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Submissions from 2023

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Thermal Properties of Hfn-Mow Surrogate Cermet Fuel for Nuclear Thermal Propulsion, James F. Mudd, Jeremy Lee Watts, Jhonathan Rosales, Ryan P. Wilkerson, Brian Taylor, William Fahrenholtz, Gregory Hilmas, and Joseph T. Graham

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Recovery Of A Spatially-dependent Coefficient From The NLS Scattering Map, Jason Murphy

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WELL-POSEDNESS AND BLOWUP FOR THE DISPERSION-MANAGED NONLINEAR SCHRÖDINGER EQUATION, Jason Murphy and Tim Van Hoose

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An Integer GARCH Model For A Poisson Process With Time-varying Zero-inflation, Isuru Panduka Ratnayake and V. A. Samaranayake

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Thermal and Electrical Properties of Spark Plasma Sintered (Ti,cr)b2 Ceramics, Steven M. Smith, Lun Feng, William Fahrenholtz, Gregory E. Hilmas, and Laura Silvestroni

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THE GENERALIZED LYAPUNOV FUNCTION as AO’S POTENTIAL FUNCTION: EXISTENCE in DIMENSIONS 1 and 2, Haoyu Wang, Wenqing Hu, Xiaoliang Gan, and Ping Ao

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Impulsive Boundedness for Nonautonomous Dynamic Complex Networks with Constraint Nonlinearity, Yuqing Wu, Zhenkun Huang, Martin Bohner, and Jinde Cao

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Impulsive Boundedness for Nonautonomous Dynamic Complex Networks with Constraint Nonlinearity, Yuqing Wu, Zhenkun Huang, Martin Bohner, and Jinde Cao

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REFORMULATED WEAK FORMULATION AND EFFICIENT FULLY DISCRETE FINITE ELEMENT METHOD FOR A TWO-PHASE FERROHYDRODYNAMICS SHLIOMIS MODEL, Guo Dong Zhang, Xiaoming He, and Xiaofeng Yang

Submissions from 2022

A Coupled Caputo-Hadamard Fractional Differential System with Multipoint Boundary Conditions, Samir Aibout, Saïd Abbas, Mouffak Benchohra, and Martin Bohner

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On the Hartogs Extension Theorem for Unbounded Domains in Cn, Al Boggess, Roman Dwilewicz, and Egmont Porten

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A Q-Dirac Boundary Value Problem with Eigenparameter-Dependent Boundary Conditions, Martin Bohner and F. Ayça Çetinkaya

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Delay Dynamic Equations on Isolated Time Scales and the Relevance of One-Periodic Coefficients, Martin Bohner, Tom Cuchta, and Sabrina Streipert

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Delay Dynamic Equations on Isolated Time Scales and the Relevance of One-Periodic Coefficients, Martin Bohner, Tom Cuchta, and Sabrina Streipert

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Nonoscillatory Solutions of Higher-Order Fractional Differential Equations, Martin Bohner, Said R. Grace, Irena Jadlovská, and Nurten Kılıç

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Nonoscillatory Solutions of Higher-Order Fractional Differential Equations, Martin Bohner, Said R. Grace, Irena Jadlovská, and Nurten Kılıç

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Asymptotic Properties of Kneser Solutions to Third-Order Delay Differential Equations, Martin Bohner, John R. Graef, and Irena Jadlovská

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Stability for Generalized Caputo Proportional Fractional Delay Integro-Differential Equations, Martin Bohner and Snezhana Hristova

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A Generalized Proportional Caputo Fractional Model of Multi-Agent Linear Dynamic Systems Via Impulsive Control Protocol, Martin Bohner, Snezhana Hristova, Agnieszka B. Malinowska, Maria Luísa Morgado, and Ricardo Almeida

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Discrete Fractional Cobweb Models, Martin Bohner and Jagan Mohan Jonnalagadda

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Discrete Fractional Cobweb Models, Martin Bohner and Jagan Mohan Jonnalagadda

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Hermite-Hadamard-Type Inequalities for Conformable Integrals, Martin Bohner, Artion Kashuri, Pshtiwan Othman Mohammed, and Juan E.Nápoles Valdés

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Hermite–Hadamard-Type Inequalities for Conformable Integrals, Martin Bohner, Artion Kashuri, Pshtiwan Othman Mohammed, and Juan E.Nápoles Valdés

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Vector-Valued Functions on Time Scales and Random Differential Equations, Martin Bohner, Vasile Lupulescu, Donal O'Regan, and Waqas Ali Azhar

