The equivalent linearization method introduced by Caughey is a powerful tool for analyzing random oscillations. The method is also easy to apply for deterministic oscillations. However, with strong nonlinear systems, the error of this method is usually quite large and even not ac...
Open access
Research Article10.9734/arjom/2019/v15i430154
In this paper, we investigate the generalized fifth order Pell sequences and we deal with, in detail, three special cases which we call them as fifth order Pell, fifth order Pell-Lucas and modied fifth order Pell sequences.
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Research Article10.9734/arjom/2019/v15i330150
This paper considers Hyers-Ulam-Rassias instability for linear and nonlinear systems of differential equations. Integral sufficient conditions of Hyers-Ulam-Rassias instability and Hyers-Ulam instability for linear and nonlinear systems of differential equations are established....
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Research Article10.9734/arjom/2019/v15i330151
The model describing the interaction between the predator and prey species is referred to as a predator-prey model. The migration of these species from one patch to another may not be instantaneous. This may be due to barriers such as a swollen river or a busy infrastructure thro...
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Research Article10.9734/arjom/2019/v15i330148
This paper solves the problem faced by a pension fund manager in determining the optimal selection strategies involving four different assets comprising of one risk free asset and three risky assets whose prices are modelled by geometric Brownian motion. Also, a clause mandating...
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Research Article10.9734/arjom/2019/v15i330149
The relevance of students’ academic interest in mathematics is of great concern to stakeholders in education. The present study models students’ interest in mathematics (SIM) using mathematics facility (MF), mathematics connection (MC), teacher motivation (TM) as well as instruct...
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Research Article10.9734/arjom/2019/v15i330147
Terna Godfrey Ieren, Felix M. Kromtit, Blessing Uke Agbor, Innocent Boyle Eraikhuemen & Peter Oluwaseun Koleoso·Asian Research Journal of Mathematics·2019
This paper uses a power transformation approach to introduce a three-parameter probability distribution which gives another extension of the Gompertz distribution known as “Power Gompertz distribution”. The statistical features of the power Gompertz distribution are systematicall...
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Research Article10.9734/arjom/2019/v15i230146
In this paper, we develop the double step hybrid linear multistep method for solving second order initial value problems via interpolation and collocation method of power series approximate solution to give a system of nonlinear equations which is solved to give a continuous hybr...
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Research Article10.9734/arjom/2019/v15i230145
This paper presents some new inequalities on Fractional calculus in the context of q-calculus. Fractional calculus generalizes the integer order differentiation and integration to derivatives and integrals of arbitrary order. In other words, Fractional calculus explores integrals...
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Research Article10.9734/arjom/2019/v15i230144
This paper, investigates the comparison of the convergence behavior of the proposed scheme and existing schemes in literature. While all schemes having fourth-order convergence and derivative-free nature. Numerical approximation demonstrates that the proposed schemes are able to...
Open access
Research Article10.9734/arjom/2019/v15i230143