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Submissions from 2019

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

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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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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

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

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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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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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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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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 H¹R⁴, Rowan Killip, Jason Murphy, and Monica Visan

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

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

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

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

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Mini Review: A Note on Nonoscillatory Solutions for Higher Dimensional Time Scale Systems, Elvan Akin, Ozkan Ozturk, Ismail Ugur Tiryaki, and Gulsah Yeni

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Oscillation Criteria for Four-Dimensional Time-Scale Systems, Elvan Akin and Gulsah Yeni

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

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Further Results on Finite-Time Distributed Control of Multiagent Systems with Time Transformation, Ehsan Arabi, Tansel Yucelen, and John R. Singler

Parametrization of Scale-Invariant Self-Adjoint Extensions of Scale-Invariant Symmetric Operators, Miron B. Bekker, Martin Bohner, Alexander P. Ugol'nikov, and Hristo Voulov

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Rank-Based Inference with Responses Missing Not at Random, Huybrechts F. Bindele and Akim Adekpedjou

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A Critical Point Approach to Boundary Value Problems on the Real Line, 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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The Generalized Hypergeometric Difference Equation, Martin Bohner and Tom Cuchta

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A Nonautonomous Beverton-Holt Equation of Higher Order, Martin Bohner, Fozi M. Dannan, and Sabrina Streipert

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Fite-Hille-Wintner-Type Oscillation Criteria for Second-Order Half-Linear Dynamic Equations with Deviating Arguments, Martin Bohner, Taher S. Hassan, and Tongxing Li

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

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Almost Periodic Functions in Quantum Calculus, Martin Bohner and Jaqueline Godoy Mesquita

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Massera's Theorem in Quantum Calculus, Martin Bohner and Jaqueline Godoy Mesquita

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A Further Extension of the Extended Riemann-Liouville Fractional Derivative Operator, Martin Bohner, Gauhar Rahman, Shahid Mubeen, and Kottakkaran Sooppy Nisar

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An Impulsive Delay Discrete Stochastic Neural Network Fractional-Order Model and Applications in Finance, Martin Bohner and Ivanka M. Stamova

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An HDG Method for Distributed Control of Convection Diffusion PDEs, Gang Chen, Weiwei Hu, Jiguang Shen, John R. Singler, Yangwen Zhang, and Xiaobo Zheng

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A New Proof of Scattering below the Ground State for the Non-Radial Focusing NLS, Benjamin Dodson and Jason Murphy

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A Fast Algorithm for Solving the Space-Time Fractional Diffusion Equation, Siwei Duo, Lili Ju, and Yanzhi Zhang

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A Novel and Accurate Finite Difference Method for the Fractional Laplacian and the Fractional Poisson Problem, Siwei Duo, Hans Werner van Wyk, and Yanzhi Zhang

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Incremental Proper Orthogonal Decomposition for PDE Simulation Data, Hiba Fareed, John R. Singler, Yangwen Zhang, and Jiguang Shen

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Decoupled, Linear, and Energy Stable Finite Element Method for the Cahn-Hilliard-Navier-Stokes-Darcy Phase Field Model, Yali Gao, Xiaoming He, Liquan Mei, and Xiaofeng Yang

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Distributed Learning of Deep Sparse Neural Networks for High-Dimensional Classification, Shweta Garg, R. Krishnan, Jagannathan Sarangapani, and V. A. Samaranayake

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A New HDG Method for Dirichlet Boundary Control of Convection Diffusion PDEs II: Low Regularity, Wei Gong, Weiwei Hu, Mariano Mateos, John R. Singler, Xiao Zhang, and Yangwen Zhang

A Higher-Order Ensemble/Proper Orthogonal Decomposition Method for the Nonstationary Navier-Stokes Equations, Max Gunzburger, Nan Jiang, and M. Schneier

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Analysis and Approximation of a Fractional Laplacian-Based Closure Model for Turbulent Flows and Its Connection to Richardson Pair Dispersion, Max Gunzburger, Nan Jiang, and Feifei Xu

