated that the neutral oxygen vacancy was stable in the n-type region with the formation of a deep level in the bandgap. The ionization energy of the oxygen vacancy...

amide-iminol tautomerism was studied for ionized oxamic acid (oa+•) in the gas phase using thedft method with the ub3lyp functional and various basis sets {6-31++g(d,p), 6-311+g(d,p), and augcc-pvdz}. among twenty tautomers-rotamers possible for oa+•, eleven isomers were found to bethermodynamically stable. similarly as for the neutral molecule, ionization (oa → oa+• + e) favors theamidization ...

Abstract: The paper presents a method of determining the Lyapunov quadratic functional for linear time-invariant system with knon-commensurate neutral type time delays. The Lyapunov functional is constructed for its given time derivative, which is calculated on the trajectory of the system with k-non-commensurate neutral type time delays. The presented method gives analytical formulas for the c...