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Submissions from 2020

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Parameter Identification for Gompertz and Logistic Dynamic Equations, Elvan Akin, Neslihan Nesliye Pelen, Ismail Ugur Tiryaki, and Fusun Yalcin

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Separated and State-Constrained Separated Linear Programming Problems on Time Scales, Rasheed Al-Salih and Martin Bohner

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Scattering Below the Ground State for the 2d Radial Nonlinear Schrödinger Equation, Anudeep Kumar Arora, Benjamin Dodson, and Jason Murphy

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Binary Metrics, Samer Assaf, Tom Cuchta, and Matt Insall

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Deformation and Coalescence of Ferrodroplets in Rosensweig Model using the Phase Field and Modified Level Set Approaches under Uniform Magnetic Fields, Feng Bai, Daozhi Han, Xiaoming He, and Xiaofeng Yang

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Gehring Inequalities on Time Scales, Martin Bohner and S. H. Saker

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Almost Periodic Solutions of Cohen-Grossberg Neural Networks with Time-Varying Delay and Variable Impulsive Perturbations, Martin Bohner, Gani Tr. Stamov, and Ivanka M. Stamova

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An Integrable SIS Model on Time Scales, Martin Bohner and Sabrina Streipert

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A Minimal Congruence Lattice Representation for 𝕄ₚ₊₁, Roger Bunn, David E. Grow, Matt Insall, and Philip Thiem

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Caputo Fractional Continuous Cobweb Models, Churong Chen, Martin Bohner, and Baoguo Jia

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On the Nonlinear Stability and the Existence of Selective Decay States of 3D Quasi-Geostrophic Potential Vorticity Equation, Ogul Esen, Daozhi Han, Taylan Sengul, and Quan Wang

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Error Analysis of an Incremental Proper Orthogonal Decomposition Algorithm for PDE Simulation Data, Hiba Fareed and John R. Singler

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A Second Order, Linear, Unconditionally Stable, Crank-Nicolson-Leapfrog Scheme for Phase Field Models of Two-Phase Incompressible Flows, Daozhi Han and Nan Jiang

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An Artificial Compressibility Ensemble Algorithm for a Stochastic Stokes-Darcy Model with Random Hydraulic Conductivity and Interface Conditions, Xiaoming He, Nan Jiang, and Changxin Qiu

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A Superconvergent Hybridizable Discontinuous Galerkin Method for Dirichlet Boundary Control of Elliptic PDEs, Weiwei Hu, Jiguang Shen, John R. Singler, Yangwen Zhang, and Xiaobo Zheng

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Invariance of White Noise for KdV on the Line, Rowan Killip, Jason Murphy, and Monica Visan

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Direct Error Driven Learning for Classification in Applications Generating Big-Data, R. Krishnan, Jagannathan Sarangapani, and V. A. Samaranayake

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Discontinuous Finite Volume Element Method for a Coupled Navier-Stokes-Cahn-Hilliard Phase Field Model, Rui Li, Yali Gao, Jie Chen, Li Zhang, Xiaoming He, and Zhangxin Chen

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Three-Dimensional Immersed Finite-Element Method for Anisotropic Magnetostatic/Electrostatic Interface Problems with Nonhomogeneous Flux Jump, Chang Lu, Zhi Yang, Jinwei Bai, Yong Cao, and Xiaoming He

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Impulsive Synchronization of Time-Scales Complex Networks with Time-Varying Topology, Yong Pei, Martin Bohner, and Dechang Pi

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A Domain Decomposition Method for the Time-Dependent Navier-Stokes-Darcy Model with Beavers-Joseph Interface Condition and Defective Boundary Condition, Changxin Qiu, Xiaoming He, Jian Li, and Yanping Lin

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Handling missing data for unsupervised learning with an application on a FITBIR Traumatic Brain Injury (TBI) Dataset, Louis Steinmeister, Dacosta Yeboah, Gayla Olbricht, Tayo Obafemi-Ajayi, Bassam Hadi, Daniel Hier, and Donald C. Wunsch

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A General Class of Additive Semiparametric Models for Recurrent Event Data, Russell Stocker and Akim Adekpedjou

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Fully Decoupled, Linear and Unconditionally Energy Stable Time Discretization Scheme for Solving the Magneto-Hydrodynamic Equations, Guo-Dong Zhang, Xiaoming He, and Xiaofeng Yang