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Vector-Valued Functions on Time Scales and Random Differential Equations, Martin Bohner, Vasile Lupulescu, Donal O'Regan, and Waqas Ali Azhar

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Periodicity on Isolated Time Scales, Martin Bohner, Jaqueline Mesquita, and Sabrina Streipert

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Periodicity on Isolated Time Scales, Martin Bohner, Jaqueline Mesquita, and Sabrina Streipert

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The Beverton-Hold Model on Isolated Time Scales, Martin Bohner, Jaqueline Mesquita, and Sabrina Streipert

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The Beverton-Hold Model on Isolated Time Scales, Martin Bohner, Jaqueline Mesquita, and Sabrina Streipert

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Qualitative Results for Nonlinear Integro-Dynamic Equations Via Integral Inequalities, Martin Bohner, Pallavi S. Scindia, and Sanket Tikare

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Qualitative Analysis of Integro-Differential Equations with Variable Retardation, Martin Bohner and Osman Tunç

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QUALITATIVE ANALYSIS of INTEGRO-DIFFERENTIAL EQUATIONS with VARIABLE RETARDATION, Martin Bohner and Osman Tunç

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Oscillation of Noncanonical Second-Order Advanced Differential Equations via Canonical Transform, Martin Bohner, Kumar S. Vidhyaa, and Ethiraju Thandapani

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THE BEAVERS-JOSEPH INTERFACE BOUNDARY CONDITION is WELL APPROXIMATED by the BEAVERS-JOSEPH-SAFFMAN-JONES INTERFACE BOUNDARY CONDITION, Yining Cao and Xiaoming Wang

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Mathematical Justification of Two Reduced Models for Salt Fingering Convection, Yining Cao, Xiaoming Wang, and Jin Han Xie

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Scattering Below the Ground State for the Intercritical Non-Radial Inhomogeneous NLS, Mykael Cardoso, Luiz Gustavo Farah, Carlos M. Guzmán, and Jason Murphy

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Numerical Analysis of a Second Order Ensemble Method for Evolutionary Magnetohydrodynamics Equations at Small Magnetic Reynolds Number, John Carter and Nan Jiang

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Numerical Analysis of a Second Order Ensemble Method for Evolutionary Magnetohydrodynamics Equations at Small Magnetic Reynolds Number, John Carter and Nan Jiang

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Superconvergent Interpolatory HDG Methods for Reaction Diffusion Equations II: HHO-Inspired Methods, Gang Chen, Bernardo Cockburn, John R. Singler, and Yangwen Zhang

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Conservative Unconditionally 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 Positivity Preserving, Energy Stable Finite Difference Scheme for the Flory-Huggins-Cahn-Hilliard-Navier-Stokes System, Wenbin Chen, Jianyu Jing, Cheng Wang, and Xiaoming Wang

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Error Estimate of a Decoupled Numerical Scheme for the Cahn-Hilliard-Stokes-Darcy System, Wenbin Chen, Shufen Wang, Yichao Zhang, Daozhi Han, Cheng Wang, and Xiaoming Wang

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Error Estimate of a Decoupled Numerical Scheme for the Cahn-Hilliard-Stokes-Darcy System, Wenbin Chen, Shufen Wang, Yichao Zhang, Daozhi Han, Cheng Wang, and Xiaoming Wang

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Divergence Criteria for Matrix Generalized Hypergeometric Series, Tom Cuchta, David E. Grow, and Nick Wintz

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Unconditionally Stable Numerical Methods for Cahn-Hilliard-Navier-Stokes-Darcy System with Different Densities and Viscosities, Yali Gao, Daozhi Han, Xiaoming He, and Ulrich Rüde

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Unconditionally Stable Numerical Methods for Cahn-Hilliard-Navier-Stokes-Darcy System with Different Densities and Viscosities, Yali Gao, Daozhi Han, Xiaoming He, and Ulrich Rüde

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Second-Order, Fully Decoupled, Linearized, and Unconditionally Stable Scalar Auxiliary Variable Schemes for Cahn–Hilliard–Darcy System, Yali Gao, Xiaoming He, and Yufeng Nie

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Analysis of IBNR Liabilities with Interevent Times Depending on Claim Counts, Daniel J. Geiger and Akim Adekpedjou

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Analysis of IBNR Liabilities with Interevent Times Depending on Claim Counts, Daniel J. Geiger and Akim Adekpedjou

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Analysis and Approximations of Dirichlet Boundary Control Of Stokes Flows in the Energy Space, Wei Gong, Mariano Mateos, John R. Singler, and Yangwen Zhang

