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Submissions from 2021

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Fourth Derivative Singularly P-Stable Method for the Numerical Solution of the Schrödinger Equation, Ali Shokri, Higinio Ramos, Mohammad Mehdizadeh Khalsaraei, Fikret A. Aliev, and Martin Bohner

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Predictive Modeling of Sports-Related Concussions using Clinical Assessment Metrics, Sujit Subhash, Tayo Obafemi-Ajayi, Dennis Goodman, Donald C. Wunsch, and Gayla R. Olbricht

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Dynamic Local and Nonlocal Initial Value Problems in Banach Spaces, Sanket Tikare, Martin Bohner, Bipan Hazarika, and Ravi P. Agarwal

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Global Weak Solutions To The Navier{Stokes{Darcy{Boussinesq System For Thermal Convection In Coupled Free And Porous Media Flows, Xiaoming Wang and Hao Wu

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On the Fast Convergence of Random Perturbations of the Gradient Flow, Jiaojiao Yang, Wenqing Hu, and Chris Junchi Li

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A Deep Learning Model to Predict Traumatic Brain Injury Severity and Outcome from MR Images, Dacosta Yeboah, Hung Nguyen, Daniel B. Hier, Gayla R. Olbricht, and Tayo Obafemi-Ajayi

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Decoupled, Linear, and Unconditionally Energy Stable Fully Discrete Finite Element Numerical Scheme for a Two-Phase Ferrohydrodynamics Model, Guo Dong Zhang, Xiaoming He, and Xiaofeng Yang

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Direct Pore-Level Visualization and Verification of In Situ Oil-in-Water Pickering Emulsification during Polymeric Nanogel Flooding for EOR in a Transparent Three-Dimensional Micromodel, Yandong Zhang, Jiaming Geng, Junchen Liu, Baojun Bai, Xiaoming He, Mingzhen Wei, and Wen Deng

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Second-Order Decoupled Energy-Stable Schemes for Cahn-Hilliard-Navier-Stokes Equations, Jia Zhao and Daozhi Han

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Photoelectron Sheath and Plasma Charging on the Lunar Surface: Semianalytic Solutions and Fully-Kinetic Particle-In-Cell Simulations, Jianxun Zhao, Xinpeng Wei, Xiaoping Du, Xiaoming He, and Daoru Frank Han

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Fully-Kinetic Particle-In-Cell Simulations of Photoelectron Sheath on Uneven Lunar Surface, Jianxun Zhao, Xinpeng Wei, Xiaoming He, Daoru Frank Han, and Xiaoping Du

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Photoelectron Sheath Near the Lunar Surface: Fully Kinetic Modeling and Uncertainty Quantification Analysis, Jianxun Zhao, Xinpeng Wei, Zhangli Hu, Xiaoming He, Daoru Frank Han, Zhen Hu, and Xiaoping Du

Submissions from 2020

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A Natural Frenet Frame for Null Curves on the Lightlike Cone in Minkowski Space ℝ⁴₂, Nemat Abazari, Martin Bohner, Ilgin Sağer, Alireza Sedaghatdoost, and Yusuf Yayli

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Semiparametric Estimation with Spatially Correlated Recurrent Events, Akim Adekpedjou and Sophie Dabo-Niang

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

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On Exact Solutions to Epidemic Dynamic Models, Elvan Akin and Gülşah Yeni

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Continuous and Discrete Modeling of HIV-1 Decline on Therapy, Elvan Akin, Gülşah Yeni, and Alan S. Perelson

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A Coupled Multiphysics Model and a Decoupled Stabilized Finite Element Method for the Closed-Loop Geothermal System, M. D. Abdullah Al Mahbub, Xiaoming He, Nasrin Jahan Nasu, Changxin Qiu, Yifan Wang, and Haibiao Zheng

Quadratic Programming Problems on Time Scales, Rasheed Al-Salih and Martin Bohner

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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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Existence Results for Dynamic Sturm-Liouville Boundary Value Problems Via Variational Methods, David Barilla, Martin Bohner, Shapour Heidarkhani, and Shahin Moradi

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Student Preclass Preparation by Both Reading the Textbook and Watching Videos Online Improves Exam Performance in a Partially Flipped Course, Kaleb Bassett, Gayla R. Olbricht, and Katie Shannon

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Sharp Oscillation Criteria for Second-Order Neutral Delay Differential Equations, Martin Bohner, Said R. Grace, and Irena Jadlovská

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

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Separable Differential Operators with Parameters, Martin Bohner and Veli B. Shakhmurov

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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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Targeted Learning for the Dynamic Selection of Channel Estimation Methodology, Arul Mathi Maran Chandran, Maciej Jan Zawodniok, and Akim Adekpedjou

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

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Existence and Uniqueness of Solutions for Nonlinear Caputo Fractional Difference Equations, Churong Chen, Martin Bohner, and Baoguo Jia

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Uniquely Solvable and Energy Stable Decoupled Numerical Schemes for the Cahn-Hilliard-Navier-Stokes-Darcy-Boussinesq System, Wenbin Chen, Daozhi Han, Xiaoming Wang, and Yichao Zhang

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A Stabilized Second Order Exponential Time Differencing Multistep Method for Thin Film Growth Model Without Slope Selection, Wenbin Chen, Weijia Li, Zhiwen Luo, Cheng Wang, and Xiaoming Wang

