# Journal of Mathematics Research

2017 - 2017

From Canadian Center of Science and Education

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**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
*William Adamczak*
- Minimum Hellinger Distance Estimation of a Univariate GARCH Process pp. 80-94
*Roger Kadjo*, *Ouagnina Hili* and *Aubin N'dri*
- A Fuzzy-stochastic Approach for Binary Linear Programming under Uncertainties pp. 95-111
*Wei Peng* and *Rene V. Mayorga*