Volume 1, Number 1 (2004)

1. B. Mampassi, B. Saley and B. Somé - Solving Some Nonlinear Reaction-Diffusion EquationsUsing the New Adomian Decomposition Method
2. H. Kh. Abdullah and K. T. Al Dosary - The Oscillation of Linear First-Order Differential Systems
3. L. Ragoub - Principe du maximum et fonctions auxiliaires pour des problémes elliptiques
4. S. E. Rebiai - Boundary Stabilization of Schrodinger Equations with Variable Coefficients
5. P. P. Dey - n^th Root: A Monte Carlo Approximation

Volume 1, Number 2 (2004)

1. I. B. Risteski - Solution of Some Nonlinear Complex Vector Functional Equations
2. A. Diop and D. Guegan - Asymptotic Behavior for the Extreme Values of a Linear Regression Model
3. N. Aissaoui - Wolf Inequality in Strongly Nonlinear Potential Theory and Applications
4. K. Bahlali, M. Eddahbi, and E. H. Essaky - Quasi-Linear Parabolic SPDEs with Continuous Coefficients

Volume 2, Number 1 (2004)

1. H. Chen, X. Chen, and H. Zhang - Permanence and Almost Periodic Soultion for Non-Autonomous Ration- Dependent Multi-Species Competition Predator-Prey System
2. T. Kokou and N. I. Yurthuk - Classical Solution Weakened on the Axis to the Third Mixed Problem for the 3D Wave Equation with Central Symmetry in the Holder Spaces
3. J. Dhar - Modeling and Analysis: The effect of Industrialization on Diffusive Forestry Ressource Biomass in Closed Habitat
4. X. Zhang - Additive Preservers on Group Inverses of Matrices Over Fields of Characteristic Not 2

Volume 2, Number 2 (2004)

1. P. H. Bezandry - Limiting Law of the Fluctuation Processes Associated with the Systems of Randomly Interacting Particles with Collisions
2. A. El Arni - General KKM Theorem with Applications to Minimax Inequalities and Generalized Quasi-variational Inequalities
3. S. Al Ghour - SLH Fuzzy Spaces

Volume 3, Number 1 (2005)

1. P. N. Mwita - On Conditional Scale Function: Estimate and Asymptotic Properties
2. A. Rashid - Convergence of Spectral Method in Time for Benjamin-Bonna-Mahony Equation
3. M. Bezzarga and N. B. Rhouma - Potentials of Additive Functionals in Unstable Semidynamical Systems
4. X. Zhang - Linear Maps On Symmetric Matrix Spaces Preserving Inverses of Matrices
5. S. A. Venetiaan - Estimating Fisher Information of Location
6. A. Belahmidi - Solvability of a Coupled System Arising in Image and Signal Processing

Volume 3, Number 2 (2005)

1. A. M. Bijura - Transcendental Smallness in Singularly Perturbed Equations of Volterra Type
2. A. Ghanmi - Eigenprojector and Resolvent Kernels of the 2 D Pauli-Dirac Operator with Constant Magnetic Field
3. R. Goonatilake - On Method of Statistical Differentials
4. I. Bousrih - Families of Rational Functions Over Finite Fields and Construction of Optical Orthogonal Codes
5. C. Cao, L. Huang, and X. Tang - Additive Mapping Preserving Rank 2 of Alternate Matrices

Volume 4, Number 1

1. L. Noui - Une classe de groupes localement nilpotents
2. A. Senoussaoui - Opérateurs h-admissibles matriciels à symbole opérateur
3. N. Mahdou - On P-Coherent Rings
4. N. Midoune and L. Noui - Maximal Complexity of Trivectors
5. H. K. Nashine - Existence of Random Best Approximation For Noncommutative Maps
6. A. Rashid and L. Yuan - Legendre Pseudo Spectral Method For the Incompressible Navier-Stokes Equations on the Sphere
7. A. Tsemo - Non-Abelian Cohomology: The Point of View of Gerbed Tower

