Publications in Mathematics

1-18 out of 18 publication(s)

Publication	Audience	Format	Latest Issue	Articles
Advances in Dynamical Systems and Applications	Academic	Magazine/Journal	Dec 1, 2011 Existence and uniqueness results for BVPs associated with nonlinear singular interface problems on time scales. Leader-following consensus problems with a time-varying leader under measurement noises. Nontrivial solutions for boundary value problems of nonlinear differential equation. On complex singularity analysis of holomorphic solutions of linear partial differential equations. Partial averaging of fuzzy differential equations with maxima. Robust exponential stability of neutral systems with nondifferentiable interval time-varying delays and polytopic uncertainties. The [L.sup.p]-version of the generalized Bohl-Perron principle for vector equations with infinite delay. One-dimensional Dirichlet [empty set]-Laplacian BVPs with first-order derivative dependence. Positive solutions of higher-order neutral dynamic equations on time scales. Generalized time scales.	63
Advances in Theoretical and Applied Mathematics	Academic	Magazine/Journal	May 1, 2007 On moment conditions for the Girsanov Theorem. Counting the number of Pythagorean triples in finite fields (1). Nondifferentiable multiobjective programming under type I semi-d-univexity. Some properties on generalizations of Lindelof spaces in bitopological space. Evolution equation associated with the power of the Gross Laplacian. Integral solutions of quartic Diophantine equation 2[x.sup.2][z.sup.2] = [y.sup.2]([x.sup.2] + [z.sup.2]). Relation between series and important means. Inclusion relations involving certain classes of p-valent meromorphic functions with positive coefficients based on a linear operator. Large deviations properties of solutions of nonlinear stochastic convolution equations.	9
Australian Mathematics Teacher	Academic	Magazine/Journal	Dec 15, 2012 Satellites you can see for homework. Constructing with non-standard bricks. Maths Facts, Fun, Tricks and Trivia. Learning and Doing Mathematics (2nd Edition). Leading Practice and Managing Change in the Mathematics Department: A Resource Book for Subject Leaders in Mathematics. Fibonacci's proposition two. Maths in the board room. Mathematics and numeracy--is there a difference? Mathematics and numeracy: has anything changed? Are we any clearer? Are we on track? Editorial.	356
Australian Primary Mathematics Classroom	Academic	Magazine/Journal	Dec 15, 2012 Using the Scaffolding Numeracy in the Middle Years assessment materials to support student learning: this article describes and illustrates how... Applying a framework for engagement with mathematics in the primary classroom: in this article, Catherine Attard explains the necessary foundations... Developing "algebraic thinking": two key ways to establish some early algebraic ideas in primary classrooms: we encourage readers to review this... From routine to rich: developing an algebraic reasoning task for a middle/upper primary class. What matters most when students and teachers use interactive whiteboards in mathematics classrooms? The team from Avondale College of Higher... Editorial.	222
Bulletin of Pure & Applied Sciences-Mathematics	Academic	Magazine/Journal	Jan 1, 2009 Parametric Newton's method. Five dimensional plane wave solutions in Bonnor and Schrodinger's unified field theory. [alpha] generalised star homeomorphisms. Forecasting paddy yield in Andhra Pradesh using season time series model. Markov chain analysis of rainfall data. On congruent numbers. Mathematical analysis of a 3-state repairable complex system with three types of failure including environmental effect under head-of-line repair... Extrapolated Newton's method. Reliability analysis of a standby redundant complex system with changing environment under head-of-line repair discipline. Cubic convergent extrapolated Newton's method. Monotone distances and fuzzy sequence spaces. Multidimensional-integral of several real variables. Ranking the efficiency performance of a selected set of States in India by DEA. Stochastic model for finding the first time failure due to cortisol measures of the patients with functional gastrointestinal disorders. Double convolution integral equation involving hypergeometric functions and general class of polynomials. Base change and the formal structure sheaves. Analysis of accident reduction factor using pavement marking in intersection and plain roads. Perfect fuzzy graphs. Some bounds on domination related parameters.	49
DMTCS Proceedings	Academic	Magazine/Journal	Jan 1, 2012 Product decomposition for surjective 2-block NCCA. NOCAS: a nonlinear Cellular Automata based stream cipher. Projective subdynamics and universal shifts. Conservation laws and invariant measures in surjective cellular automata. Orbits of the Bernoulli measure in single-transition asynchronous cellular automata. Selfsimilarity, simulation and spacetime symmetries. The structure of communication problems in cellular automata. Asymptotic distribution of entry times in a cellular automaton with annihilating particles. Bifurcations in Boolean networks. On the set of fixed points of the parallel symmetric sand pile model. A fixed point theorem for Boolean networks expressed in terms of forbidden subnetworks.	248
