A collection of published articles from members of the Department of Mathematics at Kennesaw State University.
Visit the full list of Faculty Publications to view the work from other departments on campus.
Submissions from 2021
A topological degree theory for perturbed AG(S+)-operators and applications to nonlinear problems, Dhruba R. Adhikari, Teffera M. Asfaw, and Eric Stachura
Hopficity and duo rings, Ulrich Albrecht and Francisco Javier Santillán-Covarrubias
On Hardy-Littlewood-Pólya and Taikov type inequalities for multiple operators in Hilbert spaces, V. Babenko, Yu Babenko, N. Kriachko, and D. Skorokhodov
On asymptotically optimal cubatures for multidimensional Sobolev spaces, V. F. Babenko, Y. V. Babenko, and O. V. Kovalenko
On asymptotically optimal cubatures for multidimensional Sobolev spaces, V. F. Babenko, Y. V. Babenko, and O. V. Kovalenko
Monochromatic paths and cycles in 2-edge-coloured graphs with large minimum degree, József Balogh, Alexandr Kostochka, Mikhail Lavrov, and Xujun Liu
Monochromatic paths and cycles in 2-edge-coloured graphs with large minimum degree, József Balogh, Alexandr Kostochka, Mikhail Lavrov, and Xujun Liu
Lattices from graph associahedra and subalgebras of the Malvenuto–Reutenauer algebra, Emily Barnard and Thomas McConville
Lattices from graph associahedra and subalgebras of the Malvenuto–Reutenauer algebra, Emily Barnard and Thomas McConville
Lattice polytopes from schur and symmetric grothendieck polynomials, Margaret Bayer, Bennet Goeckner, Su Ji Hong, Tyrrell McAllister, McCabe Olsen, Casey Pinckney, Julianne Vega, and Martha Yip
Lattice polytopes from schur and symmetric grothendieck polynomials, Margaret Bayer, Bennet Goeckner, Su Ji Hong, Tyrrell McAllister, McCabe Olsen, Casey Pinckney, Julianne Vega, and Martha Yip
Improving teaching and learning: mathematics and science faculty reflections across time, Kadian M. Callahan
Improving teaching and learning: mathematics and science faculty reflections across time, Kadian M. Callahan
On the Critical Exponent for k-Primitive Sets, Tsz Ho Chan, Jared Duker Lichtman, and Carl Pomerance
On the Critical Exponent for k-Primitive Sets, Tsz Ho Chan, Jared Duker Lichtman, and Carl Pomerance
A positivity phenomenon in Elser's Gaussian-cluster percolation model, Galen Dorpalen-Barry, Cyrus Hettle, David C. Livingston, Jeremy L. Martin, George D. Nasr, Julianne Vega, and Hays Whitlatch
A positivity phenomenon in Elser's Gaussian-cluster percolation model, Galen Dorpalen-Barry, Cyrus Hettle, David C. Livingston, Jeremy L. Martin, George D. Nasr, Julianne Vega, and Hays Whitlatch
Zonotopes whose cellular strings are all coherent, Rob Edman, Pakawut Jiradilok, Gaku Liu, and Thomas McConville
Micropterons, nanopterons and solitary wave solutions to the diatomic Fermi–Pasta–Ulam–Tsingou problem, Timothy E. Faver and Hermen Jan Hupkes
A Variational Framework for a Second Order Discrete Boundary Value Problem with Mixed Periodic Boundary Conditions, John R. Graef, Lingju Kong, and Min Wang
Construction of finite tight frames via singular value decomposition, Jun Ji and Long Wang
Construction of finite tight frames via singular value decomposition, Jun Ji and Long Wang
Existence of positive solutions for a fractional compartment system, Lingju Kong and Min Wang
Existence of positive solutions for a fractional compartment system, Lingju Kong and Min Wang
Conditions for a bigraph to be super-cyclic, Alexandr Kostochka, Mikhail Lavrov, Ruth Luo, and Dara Zirlin