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Boundary Layers for the 3D Primitive Equations in a Cube: The Zero-Mode, Makram Hamouda, Daozhi Han, Chang-Yeol Jung, and Roger Temam

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Immersed Finite Element Particle-in-Cell Simulations of Plasma Charging at the Lunar Terminator, Daoru Frank Han, Joseph J. Wang, and Xiaoming He

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Dynamical Transitions of a Low-Dimensional Model for Rayleigh-Bénard Convection under a Vertical Magnetic Field, Daozhi Han, Marco Hernandez, and Quan Wang

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A Second Order in Time, Decoupled, Unconditionally Stable Numerical Scheme for the Cahn-Hilliard-Darcy System, Daozhi Han and Xiaoming Wang

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Observer-Based Feedback Boundary Stabilization of the Navier-Stokes Equations, Xiaoming He, Weiwei Hu, and Yangwen Zhang

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Numerical Approximations for a Smectic-A Liquid Crystal Flow Model: First-Order, Linear, Decoupled and Energy Stable Schemes, Qiumei Huang, Xiaofeng Yang, and Xiaoming He

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Trace Pursuit Variable Selection for Multi-Population Data, Lei Huo, Xuerong Meggie Wen, and Zhou Yu

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A Superconvergent HDG Method for Distributed Control of Convection Diffusion PDEs, Weiwei Hu, Jiguang Shen, John R. Singler, Yangwen Zhang, and Xiaobo Zheng

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An Efficient, Partitioned Ensemble Algorithm for Simulating Ensembles of Evolutionary MHD Flows at Low Magnetic Reynolds Number, Nan Jiang and Michael Schneier

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The Initial-Value Problem for the Cubic-Quintic NLS with Nonvanishing Boundary Conditions, Rowan Killip, Jason Murphy, and Monica Visan

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A Multi-Step Nonlinear Dimension-Reduction Approach with Applications to Bigdata, R. Krishnan, V. A. Samaranayake, and Jagannathan Sarangapani

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A Minimax Approach for Classification with Big-Data, R. Krishnan, Jagannathan Sarangapani, and V. A. Samaranayake

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Direct Error Driven Learning for Deep Neural Networks with Applications to Bigdata, R. Krishnan, Jagannathan Sarangapani, and V. A. Samaranayake

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On Parabolic Variational Inequalities with Multivalued Terms and Convex Functionals, Vy Khoi Le and Klaus Schmitt

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A Stabilized Finite Volume Element Method for a Coupled Stokes-Darcy Problem, Ru Li, Jian Li, Xiaoming He, and Zhangxin Chen

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Scattering in H1 for the Intercritical NLS with an Inverse-Square Potential, Jing Lu, Changxing Miao, and Jason Murphy

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Factorial Design and Optimization of Ultra-High-Performance Concrete with Lightweight Sand, Weina Meng, V. A. Samaranayake, and Kamal Khayat

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Lipschitz Functions on SU(2) Have Uniformly Convergent Fourier Series, Donnie Myers and David E. Grow

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Small Sample Confidence Intervals for Survival Functions under the Proportional Hazards Model, Robert L. Paige and Emad Abdurasul

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Small Sample Equivalence Tests for Exponentiality, Robert L. Paige and Renren Zhao

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

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Individual Preferences for Mineral Resource Development: Perspectives from an Urban Population in the United States, Sisi Que, Kwame Awuah-Offei, Liang Wang, V. A. Samaranayake, and Nathan W. Weidner

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Iron Phosphate Glass Waste Forms for Vitrifying Hanford AZ102 Low Activity Waste (LAW), Part II: Property-Composition Model, C. S. Ray, V. A. Samaranayake, Ali Mohammadkhah, Thomas E. Day, and D. E. Day

