Submissions from 2023
THE GENERALIZED LYAPUNOV FUNCTION as AO’S POTENTIAL FUNCTION: EXISTENCE in DIMENSIONS 1 and 2, Haoyu Wang, Wenqing Hu, Xiaoliang Gan, and Ping Ao
Impulsive Boundedness for Nonautonomous Dynamic Complex Networks with Constraint Nonlinearity, Yuqing Wu, Zhenkun Huang, Martin Bohner, and Jinde Cao
Impulsive Boundedness for Nonautonomous Dynamic Complex Networks with Constraint Nonlinearity, Yuqing Wu, Zhenkun Huang, Martin Bohner, and Jinde Cao
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
On the Hartogs Extension Theorem for Unbounded Domains in Cn, Al Boggess, Roman Dwilewicz, and Egmont Porten
A Q-Dirac Boundary Value Problem with Eigenparameter-Dependent Boundary Conditions, Martin Bohner and F. Ayça Çetinkaya
Delay Dynamic Equations on Isolated Time Scales and the Relevance of One-Periodic Coefficients, Martin Bohner, Tom Cuchta, and Sabrina Streipert
Delay Dynamic Equations on Isolated Time Scales and the Relevance of One-Periodic Coefficients, Martin Bohner, Tom Cuchta, and Sabrina Streipert
Nonoscillatory Solutions of Higher-Order Fractional Differential Equations, Martin Bohner, Said R. Grace, Irena Jadlovská, and Nurten Kılıç
Nonoscillatory Solutions of Higher-Order Fractional Differential Equations, Martin Bohner, Said R. Grace, Irena Jadlovská, and Nurten Kılıç
Asymptotic Properties of Kneser Solutions to Third-Order Delay Differential Equations, Martin Bohner, John R. Graef, and Irena Jadlovská
Stability for Generalized Caputo Proportional Fractional Delay Integro-Differential Equations, Martin Bohner and Snezhana Hristova
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
Discrete Fractional Cobweb Models, Martin Bohner and Jagan Mohan Jonnalagadda
Discrete Fractional Cobweb Models, Martin Bohner and Jagan Mohan Jonnalagadda
Hermite-Hadamard-Type Inequalities for Conformable Integrals, Martin Bohner, Artion Kashuri, Pshtiwan Othman Mohammed, and Juan E.Nápoles Valdés
Hermite–Hadamard-Type Inequalities for Conformable Integrals, Martin Bohner, Artion Kashuri, Pshtiwan Othman Mohammed, and Juan E.Nápoles Valdés
Vector-Valued Functions on Time Scales and Random Differential Equations, Martin Bohner, Vasile Lupulescu, Donal O'Regan, and Waqas Ali Azhar
Vector-Valued Functions on Time Scales and Random Differential Equations, Martin Bohner, Vasile Lupulescu, Donal O'Regan, and Waqas Ali Azhar
Periodicity on Isolated Time Scales, Martin Bohner, Jaqueline Mesquita, and Sabrina Streipert
Periodicity on Isolated Time Scales, Martin Bohner, Jaqueline Mesquita, and Sabrina Streipert
The Beverton-Hold Model on Isolated Time Scales, Martin Bohner, Jaqueline Mesquita, and Sabrina Streipert
The Beverton-Hold Model on Isolated Time Scales, Martin Bohner, Jaqueline Mesquita, and Sabrina Streipert
Qualitative Results for Nonlinear Integro-Dynamic Equations Via Integral Inequalities, Martin Bohner, Pallavi S. Scindia, and Sanket Tikare
QUALITATIVE ANALYSIS of INTEGRO-DIFFERENTIAL EQUATIONS with VARIABLE RETARDATION, Martin Bohner and Osman Tunç
Qualitative Analysis of Integro-Differential Equations with Variable Retardation, Martin Bohner and Osman Tunç
Oscillation of Noncanonical Second-Order Advanced Differential Equations via Canonical Transform, Martin Bohner, Kumar S. Vidhyaa, and Ethiraju Thandapani
THE BEAVERS-JOSEPH INTERFACE BOUNDARY CONDITION is WELL APPROXIMATED by the BEAVERS-JOSEPH-SAFFMAN-JONES INTERFACE BOUNDARY CONDITION, Yining Cao and Xiaoming Wang
Mathematical Justification of Two Reduced Models for Salt Fingering Convection, Yining Cao, Xiaoming Wang, and Jin Han Xie
