The generic simplicity of the spectrum of a Schrödinger-type operator on the n-dimensional torus is studied using the Rayleigh-Schrödinger perturbation theory. The existence of a perturbation potential of the Laplacian is proved and suitable conditions on the potential that guara...
Open access
Research Article10.9734/ARJOM/2017/31160
In this paper we consider the problem about the conditions on f(x), g(x) and a(t) to ensure that all solutions of (1) are continuable and oscillatory using non usual assumptions.
Open access
Research Article10.9734/ARJOM/2017/30885
The asymmetric information plays critical role in all economics. In the presence of asymmetric information in a given market, market prices of assets are different with those prices under the no arbitrage assumption. It has fundamental effects on the market equilibrium. [1] consi...
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Research Article10.9734/ARJOM/2017/29175
In this paper, the Kalman filter for a variance term of state space models is derived. First, it is assumed that the innovation term of state space model have a GARCH structure and the Kalman filter is derived. Then, it is assumed that the error term of observation equation is GA...
Open access
Research Article10.9734/ARJOM/2017/29172
Strong consistency and conditional asymptotic normality of the conditional least squares estimator of a parameter appearing nonlinearly in the time dependent drift coefficient of the Itô stochastic differential equation are obtained under some regularity conditions when the corre...
Open access
Research Article10.9734/ARJOM/2017/38665
Numerical analysis is presented to investigate the chemical reaction effects on magnetohydrodynamics convection slip flow of nanofluid in a saturated porous media over a radiating stretching sheet with heat source/sink. The model used for the nanofluid incorporates the effects of...
Open access
Research Article10.9734/ARJOM/2017/30730
Outbreak of Ebola virus disease in early 2014 in West Africa is a major highlight for many researchers throughout the world because of the high mortality rate. Ebola disease is caused by a virus called the Ebola virus which can be transmitted from infected humans to uninfected hu...
Open access
Research Article10.9734/ARJOM/2016/30297
Let Δg be the Laplacian on smooth functions on a compact Riemannian manifold (M, g) and ζg the associated spectral zeta function. Some special values of the spectral zeta function and their generalisations such as the spectral height and spectral determinant usually defined in t...
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Research Article10.9734/ARJOM/2016/30523
The aim of this paper is to present some common fixed point theorems for g-monotone maps involving rational expression in the framework of S-metric spaces endowed with a partial order using a class of pairs of functions satisfying certain assumptions.
Open access
Research Article10.9734/ARJOM/2016/28960
Aims/objectives: In this paper, we study the Sheffer polynomials through the sequential representation of delta operator in Finite Operator Calculus. The major objective is to investigate the characterization of the delta operator for the Simple Laguerre, the Boole and Mittag-Lef...
Open access
Research Article10.9734/ARJOM/2016/29899