Section Editors

Section Board for 'Difference and Differential Equations' (69)

Please see the section webpage for more information on this section.

Prof. Dr. Alberto Cabada
Website
Section Editor-in-Chief
Departamento de Estatística, Análise Matemática e Optimización, Instituto de Matemáticas, Universidade de Santiago de Compostela, Galicia, Spain
Interests: ordinary differential equations; boundary value problems; Green's functions; comparison results; nonlinear analysis
Special Issues and Collections in MDPI journals
Prof. Dr. Hongyu LIU
Website
Department of Mathematics, City University of Hong Kong, Hong Kong, China
Interests: inverse problems; wave imaging; analysis and PDEs; mathematical materials science; scattering and spectral theory; numerical analysis and scientific computing
Prof. Dr. Junjie Wei
Website
Department of Mathematics, Harbin Institute of Technology, Weihai 264209, China
Interests: delay differential equation; reaction-diffusion equation with delay; bifurcation; stability
Prof. Dr. Simone Secchi
Website
Dipartimento di Matematica ed Applicazioni, Università di Milano-Bicocca, I-20125 MILANO, Italy
Interests: Mathematical Analysis; Pure Mathematics; Functional Analysis; Nonlinear differential equations
Prof. Dr. William E. Fitzgibbon
Website
Department of Mathematics, University of Houston, Houston, TX 77004, USA
Interests: systems of nonlinear partial differential equations; reaction diffusion systems; mathematical models in epidemiology and ecology
Prof. Dr. Sergey Aleksandrovich Kashchenko
Website
Centre of Integrable Systems, P.G. Demidov Yaroslavl State University, 150000 Sovetskaya, Russia
Interests: Dynamics; Nonlinear Analysis; Nonlinear Dynamics; Stability Analysis; Differential Equations
Dr. Riccardo Fazio
Website
Department of Mathematics, Computer Science, PhysicalSciences and Earth Sciences, University of Messina, Viale F. StagnoD’Alcontres 31, 98166 Messina, Italy
Interests: Numerical Analysis; Numerical methods for ODEs and PDEs
Prof. Dr. Maria Stella Fanciullo
Website
Department of Mathematics and Computer Sciences, University of Catania, 95125 Catania, Italy
Interests: Partial Differential Equations; mathematical analysis
Prof. Dr. Sergey Shmarev
Website
Mathematics Department, University of Oviedo, c/Federico García Lorca 18, 33007 Oviedo, Spain
Interests: partial differential equations; nonlinear elliptic and parabolic equations; equations with nonstandard growth; free boundary problems
Prof. Dr. Maria Santos Bruzón Gallego
Website
Department of Mathematics, University of Cádiz, 11510 Cádiz, Spain
Interests: group analysis; methods of group transformation: classical symmetries; nonclassical methods; direct methods and conservation laws applied to ordinary differential equations; partial differential equations and systems of partial differential equations
Special Issues and Collections in MDPI journals
Prof. Dr. Yuri Kondratiev
Website
Department of Mathematics, University of Bielefeld, D-33615 Bielefeld, Germany
Interests: functional analysis; mathematical physics; stochastics
Prof. Dr. José M. González Vida
Website
Dpt. Applied Mathematics. Escuela de Ingenierías Industriales. Universidad de Málaga Campus de Teatinos s/n, 29080 Málaga, Spain
Interests: mathematics; numerical analysis; hyperbolic systems; geophysical applications; numerical models
Prof. Dr. Mariano Torrisi
Website
Dipartimento di Matematica e Informatica, University of Catania, 95128 Catania, Italy
Interests: group methods for nonlinear differential equations (both ODEs and PDEs); reduction techniques for the search of exact solutions of PDEs; applications of the group methods to reaction diffusion models, such as nonlinear governing equations modeling population dynamics and biomathematical problems; nonlinear diffusion and propagation of heat
Special Issues and Collections in MDPI journals
Prof. Dr. Alberto Ferrero
Website
Dipartimento di Scienze e Innovazione Tecnologica, Università degli Studi del Piemonte Orientale “Amedeo Avogadro”, 6 - 13100 Vercelli, Italy
Interests: elliptic partial differential equations; nonlinear partial differential equations; shape optimization problems; higher order elliptic problems; nonlinear elliptic equations on riemannian manifolds; higher order wave equations and applications to models for suspension bridges