Scattering Below the Ground State for the Intercritical Non-Radial Inhomogeneous NLS, Mykael Cardoso, Luiz Gustavo Farah, Carlos M. Guzmán, and Jason Murphy
Numerical Analysis of a Second Order Ensemble Method for Evolutionary Magnetohydrodynamics Equations at Small Magnetic Reynolds Number, John Carter and Nan Jiang
Numerical Analysis of a Second Order Ensemble Method for Evolutionary Magnetohydrodynamics Equations at Small Magnetic Reynolds Number, John Carter and Nan Jiang
Superconvergent Interpolatory HDG Methods for Reaction Diffusion Equations II: HHO-Inspired Methods, Gang Chen, Bernardo Cockburn, John R. Singler, and Yangwen Zhang
Conservative Unconditionally Stable Decoupled Numerical Schemes for the Cahn–Hilliard–Navier–Stokes–Darcy–Boussinesq System, Wenbin Chen, Daozhi Han, Xiaoming Wang, and Yichao Zhang
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
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
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
Divergence Criteria for Matrix Generalized Hypergeometric Series, Tom Cuchta, David E. Grow, and Nick Wintz
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
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
Second-Order, Fully Decoupled, Linearized, and Unconditionally Stable Scalar Auxiliary Variable Schemes for Cahn–Hilliard–Darcy System, Yali Gao, Xiaoming He, and Yufeng Nie
Analysis of IBNR Liabilities with Interevent Times Depending on Claim Counts, Daniel J. Geiger and Akim Adekpedjou
Analysis of IBNR Liabilities with Interevent Times Depending on Claim Counts, Daniel J. Geiger and Akim Adekpedjou
Analysis and Approximations of Dirichlet Boundary Control Of Stokes Flows in the Energy Space, Wei Gong, Mariano Mateos, John R. Singler, and Yangwen Zhang
Maintenance Optimization in a Digital Twin for Industry 4.0, Abhijit Gosavi and Vy Khoi Le
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
A Decoupled and Iterative Finite Element Method for Generalized Boussinesq Equations, Yuanyuan Hou, Wenjing Yan, Maojun Li, and Xiaoming He
A Decoupled and Iterative Finite Element Method for Generalized Boussinesq Equations, Yuanyuan Hou, Wenjing Yan, Maojun Li, and Xiaoming He
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
Pattern Selection in the Schnakenberg Equations: from Normal to Anomalous Diffusion, Hatim K. Khudhair, Yanzhi Zhang, and Nobuyuki Fukawa
On Inclusions with Monotone-Type Mappings in Nonreflexive Banach Spaces, Vy Khoi Le
On Inclusions with Monotone-Type Mappings in Nonreflexive Banach Spaces, Vy Khoi Le
Dynamical Transition and Bifurcation of Hydromagnetic Convection in a Rotating Fluid Layer, Liang Li, Yanlong Fan, Daozhi Han, and Quan Wang
Dynamical Transition and Bifurcation of Hydromagnetic Convection in a Rotating Fluid Layer, Liang Li, Yanlong Fan, Daozhi Han, and Quan Wang
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
New Optimized Robin−robin Domain Decomposition Methods using Krylov Solvers for the Stokes−darcy System, Yingzhi Liu, Yassine Boubendir, Xiaoming He, and Yinnian He
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
Predicting Convection Configurations in Coupled Fluid-Porous Systems, Matthew McCurdy, Nicholas J. Moore, and Xiaoming Wang
A Simple Proof of Scattering for the Intercritical Inhomogeneous NLS, Jason Murphy
Modified Scattering for a Dispersion-Managed Nonlinear Schrödinger Equation, Jason Murphy and Tim Van Hoose
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
Derivation and Analysis of a Discrete Predator-Prey Model, Sabrina H. Streipert, Gail S.K. Wolkowicz, and Martin Bohner
Derivation and Analysis of a Discrete Predator–Prey Model, Sabrina H. Streipert, Gail S.K. Wolkowicz, and Martin Bohner