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Maintenance Optimization in a Digital Twin for Industry 4.0, Abhijit Gosavi and Vy Khoi Le

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Modeling and a Robin-Type Decoupled Finite Element Method for Dual-Porosity-Navier-Stokes System with Application to Flows Around Multistage Fractured Horizontal Wellbore, Jiangyong Hou, Dan Hu, Xiaoming He, and Changxin Qiu

A Decoupled, Parallel, Iterative Finite Element Method for Solving the Steady Boussinesq Equations, Yuanyuan Hou, Wenjing Yan, Lioba Boveleth, and Xiaoming He

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A Decoupled and Iterative Finite Element Method for Generalized Boussinesq Equations, Yuanyuan Hou, Wenjing Yan, Maojun Li, and Xiaoming He

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A Decoupled and Iterative Finite Element Method for Generalized Boussinesq Equations, Yuanyuan Hou, Wenjing Yan, Maojun Li, and Xiaoming He

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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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Pattern Selection in the Schnakenberg Equations: from Normal to Anomalous Diffusion, Hatim K. Khudhair, Yanzhi Zhang, and Nobuyuki Fukawa

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On Inclusions with Monotone-Type Mappings in Nonreflexive Banach Spaces, Vy Khoi Le

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On Inclusions with Monotone-Type Mappings in Nonreflexive Banach Spaces, Vy Khoi Le

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Dynamical Transition and Bifurcation of Hydromagnetic Convection in a Rotating Fluid Layer, Liang Li, Yanlong Fan, Daozhi Han, and Quan Wang

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Dynamical Transition and Bifurcation of Hydromagnetic Convection in a Rotating Fluid Layer, Liang Li, Yanlong Fan, Daozhi Han, and Quan Wang

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Fabrications and Applications of Micro/nanofluidics in Oil and Gas Recovery: A Comprehensive Review, Junchen Liu, Yandong Zhang, Mingzhen Wei, Xiaoming He, and Baojun Bai

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New Optimized Robin−robin Domain Decomposition Methods using Krylov Solvers for the Stokes−darcy System, Yingzhi Liu, Yassine Boubendir, Xiaoming He, and Yinnian He

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Weak Scaling of the Parallel Immersed-Finite-Element Particle-In-Cell (PIFE-PIC) Framework with Lunar Plasma Charging Simulations, David Lund, Xiaoming He, Xu Zhang, and Daoru Frank Han

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Predicting Convection Configurations in Coupled Fluid-Porous Systems, Matthew McCurdy, Nicholas J. Moore, and Xiaoming Wang

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A Simple Proof of Scattering for the Intercritical Inhomogeneous NLS, Jason Murphy

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Modified Scattering for a Dispersion-Managed Nonlinear Schrödinger Equation, Jason Murphy and Tim Van Hoose

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Combining Cardiac Monitoring with Actigraphy Aids Nocturnal Arousal Detection during Ambulatory Sleep Assessment in Insomnia, Lara Rösler, Glenn Van Der Lande, Jeanne Leerssen, Austin G. Vandegriffe, Oti Lakbila-Kamal, Jessica C. Foster-Dingley, Anne C.W. Albers, and Eus J.W. Van Someren

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Derivation and Analysis of a Discrete Predator-Prey Model, Sabrina H. Streipert, Gail S.K. Wolkowicz, and Martin Bohner

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Derivation and Analysis of a Discrete Predator–Prey Model, Sabrina H. Streipert, Gail S.K. Wolkowicz, and Martin Bohner

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Numerical Study of Generalized Modified Caputo Fractional Differential Equations, Imran Talib and Martin Bohner

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Fundamental Structure of General Stochastic Dynamical Systems: High-Dimension Case, Haoyu Wang, Xiaoliang Gan, Wenqing Hu, and Ping Ao

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Fundamental Structure of General Stochastic Dynamical Systems: High-Dimension Case, Haoyu Wang, Xiaoliang Gan, Wenqing Hu, and Ping Ao

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Highly Accurate Operator Factorization Methods for the Integral Fractional Laplacian and its Generalization, Yixuan Wu and Yanzhi Zhang

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HIGHLY ACCURATE OPERATOR FACTORIZATION METHODS for the INTEGRAL FRACTIONAL LAPLACIAN and its GENERALIZATION, Yixuan Wu and Yanzhi Zhang

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Joint Control of Manufacturing and Onsite Microgrid System via Novel Neural-Network Integrated Reinforcement Learning Algorithms, Jiaojiao Yang, Zeyi Sun, Wenqing Hu, and Louis Steinmeister