Submissions from 2019

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Existence of Unique Solutions to the Telegraph Equation in Binary Reproducing Kernel Hilbert Spaces, Ali Akgul and David E. Grow

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Control of Wheeled Mobile Robots on Time Scales, Elvan Akin, Haci Guzey, and Ozkan Ozturk

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On Nonoscillatory Solutions of Three Dimensional Time-Scale Systems, Elvan Akin, Taher Hassan, Ozkan Ozturk, and Ismail U. Tiryaki

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On Volterra-Integro Dynamical Systems On Time Scales, Elvan Akin and Ozkan Ozturk

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Computational Learning Approaches to Data Analytics in Biomedical Applications, First Edition, Khalid Al-Jabery, Tayo Obafemi-Ajayi, Gayla Olbricht, and Donald C. Wunsch

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Coupled and Decoupled Stabilized Mixed Finite Element Methods for Nonstationary Dual-Porosity-Stokes Fluid Flow Model, Md. Abdullah Al Mahbub, Xiaoming He, Nasrin Jahan Nasu, Changxin Qiu, and Haibiao Zheng

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Robustness of Finite-Time Distributed Control Algorithm with Time Transformation, Ehsan Arabi, Tansel Yucelen, and John R. Singler

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Balanced Truncation Model Reduction of a Nonlinear Cable-Mass PDE System with Interior Damping, Belinda A. Batten, Hesam Shooriy, John R. Singler, and Madhuka H. Weerasinghe

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Existence of at Least One Homoclinic Solution for a Nonlinear Second-Order Difference Equation, Martin Bohner, Giuseppe Caristi, Shapour Heidarkhani, and Shahin Moradi

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Spectral Analysis of an Impulsive Quantum Difference Operator, Martin Bohner and Serifenur Cebesoy

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Periodic Solutions of Linear, Riccati, and Abel Dynamic Equations, Martin Bohner, Armengol Gasull, and Claudia Valls

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Asymptotic Behavior of Solutions of Forced Third-Order Dynamic Equations, Martin Bohner, Said R. Grace, and Irena Jadlovska

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Dynamic Cobweb Models with Conformable Fractional Derivatives, Martin Bohner and Veysel Fuat Hatipoglu

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Exact Solution to a Dynamic SIR Model, Martin Bohner, Sabrina H. Streipert, and Delfim F. M. Torres

Oscillation Criteria for Second-Order Differential Equations with Superlinear Neutral Term, Martin Bohner, B. Sudha, K. Tangavelu, and E. Thandapani

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An Old Task in New Clothes: A Preregistered Direct Replication Attempt of Enclothed Cognition Effects on Stroop Performance, Devin Michael Burns, Elizabeth L. Fox, Michael Greenstein, Gayla R. Olbricht, and DeMaris Montgomery

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Extremal Solutions of Multi-Valued Variational Inequalities in Plane Exterior Domains, Siegfried Carl and Vy Khoi Le

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Hyperspaces of Generalized Continua which Are Infinite Cylinders, W. J. Charatonik, Tomas Fernandez-Bayort, and Antonio Quintero

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Local Connectedness of Inverse Limits, W. J. Charatonik and Faruq A. Mena

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Method of Upper and Lower Solutions for Nonlinear Caputo Fractional Difference Equations and its Applications, Churong Chen, Martin Bohner, and Baoguo Jia

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Ulam-Hyers Stability of Caputo Fractional Difference Equations, Churong Chen, Martin Bohner, and Baoguo Jia

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Superconvergent Interpolatory HDG Methods for Reaction Diffusion Equations I: An HDG K Method, Gang Chen, Bernardo Cockburn, John R. Singler, and Yangwen Zhang

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A Class of Embedded DG Methods for Dirichlet Boundary Control of Convection Diffusion PDEs, Gang Chen, Guosheng Fu, John R. Singler, and Yangwen Zhang

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Interpolatory HDG Method for Parabolic Semilinear PDEs, Bernardo Cockburn, John R. Singler, and Yangwen Zhang

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A Dynamic Matrix Exponential Via a Matrix Cylinder Transformation, Tom Cuchta, David E. Grow, and Nick Wintz

