In this paper, we considered the perturbed risk model with two-sided jumps, where ruin can only occur at some Poisson times. A generalized Gerber-Shiu-type function is discussed involving the number of observations, the ruin time and the de cit at ruin. Integro-differential equat...
Open access
Research Article10.9734/ARJOM/2018/43494
In this work, we apply the Averaging Method to obtain the theoretical results. The Nonlinear Saturation Controller (NSC) is proposed to decrease the vacillations of the spring pendulum. We investigate the stability of the system nigh the resonance condition by applying the freque...
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Research Article10.9734/ARJOM/2018/44589
Using analytic approach we study the effect of HPA axis secretions no the emotional variation of bipolar II disorder patient. Modified Duffing – Van der Pol oscillator was used to model the emotional variation, that was solved analytically using multiple scale perturbation to obt...
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Research Article10.9734/ARJOM/2018/44091
Semi generalised closed set in a Topological space was first introduced by P. Bhattacharya and B.K.Lahiri in 1987. A subset A of a topological space (X,Ƭ) is a semi generalised closed (sg-closed) set if scl(A) ⊆ U whenever (A) ⊆ U and U is semi-open in (X,Ƭ) . Some authors introd...
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Research Article10.9734/ARJOM/2018/43569
This study analyzes laminar forced convection flow in parallel plate micro-channel with slip velocity and temperature jump in the presence of transverse magnetic field. Closed-form solutions are obtained for velocity and thermal profiles when both walls of the channel are kept at...
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Research Article10.9734/ARJOM/2018/44343
It has been preliminary researched that function series and power series in mathematical analysis course. There are some basic properties and the basic conclusion in the courses. This article is based on the basic theory and properties, for them to make a further in-depth study....
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Research Article10.9734/ARJOM/2018/43909
In this paper we evaluate the number of representations of n(∈ N) as a sum of four triangular numbers by simple method based on Jacobi's theta functions dened by
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Research Article10.9734/ARJOM/2018/43409
There are two basic problems in the qualitative theory of planar nonlinear differential equations, namely the center focus and the limit cycle. The decision problem of the center focus is also the premise and foundation of the study on the limit cycle. Therefore, the study of the...
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Research Article10.9734/ARJOM/2018/43884
Despite the preventive and control strategies in place, ZikV disease still persists especially in the Western countries and the Pacific islands. In this study, a spatiotemporal model is developed and analyzed to describe the transmission dynamics of ZikV disease and deduce potent...
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Research Article10.9734/ARJOM/2018/43944
We perform numerical simulation and sensitivity analysis on a mathematical model of Ebola transmission to determine the biological significance of key model parameters in relation to disease transmissions and prevalence. The indices from the forward sensitivity of Reff affirm th...
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Research Article10.9734/ARJOM/2018/43921
The effect of magnetic field on radioactive alpha decay was examined theoretically. The alpha decay and magnetic field potential are added to the time independent Schrodinger wave equation and the Jeffreys, Wentzel, Kramers and Brillouin (JWKB) method was used to examine the rad...
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Research Article10.9734/ARJOM/2018/43203
In this study, a thermoplastic such as polycarbonate (PC) has been characterized to determine its tensile strength and flexural strength properties. The width and thickness of the PC samples have been measured, and then their average dimensions and standard deviation values were...
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Research Article10.9734/ARJOM/2016/28947
The a:k:m-Fibonacci sequence is defined recursively by . We introduce the generalized a:k:m-Fibonacci sequence with arbitrary integers and and study some important properties relating to the Pascal type triangle generated from this sequence. The results are extended to negative...
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Research Article10.9734/ARJOM/2018/42751
In this paper, we establish some new Turán type inequalities related to the remainder of q-analogue of exponential functions. Our results are shown to be a generalization which were obtained by K. Mehrez in 2015.
Open access
Research Article10.9734/ARJOM/2018/43514