Conditions for a bigraph to be super-cyclic, Alexandr Kostochka, Mikhail Lavrov, Ruth Luo, and Dara Zirlin
Fractional model of stem cell population dynamics, S. Mashayekhi and S. Sedaghat
Traveling wave solutions for a cancer stem cell invasion model, Caleb Mayer and Eric Stachura
Determinantal formulas with major indices, Thomas McConville, Donald Robertson, and Clifford Smyth
Determinantal formulas with major indices, Thomas McConville, Donald Robertson, and Clifford Smyth
On a rank-unimodality conjecture of Morier-Genoud and Ovsienko, Thomas McConville, Bruce E. Sagan, and Clifford Smyth
Control and analysis of epilepsy waveforms in a disinhibition model of cortex network, Zhuan Shen, Zichen Deng, Lin Du, Honghui Zhang, Luyao Yan, and Pengcheng Xiao
Control and analysis of epilepsy waveforms in a disinhibition model of cortex network, Zhuan Shen, Zichen Deng, Lin Du, Honghui Zhang, Luyao Yan, and Pengcheng Xiao
Bound states and energy eigenvalues of a radial screened coulomb potential, E. Stachura and N. Hancock
Bound states and energy eigenvalues of a radial screened coulomb potential, E. Stachura and N. Hancock
Quantitative trace estimates for the Maxwell system in Lipschitz domains, Eric Stachura and Niklas Wellander
Using Strand Committees to Build Faculty Support for Departmental Change, Jennifer Vandenbussche, Lake Ritter, Kadian M. Callahan, and Erik E. Westlund
Using Strand Committees to Build Faculty Support for Departmental Change, Jennifer Vandenbussche, Lake Ritter, Kadian M. Callahan, and Erik E. Westlund
On the resilience of a fractional compartment model, Min Wang
On the resilience of a fractional compartment model, Min Wang
Submissions from 2020
Topological degree for quasibounded multivalued (S̃)+-perturbations of maximal monotone operators, Dhruba R. Adhikari
Boundedness results for commutators with BMO functions via weighted estimates: a comprehensive approach, Árpád Bényi, José María Martell, Kabe Moen, Eric Stachura, and Rodolfo H. Torres
Stability analysis of a fractional online social network model, John R. Graef, Lingju Kong, Andrew Ledoan, and Min Wang
The least-squares fit of highly oscillatory functions using Eta-based functions, S. Mashayekhi and L. Gr Ixaru
Submissions from 2019
Brosamler’s formula revisited and extensions, Lucian Beznea, Mihai N. Pascu, and Nicolae R. Pascu
CVA for Cliquet options under Heston model, Yaqin Feng, Min Wang, and Yuanqing Zhang
A fractional differential equation model forbike share systems, John R. Graef, Shen-Shyang Ho, Lingju Kong, and Min Wang
Stochastic ordering of Pólya random variables and monotonicity of the Bernstein–Stancu operator for a negative parameter, Florenţa Tripşa and Nicolae R. Pascu
Submissions from 2018
Maini's many contributions to mathematical enzyme kinetics: A review, Meghan A. Burke
An Optimal Control Model to Reduce and Eradicate Anthrax Disease in Herbivorous Animals, Ana-Maria Croicu
An Incentivized Early Remediation Program in Calculus I, Jennifer Vandenbussche, Lake Ritter, and Christina Scherrer
Submissions from 2017
Stechkin's problem for functions of a self-adjoint operator in a Hilbert space, Taikov-type inequalities and their applications, Vladyslav Babenko, Yuliya Babenko, and Nadiia Kriachko
Color-blind Index in Graphs of Very Low Degree, Jennifer Diemunsch, Nathan Graber, Lucas Kramer, Victor Larsen, Lauren M. Nelsen, Luke L. Nelsen, Devon Sigler, Derrick Stolee, and Charlie Suer
Submissions from 2016
