PUBLICATIONS : 2010
School of Mathematics
Category 3 : Published Conference Proceedings
1. Korostenski, M., Labuschagne, C.C.A., and Watson, B.A.
“Reverse martingales in Riesz spaces”,
Proceedings of the 18th International Workshop on Operator Theory and Applications (IWOTA
2007): Operator Theory: Advances and Applications, 195 (2010), 213-230.
Category 4 : DE Accredited Journals
1. Ahmad, A., Bokhari, A.H., Kara, A.H. and Zaman, F.D.
“A complete symmetry classification and reduction of some classes of the nonlinear (1-2) wave
equation”,
Quaestiones Mathematicae, 33 (2010), 75-94.
2. Alt, J.
“On quaternionic contact Fefferman spaces”,
Differential Geometry and its Applications, 28 (2010), 376-394.
3. Biswas, A. and Kara, A.H.
“1-Soliton solution and conservation laws of the generalized Dullin-Gottwald-Holm equation”,
Applied Mathematics and Computation, 217 (2010), 929-932.
4. Biswas, A. and Kara, A.H.
“1-Soliton solution and conservation laws for the Jaulent-Miodek equation with power law
nonlinearity”,
Applied Mathematics and Computation, 217 (2010), 944-948.
5. Biswas, A. and Kara, A.H.
“1-Soliton solution and conservation laws for nonlinear wave equation in semiconductors”,
Applied Mathematics and Computation, 217 (2010), 4289-4292.
6. Bokhari, A.H., Al Dweik, A.Y., Kara, A.H. and Zaman, F.D.
“A symmetry analysis of some classes of evolutionary nonlinear (2+1)-diffusion equations with
variable diffusivity”,
Nonlinear Dynamics, 62 (2010), 127-138.
7. Bokhari, A.H., Al-Dweik, A.Y., Zaman, F.D., Kara, A.H. and Mahomed, F.M.
“Generalization of the double reduction theory”,
Nonlinear Analysis: Real World Applications, 11 (2010), 3763-3769.
8. Currie, S. and Love, A.D.
“Transformations of difference equations I”,
Advances in Difference Equations, 2010 (2010), ID 947058, 22 pages.
9. Currie, S. and Love, A.D.
“Transformations of difference equations II”,
Advances in Difference Equations, 2010 (2010), ID 623508, 23 pages.
10. Ghomrasni, R. and Menoukeu Pamen, O.
“Decomposition of order statistics of semimartingales using local times”,
Stochastic Analysis and Applications, 28 (2010), 467-479.
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11. Grobbelaar-Van Dalsen, M.
“Uniform stability for the Timoshenko beam with tip load”,
Journal of Mathematical Analysis and Applications, 361, No. 2 (2010), 392-400.
12. Grobbelaar-Van Dalsen, M.
“Strong stabilization of a structural acoustic model, which incorporates shear and thermal effects in
the structural component”,
Mathematical Methods in the Applied Sciences, 33 (2010), 1433-1445.
13. Johnpillai, A.G., Kara, A.H. and Mahomed, F.M.
“Conservation laws of a nonlinear (1+1) wave equation”,
Nonlinear Analysis: Real World Applications, 11 (2010), 2237-2242.
14. Johnpillai, A.G., Kara, A.H. and Mahomed, F.M.
“Conservation laws of some non-variational perturbed PDE’s via a partial variational approach”,
International Journal of Modern Physics B, 24 (22) (2010), 4253-4267.
15. Kara, A.H.
“An analysis of the symmetries and conservation laws of the class of Zakharov-Kuznetsov
equations”,
Mathematical and Computational Applications, 15 (4) (2010), 658-664.
16. Korostenski, M. and Zelenyuk, Yu.
“Ramsey functions for symmetric subsets in compact groups”,
Quaestiones Mathematicae, 33 (2010), 161-169.
17. Love, A., Luyckx, S. and Sacks, N.
“Quantitative relationships between magnetic properties, microstructure and composition of WC-Co
alloys “,
Journal of Alloys and Compounds, 489 (2010), 465-468.
18. Morris, R. and Kara, A.H.
“New conservation laws of some third-order systems of pdes arising from higher-order multipliers”,
Applied Mathematics and Computation, 217 (2010), 2639-2643.
19. Narain, R. and Kara, A.H.
“The Noether conservation laws of some Vaidiya metrics”,
International Journal of Theoretical Physics, 49 (2010), 260-269.
20. Narain, R. and Kara, A.H.
“An analysis of the conservation laws for certain third-grade fluids”,
Nonlinear Analysis: Real World Applications, 11 (2010), 3236-3241.
21. Narain, R. and Kara, A.H.
“Conservation laws of high-order nonlinear PDEs and the variational conservation laws in the class
with mixed derivatives”,
Journal of Physics A: Mathematical and Theoretical, 43 (2010), 085205 17pp.
22. Narian, R. and Kara, A.H.
“On the redefinition of the variational and ‘partial’ variational conservation laws in a class of
nonlinear PDEs with mixed derivative”,
Mathematical and Computational Applications, 15 (4) (2010), 732-741.
23. Ndogmo, J.C.
“Group classification of a family of second-order differential equations”,
Journal of Mathematical Analysis and Applications, 364 (2010), 242-254.
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24. Potgieter, J.H. and Love. A.D.
“Die effek van statistiese analitiese metingsvariasies op aanlegkontroleparameters en koste in
sementvervaardiging – ‘n gevallestudie” The effect of statistical analytical measurement variations
on the plant control parameters and production costs in cement manufacturing – a case study.
South African Journal of Science and Technology, 29 (2) (2010), 66-76.
25. Toko, W. and Zelenyuk, Yu.
“Semiprincipal closed ideals of  S”,
Proceedings of the American Mathematical Society, 138 (6) (2010), 2217-2220.
