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...
Open access
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...
Open access
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...
Open access
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....
Open access
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...
Open access
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...
Open access
Research Article10.9734/ARJOM/2018/43944