Inequalities of Hardy-Littlewood-Polya Type for Functions of Operators and Their Applications, Vladyslav Babenko, Yuliya Babenko, and Nadiia Kriachko
Optimal Recovery of Integral Operators and its Applications, Vladyslav Babenko, Yuliya Babenko, Nataliya Parfinovych, and Dmytro Skorokhodov
A Mathematical Model of Endothelial Nitric Oxide Synthase Activation with Time Delay Exhibiting Hopf Bifurcation and Oscillations, L. R. Ritter, C. A. Chrestensen, and J. C. Salerno
Submissions from 2015
Kolmogorov's Problem for Completely and Multiply Monotone Functions and the Markov Moment Problem, Vladyslav Babenko, Yuliya Babenko, and Oleg Kovalenko
Short- and Long-Term Optimal Control of a Mathematical Model for HIV Infection of CD4+T Cells, Ana-Maria Croicu
Short- and Long-Term Optimal Control of a Mathematical Model for HIV Infection of Cells., Ana-Maria Croicu
A New Characterization of Fine Scale Diffusion on the Cell Membrane, Flor A. Espinoza and Stanly L. Steinberg
An Emergent Framework: Views of Mathematical Processes, Wendy B. Sanchez, Alyson E. Lischka, Kelly W. Edenfield, and Rebecca Gammill
Reflective Analysis as a Tool for Task Redesign: The Case of Prospective Elementary Teachers Solving and Posing Fraction Comparison Problems, Eva Thanheiser, Dana Olanoff, Amy Hillen, and Ziv Feldman
Submissions from 2014
Simultaneous Approximation of a Multivariate Function and its Derivatives by Multilinear Splines, Ryan Anderson, Yuliya Babenko, and Tetiana Leskevych
Exact Asymptotics of the Optimal Lp-error of Asymmetric Linear Spline Approximation, Vladyslav Babenko, Yuliya Babenko, Nataliya Parfinovych, and Dmytro Skorokhodov
Predictive Validity of a Training Protocol Using a Robotic Surgery Simulator, Patrick Culligan, Emil Gurshumov, Christa Lewis, Jennifer L. Priestley, Jodie Komar, and Charbel Salamon
Fibonacci Number of the Tadpole Graph, Joe DeMaio and John Jacobson
A 'Crying Wolf' Game of Interspecific Kleptoparasitic Mutualism, Antonio J. Golubski, Nathaniel S. O'Connell, Jesse A. Schwartz, and Sean F. Ellermeyer
Computing the Outer and Group Inverses Through Elementary Row Operations, Jun Ji
A New Method for Computing Moore-Penrose Inverse through Gauss-Jordan Elimination, Jun Ji and Xuzhou Chen
Prospective Cohort Study of Bowel Function After Robotic Sacrocolpopexy, Christina Lewis, Charbel Salamon, Jennifer L. Priestley, and Emil Gurushumov
Higher Protein Intake Improves Length, Not Weight, z Scores in Preterm Infants, Irene E. Olsen, Cheryl L. Harris, M. Louise Lawson, and Carol L. Berseth
Stent Graft Therapy for False Lumen Aneurysmal Degeneration in Established Type B Aortic Dissection (FADED) Results in Differential Volumetric Remodeling of the Thoracic versus Abdominal Aortic Segments, Jean Marie Ruddy, Paul Reisenman, Jennifer Priestley, and Luke P. Brewster
Sexual Function Before and 1 Year After Laparoscopic Sacrocolpopexy, Charbel G. Salamon, Christa M. Lewis, Jennifer L. Priestley, and Patrick J. Culligan
Submissions from 2013
Simultaneous Approximation of a Multivariate Function and its Derivatives by Multilinear Splines, Ryan Anderson, Yuliya Babenko, and Tetiana Leskevych
On the Lp-error of Approximation of Bivariate Functions by Harmonic Splines, Yuliya Babenko and Tatyana Leskevich
Stechkin's Problem for Differential Operators and Functionals of First and Second Orders, Yuliya Babenko and Dmitriy Skorokhodov
Prognostic Value of Patient-Reported Symptom Interference in Patients with Late-stage Lung Cancer, Bradley J. Barney, Xin Shelley Wang, Charles Lu, Zhongxing Liao, Valen E. Johnson, Charles S. Cleeland, and Tito R. Mendoza