Numerical Study of Generalized Modified Caputo Fractional Differential Equations, Imran Talib and Martin Bohner
Fundamental Structure of General Stochastic Dynamical Systems: High-Dimension Case, Haoyu Wang, Xiaoliang Gan, Wenqing Hu, and Ping Ao
Fundamental Structure of General Stochastic Dynamical Systems: High-Dimension Case, Haoyu Wang, Xiaoliang Gan, Wenqing Hu, and Ping Ao
HIGHLY ACCURATE OPERATOR FACTORIZATION METHODS for the INTEGRAL FRACTIONAL LAPLACIAN and its GENERALIZATION, Yixuan Wu and Yanzhi Zhang
Highly Accurate Operator Factorization Methods for the Integral Fractional Laplacian and its Generalization, Yixuan Wu and Yanzhi Zhang
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
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
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
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
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
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
A Stochastic Collocation Method based on Sparse Grids for a Stochastic Stokes-Darcy Model, Zhipeng Yang, Xuejian Li, Xiaoming He, and Ju Ming
A STOCHASTIC COLLOCATION METHOD based on SPARSE GRIDS for a STOCHASTIC STOKES-DARCY MODEL, Zhipeng Yang, Xuejian Li, Xiaoming He, and Ju Ming
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
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
Discrete Symplectic Systems, Boundary Triplets, and Self-Adjoint Extensions, Petr Zemánek and Stephen L. Clark
Discrete Symplectic Systems, Boundary Triplets, and Self-Adjoint Extensions, Petr Zemánek and Stephen L. Clark
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
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
Optimal Equivalence Testing in Exponential Families, Renren Zhao and Robert L. Paige
Submissions from 2021
On Thin Continua, Hussam Abobaker and W. J. Charatonik
Hyers-Ulam and Hyers-Ulam-Rassias Stability of First-Order Nonlinear Dynamic Equations, Maryam A. Alghamdi, Mymonah Alharbi, Martin Bohner, and Alaa E. Hamza
Hyers-Ulam and Hyers-Ulam-Rassias Stability of First-Order Linear Dynamic Equations, Maryam A. Alghamdi, Alaa Aljehani, Martin Bohner, and Alaa E. Hamza
Oscillation of Nonlinear Third-Order Difference Equations with Mixed Neutral Terms, Jehad Alzabut, Martin Bohner, and Said R. Grace
A Multivalued Logarithm on Time Scales, Douglas R. Anderson and Martin Bohner
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
Finite-Time Distributed Control with Time Transformation, Ehsan Arabi, Tansel Yucelen, and John R. Singler
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
An Implicit Particle-In-Cell Model based on Anisotropic Immersed-Finite-Element Method, Jinwei Bai, Yong Cao, Xiaoming He, and Peng E
Oscillation of Even-Order Neutral Differential Equations with Retarded and Advanced Arguments, Martin Bohner, Bose Rani, Srinivasan Selvarangam, and Ethiraju Thandapani
First-Order Nonlinear Dynamic Initial Value Problems, Martin Bohner, Sanket Tikare, and Iguer Luis Domini dos Santos
Qualitative Analysis of Caputo Fractional Integro-Differential Equations with Constant Delays, Martin Bohner, Osman Tunç, and Cemil Tunç
Heterogeneity in Blood Biomarker Trajectories after Mild TBI Revealed by Unsupervised Learning, Lien A. Bui, Dacosta Yeboah, Louis Steinmeister, Sima Azizi, Daniel Hier, Donald C. Wunsch, Gayla R. Olbricht, and Tayo Obafemi-Ajayi
A Unified Meshfree Pseudospectral Method for Solving Both Classical and Fractional Pdes, John Burkardt, Yixuan Wu, and Yanzhi Zhang
Introduction, Siegfried Carl and Vy Khoi Le