Volume 4, Number 2

1. T. A. Al-Hawary - A New Class of Matroids
2. J. D. Lawson and A. T. Lisan - Isotropy Groups and Group Topologies
3. S. Chaari and H. Ouerdiane - White Noise Analysis in the Poisson Space
4. R. P. Agarwal and S. Nadarajah - Skew Distributions I
5. M. Erraoui and Y. Ouknine - Une représentation non canonique du drap brownien
6. L. Honghai and L. Lanzhe - Sharp Function Estimates for Maximal Multilinear Commutator of Bochner-Riesz Operator

Special Issue - Volume 4, Number 3 (Advances in Mathematics)

Editors: T. Diagana, G. M. N'Guérékata, and S. Zarati

1. D. Bugajewska and D. O'Regan - Upper and Lower Solutions of Differential Equations via Approximate Derivatives and the Denjoy Integral
2. D. Bourguiba, S. Hammouda and S. Zarati - Profondeur et Cohomologie Équivariante
3. C. S. Gal, S. G. Gal, and G. M. N'Guérékata - Existence and Uniqueness of Almost Automorphic Mild Solutions to Semilinear Fuzzy Differential Equations
4. M. Erraoui and Y. Ouknine - Note on the Smoothness of the Law of Fractional Brownian Sheet
5. S. M. Einstein-Matthews and C. H. Lutterodt - Rational Approximants in a Polydisk versus a Ball in C^N
6. G. M. N'Guérékata - Almost Automorphic Solutions of Some Integrodifferential Equations in Fréchet Spaces
7. C. C. Kokonendji and D. Pommeret - Characterization of Multivariate Exponential Families with Polynomial Variance Function
8. C. C. Kokonendji and S. Marque - A Strict Arcsine Regression Model
9. M. Dammak, S. Hammouda, and S. Zarati - Depth and Group Actions
10. A. Jouini and K. Trimeche - Dunkl Wavelet Packets Associated With The Dunkl Operator On R
11. H. Mejjaoli and K. Trimeche - The Jacobi-Dunkl Transform of W-Spaces and Applications
12. T. Robart - Abstract Differential Groupoid - From Lie Pseudogroups of Finite Type To Infinite Ones

Volume 5, Number 1

1. E. Kengne - Nonlocal Boundary-Value Problem for Partial Differential Equations with Variable Coefficients
2. H. J. Kim - Contact Metrics and the Weinstein Conjecture
3. L. Oukhtite and S. Salhi - On Generalized Derivations of s-Prime Ring
4. A. Tsemo and I. Woungang - Quadratic Categories and Koszul Resolutions
5. A. J. Kinfack, A. Njifenjou, and J. Tagoudjeu - A Finite Volume Method For a Diffusion-Convection Problem: The Constant Velocity Case
6. N. H. Nashine and C. L. Dewangan - Existence Results on Best Proximity Pair For Multifunctions
7. Glória Cravo - Eigenvalues of Matrices with Prescribed Submatrices

Volume 5, Number 2

1. B. Mahaman - Submanifolds of the Unit Sphere
2. C. Wafo Soh - Collapse of a Void Spherical Bubble Immersed in a Non-Newtonian Fluid
3. K. E. Gneyou - Hazard Rate Prediction in Life Time data analysis
4. B. Diatta and S. M. Einstein-Matthews - Singular Reduction and Stratification of Quiver Variety
5. L. P. Castro and A. H. Kamel - Mathieu Function and Kontorovich-Lebedev Transforms in the L-Shaped Wave Scattering Problem

Volume 6, Number 1

1. H. Xu and L. Liu - Weighted Boundedness for Multilinear Singular Integral Operator with Variable Calderon-Zygmund Kernel
2. G. B. NDiaye - L'integration par rapport a une multimesure, monotone et s-compacte, a valeurs convexes fermées
3. M. Saidani, A. Lahmar-Benbernou, and S. Gala - Pseudo-Differential Operators and Commutators in Multiplier Spaces
4. K. Bahlali, A. Elouaflin, and M. N'zi - RBSDEs with Stochastic Monotone and Polynomial Growth Condition