Prof. Dr. Gioconda Moscariello
Website
Dipartimento di Matematica e Applicazioni "R. Caccioppoli", Università degli Studi di Napoli "Federico II", Via Cintia, 80126 Naples, Italy
Interests: calculus of variations; partial differential equations
Prof. Dr. Konstantinas Pileckas

Institute of Applied Mathematics, Vilnius University, 03225 Vilnius, Lithuania
Interests: elliptical and parabolic equations; Navier-Stokes equations; theoretical hydrodynamics; function theory; vector analysis
Prof. Dr. Carmen Chicone
Website
1. Department of Chemistry, Missouri University of Science and Technology, Rolla, MO 65409, USA
2. Department of Chemistry, University of Missouri, Columbia, MO 65211, USA
Interests: dynamical systems; differential equations; mathematical physics; applied mathematics
Prof. Dr. Lev B. Ryashko
Website
Institute of Mathematics and Computer Sciences, Ural Federal University, Ekaterinburg 620000, Russia
Interests: nonlinear dynamics; noise-induced phenomena; stochastic analysis; complex oscillations; chaos
Prof. Dr. Nicholas D. Alikakos

Department of Mathematics, University of Athens, GR-15784 Athens, Greece
Interests: analysis; PDEs; dynamics; geometric analysis
Prof. Dr. Alberto Fiorenza
Website
1. Dipartimento di Architettura, Università di Napoli Federico II, Via Monteoliveto, 3, I-80134 Napoli, Italy
2. Istituto per le Applicazioni del Calcolo “Mauro Picone”, sezione di Napoli, Consiglio Nazionale delle Ricerche, via Pietro Castellino, 111, I-80131 Napoli, Italy
Interests: mathematical analysis; functional analysis; fourier analysis
Prof. Dr. Leonid Piterbarg
Website
Department of Mathematics, University of Southern California, 90089 Los Angeles, CA, United States
Interests: Stochastic differential and partial differential equations and their applications; Interpolation and extrapolation of random fields; Physical processes in random media; Median filtering of random processes and fields; Estimating parameters in SDEs and SPDEs
Special Issues and Collections in MDPI journals
Prof. Dr. Tijun Xiao
Website
School of Mathematical Sciences, Fudan University, Shanghai 200433, China
Interests: applied partial differential equations; nonlinear analysis; control theory
Prof. Dr. Andrey Amosov
Website
Department of mathematical and computer modelling, National Research University "Moscow Power Engineering Institute", Moscow 111250, Russia
Interests: mathematical physics equations; nonlinear boundary value problems; week solutions; mathematical theory of radiative-conductive heat exchange problems, numerical analysis; homogenization; projection methods
Special Issues and Collections in MDPI journals
Prof. Dr. Gennadii Demidenko
Website
1. Sobolev Institute of Mathematics, Acad. Koptyug avenue 4, 630090 Novosibirsk, Russia
2. Novosibirsk State University, Pirogova str. 1, 630090 Novosibirsk, Russia
Interests: partial differential equations; ordinary differential equations; difference equations; delay equations; mathematical analysis
Prof. Dr. Stepan Tersian
Website
Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, 1113 Sofia, Bulgaria
Interests: mathematical analysis; Differential equations; Optimization
Prof. Dr. Giuseppe Di Fazio
Website
Full Professor in Mathematical Analysis at University of Catania, 95125 Catania, Italy
Interests: Partial differential equations; Mathematical Analysis
Prof. Dr. Rathinasamy Sakthivel
grade Website
Department of Applied Mathematics, Bharathiar University, Coimbatore –641046, India
Interests: Control Theory; Robust control; Stability; Exact solutions of PDEs
Prof. Dr. Nickolai Kosmatov
Website
Department of Mathematics and Statistics, University of Arkansas at Little Rock, Little Rock, AR 72204, USA
Interests: differential equations; fractional calculus
Dr. David Barilla
Website
Department of Economics, University of Messina, Messina, 98122, Italy
Interests: optimization theory; game theory; mathematics for economics; variational methods for economics
Special Issues and Collections in MDPI journals
Prof. Dr. Davide La Torre
Website
AI Institute, SKEMA Business School, Université Côte d’Azur, Sophia Antipolis Campus, 60 rue Dostoievski, CS30085, 06902 Sophia Antipolis CEDEX, France