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Energy Stable Higher-Order Linear ETD Multi-Step Methods for Gradient Flows: Application to Thin Film Epitaxy, Wenbin Chen, Weijia Li, Cheng Wang, Shufen Wang, and Xiaoming Wang

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Energy Stable Numerical Schemes for Ternary Cahn-Hilliard System, Wenbin Chen, Cheng Wang, Shufen Wang, Xiaoming Wang, and Steven M. Wise

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Scattering For Defocusing Energy Subcritical Nonlinear Wave Equations, Benjamin Dodson, Andrew Lawrie, D. Mendelson, and Jason Murphy

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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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Vanishing Porosity Limit of the Coupled Stokes-Brinkman System, Mingwen Fei, Dongjuan Niu, and Xiaoming Wang

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Analysis of a Hybridizable Discontinuous Galerkin Scheme for the Tangential Control of the Stokes System, Wei Gong, Weiwei Hu, Mariano Mateos, John R. Singler, and Yangwen Zhang

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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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Dynamic Transitions and Bifurcations for Thermal Convection in the Superposed Free Flow and Porous Media, Daozhi Han, Quan Wang, and Xiaoming Wang

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New Reproducing Kernel Hilbert Spaces on Semi-Infinite Domains with Existence and Uniqueness Results for the Nonhomogeneous Telegraph Equation, Jabar S. Hassan and David E. Grow

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A Critical Point Approach for a Second-Order Dynamic Sturm-Liouville Boundary Value Problem with P-Laplacian, Shapour Heidarkhani, Martin Bohner, Giuseppe Caristi, and Farahnaz Ayazi

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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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Evaluation of Standard and Semantically-Augmented Distance Metrics for Neurology Patients, Daniel B. Hier, Jonathan Kopel, Steven U. Brint, Donald C. Wunsch, Gayla R. Olbricht, Sima Azizi, and Blaine Allen

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A Model-Free Conditional Screening Approach Via Sufficient Dimension Reduction, Lei Huo, Xuerong Meggie Wen, and Zhou Yu

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

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Flexible Energy Load Identification in Intelligent Manufacturing for Demand Response using a Neural Network Integrated Particle Swarm Optimization, Md Monirul Islam, Zeyi Sun, Ruwen Qin, Wenqing Hu, Haoyi Xiong, and Kaibo Xu

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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 Deep Neural Networks with Applications to Big Data, R. Krishnan, S. Jagannathan, and V. A. Samaranayake

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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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On Variational Inequalities with Multivalued Perturbing Terms Depending on Gradients, Vy Khoi Le

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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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Positive And Free Energy Satisfying Schemes For Diffusion With Interaction Potentials, Hailiang Liu and Wumaier Maimaitiyiming

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Unconditional positivity-preserving and energy stable schemes for a reduced poisson-nernst-planck system, Hailiang Liu and Wumaier Maimaitiyiming

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Discrete Unified Gas Kinetic Scheme for a Reformulated BGK-Vlasov-Poisson System in All Electrostatic Plasma Regimes, Hongtao Liu, Feng Shi, Jie Wan, Xiaoming He, and Yong Cao

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New Proper Orthogonal Decomposition Approximation Theory for PDE Solution Data, Sarah Locke and John R. Singler

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A Fully Decoupled Iterative Method with Three-Dimensional Anisotropic Immersed Finite Elements for Kaufman-Type Discharge Problems, Chang Lu, Jie Wan, Yong Cao, and Xiaoming He

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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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Stability of Small Solitary Waves for the One-Dimensional Nls with an Attractive Delta Potential, Satoshi Masaki, Jason Murphy, and Jun Ichi Segata

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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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Numerical Simulations for the Energy-Supercritical Nonlinear Wave Equation, Jason Murphy and Yanzhi Zhang

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Statistical Comparative Analysis and Evaluation of Validation Indices for Clustering Optimization, Thy Nguyen, Jason Viehman, Dacosta Yeboah, Gayla R. Olbricht, and Tayo Obafemi-Ajayi

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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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Exploratory Analysis of Concussion Recovery Trajectories using Multi-Modal Assessments and Serum Biomarkers, Zachary Roy, Sujit Subhash, Lien A. Bui, Bassam Hadi, Daniel B. Hier, Donald C. Wunsch, Gayla R. Olbricht, and Tayo Obafemi-Ajayi

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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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On the Noisy Gradient Descent that Generalizes as SGD, Jingfeng Wu, Wenqing Hu, Haoyi Xiong, Jun Huan, Vladimir Braverman, and Zhanxing Zhu

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A Generalized Finite Difference Method for Solving Elliptic Interface Problems, Yanan Xing, Lina Song, Xiaoming He, and Changxin Qiu

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An Explainable and Statistically Validated Ensemble Clustering Model Applied to the Identification of Traumatic Brain Injury Subgroups, Dacosta Yeboah, Louis Steinmeister, Daniel B. Hier, Bassam Hadi, Donald C. Wunsch, Gayla R. Olbricht, and Tayo Obafemi-Ajayi

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Thermal Effect of Cold Fluid Injection on Fracture Integrity of Host Rock: A Microscale Analysis of Single Asperity, Chao Zeng, Wen Deng, Chenglin Wu, and Matt Insall

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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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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