Electronic Transactions on Numerical Analysis	Academic	Magazine/Journal	Jan 1, 2012 On the minimization of a Tikhonov functional with a non-convex sparsity constraint. A multiparameter model for link analysis of citation graphs. Gradient descent for Tikhonov functionals with sparsity constraints: theory and numerical comparison of step size rules. Computation of the matrix pth root and its Frechet derivative by integrals. Integrating oscillatory functions in Matlab, II. A survey and comparison of contemporary algorithms for computing the matrix geometric mean. Locally supported eigenvectors of matrices associated with connected and unweighted power-law graphs. Fejer orthogonal polynomials and rational modification of a measure on the unit circle. Cascadic multigrid preconditioner for elliptic equations with jump coefficients. An iterative substructuring algorithm for a [C.sup.0] interior penalty method. Optimizing Runge-Kutta smoothers for unsteady flow problems. Conformal mapping of circular multiply connected domains onto slit domains. Variational ensemble Kalman filtering using limited memory BFGS. Improved predictor schemes for large systems of linear ODEs. A robust FEM-BEM minres solver for distributed multiharmonic eddy current optimal control problems in unbounded domains. Creating domain mappings. Spectral analysis of a block-triangular preconditioner for the Bidomain system in electrocardiology. Spectral deflation in Krylov solvers: a theory of coordinate space based methods. Estimations of the trace of powers of positive self-adjoint operators by extrapolation of the moments. Boundary element collocation method for solving the exterior Neumann problem for Helmholtz's equation in three dimensions. more	405
Focus on Learning Problems in Mathematics	Academic	Magazine/Journal	Jan 1, 2008 From an operational to a relational conception of the equal sign: third graders' developing algebraic thinking. A complex system analysis of practitioners' discourse about research. Teacher-developed mathematics performance assessments in the context of reform-based professional development. Kindergarten and first graders' knowledge of the number symbols: production and recognition.	80
Global Journal of Pure and Applied Mathematics	Academic	Magazine/Journal	Dec 1, 2010 Exact soliton-like solutions for the (3+1) dimensions Kadomtsev-Petviashvilli and Jimbo-Miwa equations by the extended tan and tanh methods. Majority domatic number-I. Multipliers for a tempered Boehmian space. Quantum algorithm for knapsack problem. On a class containing Noor integral operator. Optimal portfolio strategies and optimal utility of terminal wealth of an investor. Similarity solution for hydromagnetic forced convection flow of a non-Newtonian fluid along a non-isothermal wedge with thermal radiation and viscous... Solutions to two open questions on super Niven numbers. Semi-slant submanifolds of Kaehler product manifolds. On the relative homology of Runge pairs of Stein spaces. Products of differentiation and composition from hardy spaces to Zygmund-type spaces of analytic functions on the upper half-plane. Bifurcations in a delayed predator-prey model with nonmonotonic functional response. An elementary proof of the Mersenne primes conjecture and the connection with the Goldbach conjecture. Ordering comparison of zero-truncated poisson random variables with their mixtures. On generalized q-Bernstein polynomials. On Abel-Grassmann's groupoids defined by vector spaces.	111
Image Analysis and Stereology	Academic	Magazine/Journal	Nov 1, 2010 Imaging of fluorophores in chromatographic beads, reconstruction of radial density distributions and characterisation of protein uptaking processes. Content-based autofocusing in automated microscopy. Semantic image analysis using a symbolic neural architecture. New mean values for homogeneous spatial tessellations that are stable under iteration. Inhomogeneity in spatial Cox point processes--location dependent thinning is not the only option.	79
International Journal of Computational and Applied Mathematics	Academic	Magazine/Journal	Jul 1, 2012 Finite element model to study calcium diffusion with excess buffer approximation in fibroblasts cell. Almost sure convergence of random Fourier-Stieltjes series. Strongly multiplicative labeling in the context of some graph operations. Computing matrix inverses by divide-and-conquer method with floating point calculations. On the law of large numbers for trigonometric series. Flow of a non-Newtonian fluid through porous medium with variable suction. Numerical solution for Fredholm integral equation with a generalized singular kernel. A study of the strong topologies on finite dimensional probabilistic normed spaces. Orthogonalities in Banach spaces via best approximation. Numerical solution of nonlinear Volterra-Fredholm integral equation with applications in torsion problems. Operational readiness of a P.S. redundant system with three types of failure and waiting concept.	165