Volume 6, Number 2

1. S. Hachicha - Solution of the Master Equation in the Generic Fock Case and Non-Fock Case and the Existence of Invariant State in M₂(C)
2. R. Guerbaz - Weak Approximation in Besov Spaces of Gaussian Sheets From Poisson Processes
3. M. Musa - A Note on Some Classes of Good Group Codes
4. H. Mabrouk - Maximal Function in Quantum Calculus
5. J.-B. Gatsinzi and R. Kwashira - String Homology of a Product of Spheres and the Witt Algebra
6. A. Najati - Approximation of G-Frames in Hilbert Spaces

Volume 7, Number 1

1. M. Erraoui and Y. Ouknine - On Identities in Law for Some Functionals of Lévy Processes
2. A. Diédhiou - Application of Large Deviation Principle and Homogenization to a Semilinear PDE
3. A. Dahmani and S. Rahmani - On the Rate of Convergence in the Central Limit Theorem for Martingale Difference Sequences of the Kiefer-Wolfowitz Algorithm
4. A. Fitouhi and A. Nemri - Distribution and Convolution Product in Quantum Calculus
5. B. Boufoussi and S. Hajji - Delayed Stochastic Evolution Equations of Jump Type: Existence and Uniqueness of Solutions
6. S. M. Einstein-Matthews and J. S. Fleming - Continuity and Differentiability Properties of Parameter-Dependent Solutions of the ∇_t^"-Equation

Volume 7, Number 2

1. T. K. Boni and D. Nabongo - Numerical Blow-up Solutions for Nonlinear Parabolic Equations
2. S. M. Einstein-Matthews and J. S. Fleming - Weighted Parameter Dependent Bergman Kernel, Bergman Projection and Fourier Integral Operators
3. H. Blandín and R. Díaz - Compositional Bernoulli Numbers
4. H. Diallo - Structure d'un drapeau Riemannien complet
5. H. K. Nashine - Invariant Approximation Results for Generalized (I, J)-Nonexpansive Mappings
6. A. M. Bijura - Nonlinear Singular Perturbation Problems of Fractional Orders

Volume 8, Number 1 (2009)

1. P. Ngom and A. P. Pambou, Bootstrapping P-Values of F-Divergence Tests, Afr. Diaspora J. Math. 8(2009), No. 1, pp. 1-15. (PDF)
2. X. Tao, R. Wei, and S. Zhang, Bounds for Some Littlewood-Paley Operators with Rough Variable Kernels, Afr. Diaspora J. Math. 8(2009), No. 1, pp. 16-27. (PDF)
3. Y. Mensah and V. S. K. Assiamoua, The Dual of the Fourier Algebra A₁(G,A), Afr. Diaspora J. Math. 8(2009), No. 1, pp. 28-34. (PDF)
4. D. Mozyrska and D. F. M. Torres, A Study of Diamond-Alpha Dynamic Equations on Regular Time Scales, Afr. Diaspora J. Math. 8(2009), No. 1, pp. 35-47. (PDF)
5. K. Bettaïeb, Sur les "pseuso-coefficients" des représentations elliptiques d'un groupe réductif p-adique, Afr. Diaspora J. Math. 8(2009), No. 1, pp. 48-53. (PDF)
6. G. S. Lo and S. T. Sall, The Asymptotic Theory of the Kakwani Class of Poverty Measures, Afr. Diaspora J. Math. 8(2009), No. 1, pp. 54-67. (PDF)
7. A. Aman, L^p-Solution of Generalized Backward Stochastic Differential Equations with Barrier, Afr. Diaspora J. Math. 8(2009), No. 1, pp. 68-80. (PDF)
8. A. Togbé, On the Positive Solutions of the Diophantine Equation x³ + by+4-xyz=0, Afr. Diaspora J. Math. 8(2009), No. 1, pp. 81-89. (PDF)
9. R. Diaz and E. Pariguan, Super, Quantum and Non-Commutative Species, Afr. Diaspora J. Math. 8(2009), No. 1, pp. 90-130. (PDF)