Substance Abuse via Legally Prescribed Drugs: The Case of Vicodin in the United States, Wendy K. Caldwell, Benjamin Freedman, Luke Settles, Michael M. Thomas, Anarina Murillo, Erika Camacho, and Stephen Wirkus
Designed to Fail: The Medicare Auction for Durable Medical Equipment, Peter Cramton, Sean Ellermeyer, and Brett Katzman
Porcine Dermis Compared with Polypropylene Mesh for Laparoscopic Sacrocolpopexy: A Randomized Controlled Trial, Patrick J. Culligan, Charbel G. Salamon, Jennifer L. Priestley, and Amir Shariati
Proof Without Words: An Alternating Sum of Squares, Joseph DeMaio
Domination and Independence on a Triangular Honeycomb Chessboard., Joseph DeMaio and Hong Lien Tran
Students' Perceived Utility of Precision Taught Calculus, Rebecca-Anne Dibbs, David Glassmeyer, and Wafa Yacoub
A Data Generating Review That Bops, Twists and Pulls at Misconceptions, Kimberly Gardner
Uniqueness and Parameter Dependence of Positive Solutions of a Discrete Fourth-order Problem, John R. Graef, Lingju Kong, Min Wang, and Bo Yang
Exploring Mathematics Methods Courses and Impacts for Prospective Teachers, Signe Kastberg, Wendy B. Sanchez, Andrew Tyminski, Alyson Lischka, and Woong Lim
Multicenter Study of Pectus Excavatum, Final Report: Complications, Static/Exercise Pulmonary Function, and Anatomic Outcomes, Robert E. Kelly, Robert Mellins, Robert C. Shamberger, Karen K. Mitchell, M. Louise Lawson, Keith T. Oldham, Richard G. Azizkhan, Andre V. Hebra, Donald Huss, Michael J. Goretsky, Ronald J. Sharp, George W. Holcomb, Walton K. T. Shim, Stephen M. Megison, R. Lawrence Moss, Annie H. Fecteau, Paul M. Colombani, Dan Cooper, Tracy Bagli, and Amy Quinn
Phospholipid Scramblase-1-Induced Lipid Reorganization Regulates Compensatory Endocytosis in Neuroendocrine Cells, Stéphane Ory, Mara Ceridono, Fanny Momboisse, Sébastien Houy, Sylvette Chasserot-Golaz, Dimitri Heintz, Valérie Calco, Anna-Marie Haeberlé, Flor A. Espinoza, Peter J. Sims, Yannick Bailly, Marie-France Bader, and Stéphane Gasman
Flexible Bivariate Phase II Clinical Trial Design Incorporating Toxicity and Response on Different Schedules, Herman E. Ray and Shesh N. Rai
Prospective Study of an Ultra-lightweight Polypropylene Y Mesh for Robotic Sacrocolpopexy, Charbel Salamon, Christa Lewis, Jennifer L. Priestley, Emil Gurshumov, and Patrick Culligan
Open-Ended Questions and the Process Standards, Wendy B. Sanchez
A Krawiec-Szydlowski Model of Business Cycles with a Time Delay in Capital Stock, Xiaoqin P. Wu and Liancheng Wang
Submissions from 2012
The Kolmogorov and Stechkin Problems for Classes of Functions Whose Second Derivative Belongs to the Orlicz Space, Yuliya Babenko and Dmitry Skorokhodov
Robust Airfoil Optimization Using Maximum Expected Value and Expected Maximum Value Approaches, Ana-Maria Croicu, Mohammed Yousuff Hussaini, Antony Jameson, and Goetz Klopfer
Counting Triangles to Sum Squares, Joseph DeMaio
The Common Core and Inverse Functions, Kelly W. Edenfield
A Condensed Cramer’s Rule for the Minimum-norm Least-squares Solution of Linear Equations, Jun Ji
Gauss–Jordan Elimination Methods for the Moore–Penrose Inverse of a Matrix, Jun Ji
Eigenvalue Comparisons for a Class of Boundary Value Problems of Discrete Beam Equation, Jun Ji and Bo Yang
Linguistic Discrimination in Writing Assessment: How Raters React to African American “Errors,” ESL Errors, and Standard English Errors on a State-Mandated Writing Exam, David M. Johnson and Lewis VanBrackle