Interests: artificial intelligence; business analytics; machine learning; mathematical and statistical modeling; mathematical economics; mathematical finance; operations research
Prof. Dr. Rolando Magnanini
Website
Dipartimento di Matematica ed Informatica “U. Dini”, Università di Firenze, viale Morgagni 67/A, 50134 Firenze, Italy
Interests: elliptic and parabolic PDEs; geometric properties of solutions; qualitative and quantitative properties of solutions
Dr. Eva Kaslik
Website
Department of Mathematics and Computer Science, West University of Timişoara, 300223 Timişoara, Romania
Interests: dynamical systems, fractional-order differential equation, delay differential equations, mathematical modeling
Special Issues and Collections in MDPI journals
Prof. Dr. Krzysztof Ciepliński
Website
Faculty of Applied Mathematics, AGH University of Science and Technology, Mickiewicza 30, 30-059 Krakow, Poland
Interests: ulam stability; functional equations and inequalities; dynamical systems; difference equations; fixed point theory
Dr. Krzysztof Kamil Żur
Website
Faculty of Mechanical Engineering, Bialystok University of Technology, Bialystok 15-351, Poland
Interests: applied mathematics; linear and non-linear mechanics of composite structures at macro, micro, and nano scale; non-local continuum mechanics; smart materials and structures; composite materials
Special Issues and Collections in MDPI journals
Prof. Dr. Stanisław Migórski
Website
Faculty of Mathematics and Computer Science, Jagiellonian University, 30348 Krakow, Poland
Interests: differential equations; nonlinear functional analysis; methods and techniques of nonlinear analysis; calculus of variations; control theory; identification; homogenization; mathematical modeling of physical systems; applications of PDEs to problems of mechanics
Dr. Mehdi Salimi
Website
Center for Dynamics, Faculty of Mathematics, Technische Universität Dresden, 01069 Dresden, Germany
Interests: game theory; differential games; pursuit-evasion differential games; numerical analysis (root findings); probabilistic normed spaces
Dr. Zacharias A. Anastassi
Website
Institute of Artificial Intelligence, School of Computer Science and Informatics, De Montfort University, Leicester LE1 9BH, UK
Interests: Numerical analysis of differential equations; oscillatory/periodic initial/boundary value problems; computational physics
Prof. Dr. Fernando Casas
Website
Institut Universitari de Matemàtiques i Aplicacions de Castelló (IMAC), Departament de Matemàtiques, Universitat Jaume I, 12071 Castellón, Spain
Interests: numerical analysis of differential equations; geometric numerical integration
Prof. Dr. Cristina Pignotti
Website
Department of Information Engineering, Computer Science and Mathematics, University of L'Aquila, Via Vetoio, Loc. Coppito, 67010 L’Aquila, Italy
Interests: control theory; evolution equations; delay equations; stabilization; modeling
Prof. Dr. Higinio Ramos
Website
Scientific Computing Group, Universidad de Salamanca, Plaza de la Merced Salamanca 37008, Spain
Interests: numerical solution of differential equations; numerical analysis
Special Issues and Collections in MDPI journals
Prof. Dr. Maria Luz Gandarias
Website
Department of Mathematics, Cádiz University, 11003 Cádiz, Spain
Interests: symmetry methods; applications for differential equations
Special Issues and Collections in MDPI journals
Dr. Ioannis Dassios
Website
School of Electrical and Electronic Engineering, University College Dublin, D04 Dublin, Ireland
Interests: differential/difference equations; dynamical systems; modelling and stability analysis of electric power systems; mathematics of networks; fractional calculus; mathematical modelling (power systems, materials science, energy, macroeconomics, social media, etc.); optimization for the analysis of large-scale data sets; fluid mechanics; discrete calculus; Bayes control; e-learning
Special Issues and Collections in MDPI journals
Dr. Marianito Rodrigo
Website
School of Mathematics and Applied Statistics, University of Wollongong, Wollongong, NSW 2522, Australia
Interests: mathematical biology; financial mathematics; forensic medicine; fractional calculus; ordinary and partial differential equations
Special Issues and Collections in MDPI journals
Prof. Dr. Igor Podlubny
Website1 Website2
BERG Faculty, Technical University of Kosice, B. Nemcovej 3, 04200 Kosice, Slovakia