Volume 8, Number 2 (2009)

Guest Editors

1. B. Benahmed, A. Fares, B. de Malafosse, and A. Yassine, The Quasi-Newton Method and the Infinite Matrix Theory Applied to the Continued Fractions, Afr. Diaspora J. Math. 8(2009), No. 2, pp. 1-16. (PDF)
2. B. Ba et B. Mahaman, Notes sur les connexions, Afr. Diaspora J. Math. 8(2009), No. 2, pp. 17-28. (PDF)
3. P. N. Natarajan, Matrices of Type M in Non-Archimedean Analysis, Afr. Diaspora J. Math. 8(2009), No. 2, pp. 29-35. (PDF)
4. W. T. Sulaiman, General Inclusion Relations for Absolute Summability, Afr. Diaspora J. Math. 8(2009), No. 2, pp. 36-46. (PDF)
5. S. M. Einstein-Matthews, C. H. Lutterodt, and H. Seydi, Algebraic Approximation of Holomorphic Vector Bundles on Affine Complex Algebraic Varieties II, Afr. Diaspora J. Math. 8(2009), No. 2, pp. 47-54. (PDF)
6. T. L. Gill, F. Mensah, and W. W. Zachary, The Square-Root Equation, Afr. Diaspora J. Math. 8(2009), No. 2, pp. 55-62. (PDF)
7. B. Abdous and C. C. Kokonendji, Consistency and Asymptotic Normality for Discrete Associated-Kernel Estimator, Afr. Diaspora J. Math. 8(2009), No. 2, pp. 63-70. (PDF)
8. G. Failla and S. Giuffrida, On the Hankel Lines Variety H(1,m)⊆ G(1,m), Afr. Diaspora J. Math. 8(2009), No. 2, pp. 71-79. (PDF)
9. A. Rajan and F. Ramaroson, On the Values of Certain Lambert Series, Afr. Diaspora J. Math. 8(2009), No. 2, pp. 80-89. (PDF)
10. T. Diagana, Pseudo Almost Automorphic Solutions to Some Neutral Delay Integral Equations of Advanced Type, Afr. Diaspora J. Math. 8(2009), No. 2, pp. 90-99. (PDF)
11. E. Castillo and R. Diaz, Homology and Manifolds with Corners, Afr. Diaspora J. Math. 8(2009), No. 2, pp. 100-113. (PDF)
12. G. Restuccia and G. Rinaldo, Intersection Degree and Bipartite Graphs, Afr. Diaspora J. Math. 8(2009), No. 2, pp. 114-124. (PDF)
13. N. Hindman and D. Strauss, Homomorphisms on Compact Subsets of βS, Afr. Diaspora J. Math. 8(2009), No. 2, pp. 125-136. (PDF)
14. M. N. Hounkonnou and P. A. Dkengne, Variation of Parameters for n-Order Nonlinear Ordinary Differential Equations, Afr. Diaspora J. Math. 8(2009), No. 2, pp. 137-147. (PDF)
15. T. Benouaz, M. Bohner, and A. Chikhaoui On the Relationship Between the Optimal Derivative and Asymptotic Stability, Afr. Diaspora J. Math. 8(2009), No. 2, pp. 148-162. (PDF)
16. A. Banyaga, On the Class of the Transverse Divergence, Afr. Diaspora J. Math. 8(2009), No. 2, pp. 163-172. (PDF)
17. B. Diarra, Bounded Linear Operators on Ultrametric Hilbert Spaces, Afr. Diaspora J. Math. 8(2009), No. 2, pp. 173-181. (PDF)
18. E. Akin-Bohner and Z. Dŏslá, Recessive Solutions for Half-Linear Dynamic Equations, Afr. Diaspora J. Math. 8(2009), No. 2, pp. 182-195. (PDF)