International Journal of Difference Equations	Academic	Magazine/Journal	Jun 1, 2011 The square roots of 2x2 invertible matrices. Toplogical properties of inverse semigroups. Graphical SAC analysis of [S.sub.8] APA S-box. A mathematical approach to one dimensional Burgers' equation. An integral operator and its application on certain classes of analytic functions. Duality for non smooth multiobjective fractional programming under generalized V-p-invexity. On quasi sg-open and quasi sg-closed functions. Global existence of generalized solution to semi linear wave equation with nonlinear second order boundary damping.	44
Journal of Advanced Mathematical Studies	Academic	Magazine/Journal	Jul 1, 2012 Erratum to "Suzuki contraction theorem on a 2-metric space". Optimality conditions and duality in minmax fractional programming, part I: necessary and sufficient optimality conditions. Uniform polynomial trichotomy of evolution operators in Banach spaces. A fixed point theorem of integral type. Geometry of quasi-sum production functions with constant elasticity of substitution property. Introducing a nonlinear connection in a Lagrangian supermechanical system. Coincidence and fixed points of weakly contractive maps. A generalization of Banach contraction principle in ordered cone metric spaces. Fixed point theorems for occasionally weakly compatible expansive mappings. Fixed and stationary points of generalized weak contractions. A decision functional for multitime controllability. Coincidence point and fixed point theorems in ordered cone metric spaces. Semillatice-ordered semigroups with apartness representation problem. Some iterative algorithms for solving mixed variational inequalities.	114
Journal of Computers in Mathematics and Science Teaching	Academic	Magazine/Journal	Dec 22, 2006 The impact of virtual manipulatives on first grade geometry instruction and learning. Computer use and mathematical literacy: an analysis of existing and potential relationships. Introducing nondeterminism. Technology as a medium for elementary preteachers' problem-posing experience in mathematics.	118
Mathematical Modeling and Analysis	Academic	Magazine/Journal	Apr 1, 2013 Implementation of explicit Nordsieck methods with inherent quadratic stability. Convergence of the finite volume method for a conductive-radiative heat transfer problem. A Galerkin finite element method to solve fractional diffusion and fractional diffusion-wave equations. Quadratic/linear rational spline interpolation. Mathematical models to estimate the mass of leaf and sketch the shape of tree. On the properties of a class of polyharmonic functions. Growth models with oblique asymptote. The regions of solvability for some three point problem. On solvability of boundary value problem for asymmetric differential equation depending on x'. On well posed impulsive boundary value problems for p(t)-Laplacian's.	199
Mathematics community	General		Nov 10, 2011 Percentage Calculator ? A Useful Tool	36
Science Weekly	Children's--Lower elementary	Magazine/Journal	Dec 5, 2012 Estuaries.	406
Tamsui Oxford Journal of Mathematical Sciences	Professional	Magazine/Journal	Dec 15, 2010 Extension of homogeneous function. t-path sigraphs. On a certain Fredholm type sum-difference equation. Extended Cesaro operators from mixed norm spaces to Zygmund type spaces. Some new Ostrowski-Gruss type inequalities with two mappings and applications. A theorem connecting the H-transform and fractional integral operators involving the multivariable H-function. Growth of entire harmonic functions in [R.sup.n], n [greater than or equal to] 2. A new hybrid censoring scheme and some of its properties. Classes of analytic functions of complex order involving a Family of generalized differential operators. Some Applications of the q-Mellin Transform. Fourth order methods for finding multiple as well as distinct zeros of non-linear equations. An analytical scheme for multi-order fractional differential equations. Paley-Wiener theorem for the [q.sup.2]-Fourier-Rubin transform. Qualitative properties of solutions of certain Volterra type difference equations. Notes on two inequalities for random variables whose probability density functions are bounded. On the annihilators of derivations with engel conditions in prime rings. Roe's theorem associated with a Dunkl type differential-difference operator on the real line. Non-Archimedean stability of the monomial functional equations. On quasi-conformally flat almost pseudo Ricci symmetric manifolds. Geometric properties of Randers and other changes of Rizza manifolds. more	138

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Publications in Mathematics