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Joint Control of Manufacturing and Onsite Microgrid System Via Novel Neural-Network Integrated Reinforcement Learning Algorithms, Jiaojiao Yang, Zeyi Sun, Wenqing Hu, and Louis Steinmeister

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A Fully-Discrete Decoupled Finite Element Method for the Conserved Allen-Cahn Type Phase-Field Model of Three-Phase Fluid Flow System, Xiaofeng Yang and Xiaoming He

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A Fully-Discrete Decoupled Finite Element Method for the Conserved Allen–Cahn Type Phase-Field Model of Three-Phase Fluid Flow System, Xiaofeng Yang and Xiaoming He

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Numerical Approximations of Flow Coupled Binary Phase Field Crystal System: Fully Discrete Finite Element Scheme with Second-Order Temporal Accuracy and Decoupling Structure, Xiaofeng Yang and Xiaoming He

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Numerical Approximations of Flow Coupled Binary Phase Field Crystal System: Fully Discrete Finite Element Scheme with Second-Order Temporal Accuracy and Decoupling Structure, Xiaofeng Yang and Xiaoming He

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A Stochastic Collocation Method based on Sparse Grids for a Stochastic Stokes-Darcy Model, Zhipeng Yang, Xuejian Li, Xiaoming He, and Ju Ming

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A STOCHASTIC COLLOCATION METHOD based on SPARSE GRIDS for a STOCHASTIC STOKES-DARCY MODEL, Zhipeng Yang, Xuejian Li, Xiaoming He, and Ju Ming

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A Multigrid Multilevel Monte Carlo Method for Stokes-Darcy Model with Random Hydraulic Conductivity and Beavers-Joseph Condition, Zhipeng Yang, Ju Ming, Changxin Qiu, Maojun Li, and Xiaoming He

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A Multigrid Multilevel Monte Carlo Method for Stokes–Darcy Model with Random Hydraulic Conductivity and Beavers–Joseph Condition, Zhipeng Yang, Ju Ming, Changxin Qiu, Maojun Li, and Xiaoming He

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Discrete Symplectic Systems, Boundary Triplets, and Self-Adjoint Extensions, Petr Zemánek and Stephen L. Clark

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Discrete Symplectic Systems, Boundary Triplets, and Self-Adjoint Extensions, Petr Zemánek and Stephen L. Clark

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A Fully Decoupled Linearized Finite Element Method with Second-Order Temporal Accuracy and Unconditional Energy Stability for Incompressible MHD Equations, Guo Dong Zhang, Xiaoming He, and Xiaofeng Yang

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Kinetic Particle Simulations of Plasma Charging and Dust Transport Near Uneven Lunar Surface Terrain, Jianxun Zhao, Guirong Grace Yan, Xiaoming He, and Daoru Frank Han

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Optimal Equivalence Testing in Exponential Families, Renren Zhao and Robert L. Paige

Submissions from 2021

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On Thin Continua, Hussam Abobaker and W. J. Charatonik

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Hyers-Ulam and Hyers-Ulam-Rassias Stability of First-Order Nonlinear Dynamic Equations, Maryam A. Alghamdi, Mymonah Alharbi, Martin Bohner, and Alaa E. Hamza

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Hyers-Ulam and Hyers-Ulam-Rassias Stability of First-Order Linear Dynamic Equations, Maryam A. Alghamdi, Alaa Aljehani, Martin Bohner, and Alaa E. Hamza

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Oscillation of Nonlinear Third-Order Difference Equations with Mixed Neutral Terms, Jehad Alzabut, Martin Bohner, and Said R. Grace

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A Multivalued Logarithm on Time Scales, Douglas R. Anderson and Martin Bohner

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Corrigendum To: Finite-Time Distributed Control with Time Transformation (International Journal of Robust and Nonlinear Control, (2021), 31, 1, (107-130), 10.1002/Rnc.5264), Ehsan Arabi, Tansel Yucelen, and John R. Singler

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

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A Kinetic Model for Blood Biomarker Levels after Mild Traumatic Brain Injury, Sima Azizi, Daniel B. Hier, Blaine Allen, Tayo Obafemi-Ajayi, Gayla R. Olbricht, Matthew S. Thimgan, and Donald C. Wunsch

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An Implicit Particle-In-Cell Model based on Anisotropic Immersed-Finite-Element Method, Jinwei Bai, Yong Cao, Xiaoming He, and Peng E

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Oscillation of Even-Order Neutral Differential Equations with Retarded and Advanced Arguments, Martin Bohner, Bose Rani, Srinivasan Selvarangam, and Ethiraju Thandapani