Volume 9, Number 1 (2010)

1. A. Jhilal and N. Mahdou, On Strong n-Perfect and (n,d)-Perfect Rings, Afr. Diaspora J. Math. 9(2010), No. 1, pp. 1-7. (PDF)
2. J. Feuto, I. Fofana and K. Koua, Integrable Fractional Mean Functions on Spaces of Homogeneous Type, Afr. Diaspora J. Math. 9(2010), No. 1, pp. 8-30. (PDF)
3. G. Restuccia and R. Utano, Rees Algebras of Powers of Maximal Graded Ideals, Afr. Diaspora J. Math. 9(2010), No. 1, pp. 31-35. (PDF)
4. S. K. Narasimhamurthy and Latha kumari G. N., On a Hypersurface of a Special Finsler Space with a Metric α + β + β² / α, Afr. Diaspora J. Math. 9(2010), No. 1, pp. 36-44. (PDF)
5. R. Belfadli and Y. Ouknine, Some Functions Transforming Semimartingale into Semimartingale, Afr. Diaspora J. Math. 9(2010), No. 1, pp. 45-49. (PDF)
6. N. Hermas and S. Djebali, Existence de géodésiques d'un groupe de difféomorphismes muni d'une métrique de Sobolev, Afr. Diaspora J. Math. 9(2010), No. 1, pp. 50-63. (PDF)
7. C. L. Huang and Y. H. Guo, On m-Idempotents, Afr. Diaspora J. Math. 9(2010), No. 1, pp. 64-67. (PDF)
8. C. Zhu, Gevrey Regularity of Attractor for Ginzburg-Landau Equation, Afr. Diaspora J. Math. 9(2010), No. 1, pp. 68-75. (PDF)
9. Z. Han, T. Li, S. Sun and C. Zhang, On the Oscillation of Second-Order Neutral Delay Dynamic Equations, Afr. Diaspora J. Math. 9(2010), No. 1, pp. 76-86. (PDF)
10. M. Oudadess, C*-Bornological Algebras, Afr. Diaspora J. Math. 9(2010), No. 1, pp. 87-95. (PDF)
11. A. S. Diallo, Examples of Conformally 2-Nilpotent Osserman Manifolds of Signature (2,2)*, Afr. Diaspora J. Math. 9(2010), No. 1, pp. 96-103. (PDF)

Volume 9, Number 2 (2010)

The following papers were presented at the Geometry and Physics V Conference, then refereed and accepted for publication in a special issue of The African Diaspora Journal of Mathematics. For additional details on the conference, please contact Prof. Wade from Pennsylvania State University (e-mail: wade@math.psu.edu)


PREFACE

The fifth annual conference in Geometry and Physics was held, May 14-19, 2007 at the University Cheikh Anta Diop, Dakar, SENEGAL. The purpose of the Geometry and Physics Conference series (GAP) was to bring together researchers working on related aspects of topics in geometry and mathematical physics. It also aims at promoting exchange of ideas between young and senior researchers. The theme of the fifth meeting was: Interactions between Symplectic Geometry, Riemannian Geometry and the Theory of Lie Groups and Lie Algebras.