Category 4A : Non-Accredited Journals
1. Bokhari, A.H, Kara, A.H., Abdulwahab, M. and Zaman, F.D.
“On generalized nonlinear Burgers’ equation”,
Journal of Partial Differential Equations, 23 (3) (2010), 281-289.
John Knopfmacher Centre for Applicable Analysis and
Number Theory
Category 3 : Published Conference Proceedings
1. Korostenski, M., Labuschagne, C.C.A. and Watson, B.A.
“Reverse martingales in Riesz spaces”,
Proceedings of the 18th International Workshop on Operator Theory and Applications (IWOTA
2007): Operator Theory: Advances and Applications, 195 (2010), 213-230.
2. Mansour, T. and Munagi, A.O.
“Enumeration of partitions by rises, levels and descents”. The Permutation Patterns 2007
Conference, 11-15 June 2007. London Mathematical Society Lecture Note Series, 376,
3. Munagi, A.O.
“Generalized alternating subsets with permutations”,
Congressus Numerantium, 201 (2010), 45-54.
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Category 4 : DE Accredited Journals
1. Archibald, M., Knopfmacher, A. and Mansour, T.
“Compositions and samples of geometric random variables with constrained multiplicities”,
Discrete Mathematics and Theoretical Computer Science (DMTCS), AN (2010), 449-460.
2. Binding, P.A., Browne, P.J. and Watson, B.A.
“Darboux transformations and the factorization of generalized Sturm-Liouville problems”,
Proceedings of the Royal Society of Edinburgh, 140A, (2010) 1-29.
3. Binding, P. and Möller, M.
“Negativity indices for definite and indefinite Sturm-Liouville problems”,
Mathematische Nachrichten, 283 (2) (2010), 180-192.
4. Bona, M. and Knopfmacher, A.
“On the probability that certain compositions have the same number of parts”,
Annals of Combinatorics, 14 (2010), 291-306.
5. Brennan, C. and Mavhungu, S.
“Peaks and valleys in Motzkin paths”,
Quaestiones Mathematicae, 33 (2010), 171-188.
6. Currie, S. and Love, A.D.
“Transformations of difference equations I”,
Advances in Difference Equations, (2010), ID 947058, 22 pages.
7. Currie, S. and Love, A.D.
“Transformations of difference equations II”,
Advances in Difference Equations, (2010), ID 623508, 23 pages.
8. Knopfmacher, A. and Mansour, T.
“Record statistics in integer compositions”,
Discrete Mathematics and Theoretical Computer Science (DMTCS) AK, (2009), 527-536.
9.
Knopfmacher, A., Mansour, T, Munagi, A. and Prodinger, H.
“Staircase words and Chebyshev polynomials”,
Applicable Analysis and Discrete Mathematics, 4 (2010), 81-95.
10. Knopfmacher, A., Mansour, T. and Wagner, S.
“Records in set partitions”,
Electronic Journal of Combinatorics, 17 (1) (2010), R109, 14 pages.
11. Korostenski, M. and Zelenyuk, Yu.
“Ramsey functions for symmetric subsets in compact Abelian groups”,
Quaestiones Mathematicae, 33 (2010), 161-169.
12. Labuschange, C.C.A. and Watson, B.A.
“Discrete stochastic integration in Riesz spaces”,
Positivity, 14 (2010), 859-875.
13. Li, N.Y., Mansour, T. and Munagi, A.O.
“Plane trees and reduction rules”,
Utilitas Mathematica, 81 (2010), 215-230.
14. Mansour, T. and Munagi, A.O.
“Block-connected set partitions”,
European Journal of Combinatorics, 31 (2010), 887-902.
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15. Möller, M. and Nthebe, T.M.J.
“On maximal domains for C-convex functions and convex extensions”,
Journal of Convex Analysis, 17 (2) (2010), 651-658.
16. Munagi, A.O.
“Alternating subsets and permutations”,
Rocky Mountain Journal of Mathematics, 40 (1) (2010), 1965-1977.
17. Ross, D. and Zelenyuk, Ye.

“Topological groups and P   -points”,
Topology and Its Applications, 157 , Issue16 (2010), 2467-2475.
18. Toko, W. and Zelenyuk, Yu.
“Semiprincipal closed ideals of  S”,
Proceedings of the American Mathematical Society, 138 (6) (2010), 2217-2220.
19. Versfeld, D.J.J., Ridley, J.N., Ferreira, H.C. and Helberg, A.S.J.
“On systemic generator matrices for Reed-Solomon Codes”,
IEEE Transactions on Information Theory, 56 (12) December, 2010, 6347-6353.
20. Versfeld, D.J.J., Vinck, A.J.H., Ridley, J.N. and Ferreira, H.C.
“Constructing coset codes with optimal same-symbol weight for detecting narrowband interference
in M-FSK systems”,
IEEE Transactions on Information Theory, 56 (6) June, 2010, 2549-2550.
21. Zelenyuk, Ye.
“Regular idempotents in  S”,
Transactions of the American Mathematical Society, 362 (6) (2010), 3183-3201.
Category 4A : Non-Accredited Journals
1. Knopfmacher, A. and Robbins, N.
“Some properties of cyclic compositions”,
The Fibonacci Quarterly, 48 (3) (2010), 249-255.
2. Munagi, A.O.
“Combinatorics of integer partitions in arithmetic progression”,
Integers: Electronic Journal of Combinatorial Number Theory, 10 (2010), 73-82.
3. Shonhiwa, T.
“On relatively prime sets counting functions”,
Integers, 10 (2010), 465-476.
4. Zelenyuk, Yu.
“The number of symmetric colorings of the quaternion group”,
Symmetry, 2 (2010), 69-75.
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