Interests: fractional calculus; fractional differential equations; fractals; mathematical modeling; control theory
Prof. Dr. Janusz Brzdęk
Website
Faculty of Applied Mathematics, AGH University of Science and Technology, leja Adama Mickiewicza 30, 30-059 Kraków, Poland
Interests: mathematics; functional equations and inequalities; Ulam's type stability; fixed point theory
Special Issues and Collections in MDPI journals
Prof. Dr. Sergio Blanes
Website
Instituto de Matemática Multidisciplinar, Universitat Politècnica de València, E–46022 Valencia, Spain
Interests: Geometric Numerical Integration; Numerical Analysis; Numerical Methods for Differential Equations
Prof. Dr. Jan L. Cieśliński
Website
Faculty of Physics, University of Białystok, 15-328 Białystok, Poland
Interests: integrable systems; solitons; differential and difference equations; time scales; geometric numerical integration; differential and discrete geometry; Lie symmetries; Clifford algebras; numerical approximation of elementary functions
Special Issues and Collections in MDPI journals
Prof. Dr. Ferenc Hartung
Website
Department of Mathematics, University of Pannonia, H-8201 Veszprém, POB 158, Egyetem u. 10., Hungary
Interests: functional differential equations; state-dependent delays; numerical approximation
Special Issues and Collections in MDPI journals
Prof. Dr. Ruggieri Marianna
Website1 Website2
Faculty of Engineering and Architecture, University of Enna “KORE”, 94100 Enna, Italy
Interests: differential equation; symmetries; conservation laws
Special Issues and Collections in MDPI journals
Prof. Dr. Beny Neta
Website
Naval Postgraduate School, Department of Applied Mathematics, Monterey, CA 93943, USA
Interests: Numerical solution of nonlinear equations (algebraic, differential, and integro-differential)
Dr. Christopher Goodrich
grade Website
School of Mathematics and Statistics, UNSW 2052, Sydney, Australia
Interests: Regularity Theory in the Calculus of Variations; Nonlocal Differential Equations; Nonlocal Boundary Value Problems; Discrete Fractional Calculus; Fixed Point Theory
Prof. Dr. Mihai Mihailescu
Website
Department of Mathematics, University of Craiova, 200585 Craiova, Romania
Interests: Partial Differential Equations; Calculus of Variations
Prof. Dr. Sotiris K. Ntouyas
grade Website
Department of Mathematics, University of Ioannina, 451 10 Ioannina, Greece
Interests: initial and boundary value problems for differential equations and inclusions; inequalities
Special Issues and Collections in MDPI journals
Prof. Dr. Zhaosheng Feng
Website
School of Mathematical and Statistical Sciences, University of Texas-Rio Grande Valley, Edinburg, TX 78539, USA
Interests: analysis on differential equations (odes and pdes); dynamical systems; computational methods; mathematical physics and mathematical biology
Prof. Dr. Donal O'Regan
grade Website
School of Mathematics, Statistics and Applied Mathematics, National University of Ireland, University Road, H91 CF50 Galway, Ireland
Interests: integral equations in Banach spaces; groups and semigroups of linear operators; qualitative theory of discrete and continuous evolution equations in Banach spaces; Hyers–Ulam stability and its connections with exponential dichotomy; long time behavior for solutions of abstract Cauchy problems in Banach spaces; fixed point theory and its application
Special Issues and Collections in MDPI journals
Prof. Dr. Yuri Luchko
Website
Department of Mathematics, Physics, and Chemistry, Beuth University of Applied Sciences Berlin, Luxemburger Str. 10, 13353 Berlin, Germany
Interests: fractional calculus; ordinary and partial fractional differential equations; mathematical modelling with fractional calculus models; fractional anomalous diffusion and wave propagation; integral transforms and special functions in fractional calculus
Special Issues and Collections in MDPI journals
Prof. Dr. Christine Böckmann
Website
Institut für Mathematik, Universität Potsdam, Karl-Liebknecht-Str. 24-25, D-14476 Potsdam OT Golm, Germany
Interests: Numerical and applied mathematics; linear and nonlinear inverse ill-posed problems; regularization methods; numerical methods for inverse Sturm-Liouville problems; applications in atmospheric physics
Special Issues and Collections in MDPI journals