The conference covered broad topics in differential geometry and its interactions with areas of mathematical physics. There were six mini-courses and several short talks. The mini-courses ended by open problems and future research directions, which may encourage young researchers. The mini-courses were delivered by:

• Anton Alekseev (University of Geneva, Switzerland): Campbell-Hausdorff series and the Kashiwara-Vergne conjecture
• Augustin Banyaga (Penn State University, USA): Introduction to the geometry of Hamiltonian diffeomorphisms
• Jean-Paul Dufour (Université Montpellier 2, France): Poisson structures and problems concerning their singularities
• Tudor Ratiu (EPF Lausanne, Switzerland): Slice Theorem in infinite dimensions and hydrodynamics with circular symmetry
• Reyer Sjamaar (Cornell University, USA): Real symplectic geometry
• Pol Vanhaecke (Universit;é de Poitiers, France): Algebraic integrability

In addition, short talks were given by: Renée Odinette Abib (University of Rouen, France), Henrique Bursztyn (IMPA, Rio de Janeiro, Brazil), Marianty Ionel (University of Toledo, USA), Philippe Jouan (University of Rouen, France), Camille Laurent (University of Poitiers, France), Philippe Monnier (University Toulouse 3, France), Joana Nunes da Costa (University of Coimbra, Portugal), Adrian Ocneanu (Penn State University, USA) , Philippe Rukimbira (FIU, USA), Joel Tossa (IMSP, Benin), and Mamour Sankhé (UCAD, Dakar, Sénégal). The full conference schedule can be found here: GAP V. (Click here to read the full Preface).

1. P. Vanhaecke, Intégrabilité algébrique : une introduction. Afr. Diaspora J. Math. 9(2010), No. 2, pp. 1-16. (PDF)
2. H. Dathe, Sur les feuilletages tendus transversalement affines des 3-variétés fibrées sur S¹. Afr. Diaspora J. Math. 9(2010), No. 2, pp. 17-33. (PDF)
3. R. Sjamaar, Real Symplectic Geometry. Afr. Diaspora J. Math. 9(2010), No. 2, pp. 34-52. (PDF)
4. M. N. Boyom, The Cohomology of Koszul-Vinberg Algebra and Related Topics. Afr. Diaspora J. Math. 9(2010), No. 2, pp. 53-65. (PDF)
5. A. Banyaga, On Symplectomorphisms of the Symplectization of a Compact Contact Manifold. Afr. Diaspora J. Math. 9(2010), No. 2, pp. 66-73. (PDF)
6. J.-P. Dufour, Decomposability of a Poisson Tensor Could Be a Stable Phenomenon. Afr. Diaspora J. Math. 9(2010), No. 2, pp. 74-81. (PDF)
7. O.-R. Abib, Equivalence for Differential Equations. Afr. Diaspora J. Math. 9(2010), No. 2, pp. 82-97. (PDF)
8. P. Rukimbira, Volume and Energy of Reeb Vector Fields. Afr. Diaspora J. Math. 9(2010), No. 2, pp. 98-111. (PDF)
9. P. Jouan, Observabilité des systèmes linéaires sur les groupes de Lie. Afr. Diaspora J. Math. 9(2010), No. 2, pp. 112-119. (PDF)
10. A. Banyaga, Introduction to the Group of Symplectomorphisms. Afr. Diaspora J. Math. 9(2010), No. 2, pp. 120-138. (PDF)
11. A. Wade, Transverse Geometry and Generalized Complex Structures. Afr. Diaspora J. Math. 9(2010), No. 2, pp. 139-149. (PDF)

Volume 10, Number 1 (2010)

1. M. Chhiti and N. Mahdou, Homological Dimensions of the Amalgamated Duplication of a Ring Along a Pure Ideal. Afr. Diaspora J. Math. 10(2010), No. 1, pp. 1-6. (PDF)
2. A. Roukbi and A. Bakali, Groupes de Takiff généralisés associés à un groupe de Lie. Applications à SL₂ (R) . Afr. Diaspora J. Math. 10(2010), No. 1, pp. 7-17. (PDF)
3. A. P. Kazemi, On the Independent Domination Number of the Generalized Petersen Graphs. Afr. Diaspora J. Math. 10(2010), No. 1, pp. 18-22. (PDF)
4. C. Tadmon, Nonnegativity of the Solution of the Boltzmann Equation in a Curved Space-Time. Afr. Diaspora J. Math. 10(2010), No. 1, pp. 23-38. (PDF)