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A Comparative Study on Nonlocal Diffusion Operators Related to the Fractional Laplacian, Siwei Duo, Hong Wang, and Yanzhi Zhang

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Accurate Numerical Methods for Two and Three Dimensional Integral Fractional Laplacian with Applications, Siwei Duo and Yanzhi Zhang

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Numerical Approximations for the Tempered Fractional Laplacian: Error Analysis and Applications, Siwei Duo and Yanzhi Zhang

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A Note on Incremental POD Algorithms for Continuous Time Data, Hiba Fareed and John R. Singler

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On Corrected Phase-Type Approximations of the Time Value of Ruin with Heavy Tails, Daniel J. Geiger and Akim Adekpedjou

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A Second-Order Time-Stepping Scheme for Simulating Ensembles of Parameterized Flow Problems, Max Gunzburger, Nan Jiang, and Z. Wang

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Boundary Layers for the Subcritical Modes of the 3d Primitive Equations in a Cube, Makram Hamouda, Daozhi Han, Chang-Yeol Jung, Krutika Tawri, and Roger Temam

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Dynamic Bifurcation and Transition in the Rayleigh-Bénard Convection with Internal Heating and Varying Gravity, Daozhi Han, Marco Hernandez, and Quan Wang

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On the Instabilities and Transitions of the Western Boundary Current, Daozhi Han, Marco Hernandez, and Quan Wang

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Chapter 1: Finite Elements for 1D second order elliptic equation, Xiaoming He

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Chapter 2: 2D/3D Finite Element Spaces, Xiaoming He

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Chapter 3: Finite Elements for 2D second order elliptic equation, Xiaoming He

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On the Long-Time Behavior of a Perturbed Conservative System with Degeneracy, Wenqing Hu

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On the Global Convergence of Continuous-Time Stochastic Heavy-Ball Method for Nonconvex Optimization, Wenqing Hu, Chris Junchi Li, and Xiang Zhou

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Large Deviations and Averaging for Systems of Slow-Fast Stochastic Reaction-Diffusion Equations, Wenqing Hu, Michael Salins, and Konstantinos Spiliopoulos

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Joint Manufacturing and Onsite Microgrid System Control using Markov Decision Process and Neural Network Integrated Reinforcement Learning, Wenqing Hu, Zeyi Sun, Y. Zhang, and Y. Li

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Real-Time Frequency Regulation using Aggregated Electric Vehicles in Smart Grid, Md. Monirul Islam, Xiao Zhong, Zeyi Sun, Haoyi Xiong, and Wenqing Hu

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An Empirical Saddlepoint Approximation Based Method for Smoothing Survival Functions under Right Censoring, Pratheepa Jeganathan, Noroharivelo V. Randrianampy, Robert L. Paige, and A. Alexandre Trindade

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A Pressure-Correction Ensemble Scheme for Computing Evolutionary Boussinesq Equations, Nan Jiang

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An Efficient Ensemble Algorithm for Numerical Approximation of Stochastic Stokes–Darcy Equations, Nan Jiang and Changxin Qiu

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A Multi-Step Approach to Modeling the 24-Hour Daily Profiles of Electricity Load using Daily Splines, Abdelmonaem Jornaz and V. A. Samaranayake

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The Radial Mass-Subcritical NLS in Negative Order Sobolev Spaces, Rowan Killip, Satoshi Masaki, Jason Murphy, and Monica Visan

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Almost Sure Scattering for the Energy-Critical NLS with Radial Data Below H¹(ℝ⁴), Rowan Killip, Jason Murphy, and Monica Visan

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A Hierarchical Dimension Reduction Approach for Big Data with Application to Fault Diagnostics, R. Krishnan, V. A. Samaranayake, and Jagannathan Sarangapani

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Extremal Solutions in Systems of Variational Inequalities with Multivalued Mappings, Vy Khoi Le

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On the Existence of Solutions of Variational Inequalities in Nonreflexive Banach Spaces, Vy Khoi Le

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On the Solvability of Inclusions with Multivalued Compact Perturbations of Bi-Mappings, Vy Khoi Le

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Fast, Unconditionally Energy Stable Large Time Stepping Method for a New Allen-Cahn Type Square Phase-Field Crystal Model, Fubiao Lin, Xiaoming He, and Xiaoxia Wen