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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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Dynamics of Paramagnetic and Ferromagnetic Ellipsoidal Particles in Shear Flow under a Uniform Magnetic Field, Christopher A. Sobecki, Jie Zhang, Yanzhi Zhang, and Cheng Wang

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Boundary Control of 2-D Burgers' PDE: An Adaptive Dynamic Programming Approach, Behzad Talaei, Jagannathan Sarangapani, and John R. Singler

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Boundary Control of Linear Uncertain 1-D Parabolic PDE using Approximate Dynamic Programming, Behzad Talaei, Jagannathan Sarangapani, and John R. Singler

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Output Feedback-Based Boundary Control of Uncertain Coupled Semilinear Parabolic PDE using Neurodynamic Programming, Behzad Talaei, Jagannathan Sarangapani, and John R. Singler

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A Functional Data Analysis Approach to Traffic Volume Forecasting, Isaac Michael Wagner-Muns, Ivan G. Guardiola, V. A. Samaranayke, and Wasim Irshad Kayani

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Phytoforensics: Trees as Bioindicators of Potential Indoor Exposure Via Vapor Intrusion, Jordan L. Wilson, V. A. Samaranayake, Matt A. Limmer, and Joel Gerard Burken

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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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De-Biasing Covariance-Regularized Discriminant Analysis, Haoyi Xiong, Wei Cheng, Yanjie Fu, Wenqing Hu, Jiang Bian, and Zhishan Guo

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Linear, Second Order and Unconditionally Energy Stable Schemes for the Viscous Cahn-Hilliard Equation with Hyperbolic Relaxation using the Invariant Energy Quadratization Method, Xiaofeng Yang, Jia Zhao, and Xiaoming He

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Numerical Investigation of Dynamics of Elliptical Magnetic Microparticles in Shear Flows, Jie Zhang, Christopher A. Sobecki, Yanzhi Zhang, and Cheng Wang

Submissions from 2017

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Stationary Acceleration of Frenet Curves, Nemat Abazari, Martin Bohner, Ilgin Sager, and Yusuf Yayli

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T-Closed Sets, Hussam Abobaker and W. J. Charatonik

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Dynamic Shum Inequalities, Ravi P. Agarwal, Martin Bohner, Donal O'regan, and Samir Saker

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Limiting Behaviors of Nonoscillatory Solutions for Two-Dimensional Nonlinear Time Scale Systems, Elvan Akin and Ozkan Ozturk

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Representation Space with Confluent Mappings, Jose G. Anaya, Felix Capulin, Enrique Castaneda-Alvarado, W. J. Charatonik, and Fernando Orozco-Zitli

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Three Dimensional Phase-Field Investigation of Droplet Formation in Microfluidic Flow Focusing Devices with Experimental Validation, F. Bai, Xiaoming He, X. Yang, R. Zhou, and Cheng Wang

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The Bessel Difference Equation, Martin Bohner and Tom Cuchta

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Oscillation Criteria for Third-Order Nonlinear Functional Difference Equations with Damping, Martin Bohner, C. Dharuman, R. Srinivasan, and Ethiraju Thandapani

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Asymptotic Behaviour of Solutions of Rational Difference Systems, Martin Bohner and Svetlin G. Georgiev

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Multivariable Dynamic Calculus on Time Scales, Martin Bohner and Svetlin G. Georgiev

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

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Existence of Three Solutions for Impulsive Multi-Point Boundary Value Problems, Martin Bohner, Shapour Heidarkhani, Amjad Salari, and Giuseppe Caristi

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Pontryagin's Maximum Principle for Dynamic Systems on Time Scales, Martin Bohner, Kenzhegaly Kenzhebaev, Olga Lavrova, and Oleksandr Stanzhytskyi

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Impulsive Control Functional Differential Systems of Fractional Order: Stability with Respect to Manifolds, Martin Bohner, Ivanka M. Stamova, and Gani Stamov

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The Second Cushing-Henson Conjecture for the Beverton-Holt q-Difference Equation, Martin Bohner and Sabrina H. Streipert