# Journal of Mathematics Research

2017 - 2017

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Volume 9, issue 5, 2017

A Study on the Minimum and Maximum Sum of C2 Problem in IMO2014 pp. 1-17
Erick Ceasar Huang, Sharon Sherry Huang and Cheng-Hua Tsai
New Model for Solving Mixed Integral Equation of the First Kind with Generalized Potential Kernel pp. 18-29
Shareefa Eisa Ali Alhazmi
The Separable Complementation Property and Mr¨®wka Compacta pp. 30-36
Jesus Ferrer
K-loop Structures Raised by the Direct Limits of Pseudo Unitary $U(p, a_{n})$ and Pseudo Orthogonal $O(p, a_{n})$ Groups pp. 37-45
Alper Bulut
Existence of Solutions for Functional Integral Equation Involving the Henstock-Kurzweil-Stieltjes Integral pp. 46-53
Hui Mei, Guoju Ye, Wei Liu and Yanrong Chen
Sign of Permutation Induced by Nagata Automorphism over Finite Fields pp. 54-60
Keisuke Hakuta and Tsuyoshi Takagi
Some More New Properties of Consecutive Odd Numbers pp. 61-70
Xingbo Wang
Angular Vectors in the Theory of Vectors pp. 71-86
Yevhen Kharchenko
On the Interval Controllability of Fractional Systems with Control Delay pp. 87-96
Jiang Wei
On S-quasi-Dedekind Modules pp. 97-107
Abdoul Djibril Diallo, Papa Cheikhou Diop and Mamadou Barry
Tripled Coincidence Point Results for $(\psi,\varphi)$-weakly Contractive Mappings in Partially Ordered S-matric Spaces pp. 108-125
Abdolsattar Gholidahneh, and Shaban Sedghi
Exact Solitary Wave Solutions for the Generalized Schamel Korteweg¨CDe Vries Equation pp. 126-132
N. O. Al Atawi
L\'{e}vy Process, Proportional Transaction Costs and Foreign Exchange pp. 133-141
Obonye Doctor, Elias R. Offen and Edward M. Lungu

Volume 9, issue 4, 2017

Solving Liouville-type Problems on Manifolds with Poincar\'{e}-Sobolev Inequality by Broadening $q$-Energy from Finite to Infinite pp. 1-10
Lina Wu
Some Remarks on the Stability Condition of Numerical Scheme of the KdV-type Equation pp. 11-22
Chun-Te Lee, Jeng-Eng Lin, Chun-Che Lee and Mei-Li Liu
Sign of Permutations Induced by Anick and Nagata-Anick Automorphisms over Finite Fields pp. 23-29
Keisuke Hakuta
Dissipative Numerical Method for a Flexible Euler-Bernoulli Beam with a Force Control in Rotation and Velocity Rotation pp. 30-48
Bomisso G. Jean Marc, Tour\'{e} K. Augustin and Yoro Gozo
The original problem that serves as a basis for this project comes from an American contest (PUMaC, 2014) regarding the maximum amount of enclosed spaces given a limited number of cuts on an infinite plane. In this study, we explore the same problem and extend it in the context of m dimensions given n (m-1) dimensional cuts using the recursive relationship of finite cuts and enclosed spaces in lower dimensions. Once the general formula of f(m,n)?was proven for dimensions, an Euler¡¯s inspired formula was used to check the accuracy of the formula in two and three dimensions. The Euler¡¯s formula also allowed us to derive the formula for the maximum number of unenclosed spaces in three-dimensional F(3, n). The results are as follows pp. 49-68
Erick C. Huang, Sharon S. Huang and Cheng-Hua Tsai
Cone Avoidance of Some Turing Degrees pp. 69-77
Patrizio Cintioli
Modeling and Numerical Simulation of Sand Dunes Formation pp. 78-86
GANDA Rabi Hassane, Haoua Hamidou and Bisso Saley
The Convergence of Calder¨®n Reproducing Formulae of Two Parameters in $L^p$, in $\mathscr S$ and in $\mathscr S'$ pp. 87-100
Jiang-Wei Huang and Kunchuan Wang
A Mathematical Model for the Vector Transmission and Control of Banana Xanthomonas Wilt pp. 101-113
Kweyunga Eliab Horub and Tumwiine Julius
Analysis of Compression Ratio of Various Randomly Generated Images of Same Size pp. 114-123
Tanvir Prince
On the Existence of Global Weak Solutions to 1D Pollutant Transport Model pp. 124-134
Brahima Roamba, Jean de Dieu ZABSONRE and Yacouba Zongo
Transmuted Mukherjee-Islam Distribution: A Generalization of Mukherjee-Islam Distribution pp. 135-144
Loai M. A. Al-Zou'bi
The Global and Exponential Attractors for the Higher-order \\[6pt] Kirchhoff-type Equation with Strong Linear Damping pp. 145-167
Guoguang Lin and Yunlong Gao
Minimum Principle-Type Necessary Optimality Conditions in Scalar and Vector Optimization. An Account pp. 168-184
Giorgio Giorgi
Existence Conditions of Super-Replication Cost in a Multinomial Model pp. 185-195
Mei Xing
On $FGDF$-modules pp. 196-199
Alhousseynou Ba, Sidy Demba Tour\'e and Oumar Diankha
The First Hochschild Cohomology of Square Algebras With it's Stability pp. 200-208
Feysal Hassani and Negin Salehi Oroozaki
On Theory of logarithmic Poisson Cohomology pp. 209-230
Joseph Dongho, Alphonse Mbah and Shuntah Roland Yotcha
Logarithmic Differential Operators and Prequantization of Logsymplectic Poisson Structure pp. 231-248
Joseph Dongho

Volume 9, issue 3, 2017

Nonexistence of Nontrivial Stationary Solutions with Decay Order for Some Nonlinear Evolution Equations pp. 1-7
Jeng-Eng Lin
Quadratic form Approach for the Number of Zeros of Homogeneous Linear Recurring Sequences over Finite Fields pp. 8-13
Yasanthi Kottegoda
Convergence Analysis for Mixed Finite Element Method of Positive Semi-definite Problems pp. 14-22
Yirang Yuan and Changfeng Li
An Addendum on Postoptimality of Maximally Reliable Path pp. 23-29
Ahmad Hosseini and Bita Kabir Baiki
Modeling and Resolution of the Allocation Problem of the Time Slots in Dakar Airport pp. 30-37
Youssouf Ahamada, Salimata G. Diagne, Amadou Coulibaly, D\'ethi\'e Dione, N'dogotar N閘io and Youssou Gningue
The [a,b]-domination and [a,b]-total Domination of Graphs pp. 38-45
Xiujun Zhang, Zehui Shao and Hong Yang
Symmetric Boundary Condition for Laplacian on Net of Regular Hexagons pp. 46-67
Daniel Lee
On the Existence of Poncelet-Morley Points in Euclidean Geometry pp. 68-74
Joseph Dongho, Nguimbous F. L. and Teyou M. R.
A Note on the Structure of Roller Coaster Permutations pp. 75-79