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New Solution to the Pressure Transient Equation in a Two-Layer Reservoir with Crossflow, Jing Lu, Botao Zhou, Md. Motiur Rahman, and Xiaoming He

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The Energy-Critical Nonlinear Wave Equation with an Inverse-Square Potential, Changxing Miao, Jason Murphy, and Jiqiang Zheng

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A Framework of Integrating Manufacturing Plants in Smart Grid Operation: Manufacturing Flexible Load Identification, Md. Monirul Islam, Zeyi Sun, Wenqing Hu, and Cihan H. Dagli

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A Course in Harmonic Analysis, Jason Murphy

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Random Data Final-State Problem for the Mass-Subcritical NLS in L², Jason Murphy

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Small Sample Inference for Exponential Survival Times with Heavy Right-Censoring, Robert L. Paige and Noroharivelo V. Randrianampy

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Challenges in Topological Object Data Analysis, Vic Patrangenaru, Peter Bubenik, Robert L. Paige, and Daniel Osborne

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A Nonparametric Approach to 3D Shape Analysis from Digital Camera Images -- II, Mingfei Qiu, Robert L. Paige, and Vic Patrangenaru

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HDG-POD Reduced Order Model of the Heat Equation, Jiguang Shen, John R. Singler, and Yangwen Zhang

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Three-Dimensional Rotation of Paramagnetic and Ferromagnetic Prolate Spheroids in Simple Shear and Uniform Magnetic Field, Christopher A. Sobecki, Yanzhi Zhang, and Cheng Wang

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Complex Associations between Environmental Factors and Child Growth: Novel Mixed-Methods Approach, Lee E. Voth-Gaeddert, Khalid K. Al-Jabery, Gayla R. Olbricht, Donald C. Wunsch, and Daniel B. Oerther

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DBSDA: Lowering the Bound of Misclassification Rate for Sparse Linear Discriminant Analysis via Model Debiasing, Haoyi Xiong, Wei Cheng, Jiang Bian, Wenqing Hu, Zeyi Sun, and Zhishan Guo

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Numerical Approximations for the Hydrodynamics Coupled Binary Surfactant Phase Field Model: Second-Order, Linear, Unconditionally Energy Stable Schemes, Chen Xu, Chuanjun Chen, Xiaofeng Yang, and Xiaoming He

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A Diffuse Interface Model and Semi-Implicit Energy Stable Finite Element Method for Two-Phase Magnetohydrodynamic Flows, Jinjin Yang, Shipeng Mao, Xiaoming He, Xiaofeng Yang, and Yinnian He

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Convergence Analysis of an Unconditionally Energy Stable Projection Scheme for Magneto-Hydrodynamic Equations, Xiaofeng Yang, Guo-Dong Zhang, and Xiaoming He

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A Khmaladze-Transformed Test of Fit with ML Estimation in the Presence of Recurrent Events, K. D. Zamba and Akim Adekpedjou

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A Decoupled, Linear and Unconditionally Energy Stable Scheme with Finite Element Discretizations for Magneto-Hydrodynamic Equations, Guo-Dong Zhang, Xiaoming He, and Xiaofeng Yang

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An Optimal EDG Method for Distributed Control of Convection Diffusion PDEs, X. Zhang, Y. Zhang, and John R. Singler

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Fabrication and Verification of a Glass-Silicon-Glass Micro-/Nanofluidic Model for Investigating Multi-Phase Flow in Shale-Like Unconventional Dual-Porosity Tight Porous Media, Yandong Zhang, Chuanle Zhou, Chuang Qu, Mingzhen Wei, Xiaoming He, and Baojun Bai

Submissions from 2018

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Spacelike Curves in the Lightlike Cone, Nemat Abazari, Martin Bohner, Ilgin Sager, and Alizera Sedaghatdoost

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Confidence Bands for Quantiles As a Function of Covariates in Recurrent Event Models, Akim Adekpedjou, Gayla R. Olbricht, and Gideon K. D. Zamba

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An Existence Result for Impulsive Multi-Point Boundary Value Systems Using a Local Minimization Principle, Ghasem A. Afrouzi, Martin Bohner, Giuseppe Caristi, Shapour Heidarkhani, and Shahin Moradi

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Approximation Degree of Durrmeyer-Bézier Type Operators, Purshottam N. Agrawal, Serkan Araci, Martin Bohner, and Kumari Lipi