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Applied Mathematics (AM) is an international journal dedicated to the latest advancements in applied mathematics. The goal of this journal is to provide a platform for scientists and academicians all over the world to promote, share, and discuss various new issues and developments in different areas of applied mathema…
Gooty Divanji, Kokkada Vidyalaxmi
Let {X<sub>n</sub>, n ≥ 1} be a sequence of independent and identically distributed positive valued random variables with a common distribution function F. When F belongs to the domain of partial attraction of a semi stable law with index α, 0 < α < 1, an asy…
Fawzy Bukhari
This paper studied a continuous-time model of a production maintenance system in which a manufacturing firm produces a single product selling some and stocking the remaining. The problem of adaptive control of a production-maintenance system with unknown dete…
Kanichukattu Korakutty Jose, Bindu Abraham
In this paper we consider the arrival process of a multiserver queue governed by a discrete autoregressive process of order 1 [DAR(1)] with Quasi-Negative Binomial Distribution-II as the marginal distribution. This discrete time multiserver queueing system wi…
Jaya Prakash Narayan Bishwal
Consistency and asymptotic normality of the sieve estimator and an approximate maximum likelihood estimator of the drift coefficient of an interacting particles of diffusions are studied. For the sieve estimator, observations are taken on a fixed time interva…
Haiyin Li
The main purpose of this article is considering the persistence non-autonomous Lotka-Volterra system with predator-prey ratio-dependence and density dependence. We get the sufficient conditions of persistence of system, further have the necessary conditions,…
Govindhan Varadharajan, Lakshmanan Rajendran
A closed form of an analytical expression of concentration in the single-enzyme, single-substrate system for the full range of enzyme activities has been derived. The time dependent analytical solution for substrate, enzyme-substrate complex and product conce…
Zhengce Zhang, Yanyan Li
We study the porous medium equation <i>u<sub>t</sub></i>=(<i>u<sup>m</sup></i>). 0＜<i>x</i>＜∞, <i>t</i>＞0 with a singular boundary condition (<i>u<sup>m</sup></i>) (0,<i>t</i>)=<i>u<sup>-β</i></sup>(0,<i>t</i>). We prove finite time quenching for the solution…
Baljeet Singh, Jyoti Arora
The governing equations of a transversely isotropic dissipative medium are solved analytically to obtain the speeds of plane waves. The appropriate solutions satisfy the required boundary conditions at the stress-free surface to obtain the expressions of the…
Huzoor H. Khan, Rifaqat Ali
In this paper we have generalized some results of Rahman [1] by considering the maximum of |<i>f(z)</i>| over a certain lemniscate instead of considering the maximum of|<i>f(z)</i>|, for |<i>z</i>|=<i>r</i> and obtain the analogous results for the entire func…
Hao Fan, Zhibin Zhu, Anwa Zhou
In this paper, a new nonlinear conjugate gradient method is proposed for large-scale unconstrained optimization. The sufficient descent property holds without any line searches. We use some steplength technique which ensures the Zoutendijk condition to be hel…
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Applied Mathematics (AM) is an international journal dedicated to the latest advancements in applied mathematics. The goal of this journal is to provide a platform for scientists and academicians all over the world to promote, share, and discuss various new issues and developments in different areas of applied mathema… All articles are open access under a CC BY 4.0 licence, with authors retaining copyright.
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