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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…
Chunhuan Xiang
(2 + 1) dimensional Boussinesq and Kadomtsev-Petviashvili equation are investigated by employing Jacobi elliptic function expansion method in this paper. As a result, some new forms traveling wave solutions of the equation are reported. Numerical simulation r…
Reza Habibi
This paper is concerned with the application of weighted least square method in change point analysis. Testing shift in the mean normal observations with time varying variances as well as of a GARCH time series are considered. For both cases, the weighted est…
Nikolay I. Sidnyaev, Kristina S. Andreytseva
A model adequacy test should be carried out on the basis of accurate aprioristic ideas about a class of adequate models, as in solving of practical problems this class is final. In article, the quadratic sums entering into the equation of the dispersive analy…
Elena A. Aksenova, Andrew V. Sokolov
This paper presents mathematical models and optimal algorithms of two FIFO-queues control in single-level memory. These models are designed as two-dimensional random walks on the integer lattice in a rectangular area for consecutive implementation and a trian…
Mehran Fatemi, Nihan Aliev, Sedaghat Shahmorad
In this paper, we prove an important existence and uniqueness theorem for a fractional order Fredholm – Volterra integro-differential equation with non-local and global boundary conditions by converting it to the corresponding well known Fredholm integral equ…
Beatriz De Otto-López
In this paper we analyze the anticompetitive effects of concentration of ownership in auction markets. We compare two different auction formats with uniform price. In the first, the price equals the highest accepted bid, whereas in the second the price equals…
Raja Ponraj, Jeyaraj Vijaya Xavier Parthipan
Let G be a (<i>p,q</i>) graph. An injective map <i>f</i>:<i>V</i>(<i>G</i>)→﹛±1,±2,...±<i>p</i>﹜is called a pair sum labeling if the induced edge function, <i>f<sub>e</sub></i>:<i>E</i>(<i>G</i>)→<i>Z</i>-﹛0﹜defined by <i>f<sub>e</sub></i>(uv)=<i>f</i>(<i>u</…
Suohai Fan, Hongjian Lai, Ju Zhou
For a graph <i>G</i>, let <i>b(G)</i>=max﹛|<i>D</i>|: Dis an edge cut of <i>G</i>﹜ . For graphs <i>G</i> and <i>H</i>, a map <i>Ψ</i>: <i>V(G)→V(H)</i> is a graph homomorphism if for each <i>e</i>=<i>uv∈E(G)</i>, <i>Ψ(u)Ψ(v)∈E(H)</i>. In 1979, Erdös proved by…
Huiying Wang
The optimality of a density estimation on Besov spaces <i>B<sup>s</sup><sub>r,q</sub>(R)</i> for the <i>L<sub>p</sub></i> risk was established by Donoho, Johnstone, Kerkyacharian and Picard (“Density estimation by wavelet thresholding,” The Annals of Statisti…
Ali Vahidian Kamyad, Mohammad Hadi Noori Skandari, Hamid Reza Erfanian
In this paper, we define a functional optimization problem corresponding to smooth functions which its optimal solution is first derivative of these functions in a domain. These functional optimization problems are applied for non-smooth functions which by so…
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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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