Prof. Dr. Dumitru Baleanu
grade Website
1. Institute of Space Sciences, P.O. BOX MG-23, RO-077125 Magurele-Bucharest, Romania;
2. Department of Mathematics, Cankaya University, Ankara 06530, Turkey
Interests: fractional dynamics; fractional differential equations; discrete mathematics; fractals; image processing; bio-informatics; mathematical biology; soliton theory; Lie symmetry; dynamic systems on time scales; computational complexity; the wavelet method
Special Issues and Collections in MDPI journals
Prof. Dr. Martin Bohner
Website
Department of Mathematics and Statistics, Missouri University of Science and Technology, Rolla, MO 65409, USA
Interests: Hamiltonian systems; Sturm–Liouville equations; boundary value problems; difference equations; variational analysis; control theory; optimization; dynamical systems; oscillation; fractional differentiation equations; positivity; matrix analysis; eigenvalue problems; computational mathematics; time scales
Special Issues and Collections in MDPI journals
Prof. Dr. Gui-Qiang G. Chen
Website
Mathematical Institute, University of Oxford, Andrew Wiles Building, Radcliffe Observatory Quarter, Woodstock Road, Oxford, OX2 6GG, UK
Interests: partial differential equations; conservation laws; nonlinear analysis; numerical analysis
Prof. Dr. Ivo Petráš
Website
Institute of Control and Informatization of Production Processes, BERG Faculty, Technical University of Košice, B. Němcovej 3, 042 00 Košice, Slovakia
Interests: fractional calculus and its applications; dynamical systems; chaos theory; control theory; mathematical modelling; simulations; process control; automation; signal processing
Special Issues and Collections in MDPI journals
Dr. Andrea Scapellato
Website
Dipartimento di Matematica e Informatica, Università degli Studi di Catania, Viale Andrea Doria 6, 95125 Catania, Italy
Interests: Partial differential equations (regularity and existence theory, qualitative properties of the solutions); function spaces (e.g. Morrey-type spaces, function spaces with variable exponents, generalized function spaces, anisotropic function spaces) and their applications; integral operators; variational methods; nonlinear regularity theory; critical point theory; Morse theory and critical groups; mathematical modeling; ordinary differential equations and partial differential equations in the Applied Sciences (Physics, Biology, Ecology, Environmental Sciences, Engineering)
Special Issues and Collections in MDPI journals
Prof. Dr. Hari Mohan Srivastava
grade Website
Department of Mathematics and Statistics, University of Victoria, Victoria, BC V8W 3R4, Canada
Interests: real and complex analysis; fractional calculus and its applications; integral equations and transforms; higher transcendental functions and their applications; q-series and q-polynomials; analytic number theory; analytic and geometric Inequalities; probability and statistics; inventory modelling and optimization
Special Issues and Collections in MDPI journals
Special Issue in Axioms: q-Series and Related Topics in Special Functions and Analytic Number Theory
Special Issue in Mathematics: Recent Advances in Fractional Calculus and Its Applications
Special Issue in Mathematics: Recent Developments in the Theory and Applications of Fractional Calculus
Special Issue in Mathematics: Operators of Fractional Calculus and Their Applications
Special Issue in Axioms: Mathematical Analysis and Applications
Special Issue in Symmetry: Integral Transforms and Operational Calculus
Special Issue in Mathematics: Fractional-Order Integral and Derivative Operators and Their Applications
Special Issue in Axioms: Mathematical Analysis and Applications II
Special Issue in Symmetry: Integral Transformations, Operational Calculus and Their Applications
Special Issue in Symmetry: Recent Advances in Social Data and Artificial Intelligence 2019
Topical Collection in Axioms: Mathematical Analysis and Applications
Special Issue in Mathematics: Selected Papers from 2020 Asia-Pacific Conference on Applied Mathematics and Statistics
Special Issue in Symmetry: Integral Transformation, Operational Calculus and Their Applications
Special Issue in Mathematics: Higher Transcendental Functions and Their Multi­-Disciplinary Applications
Special Issue in Journal of Risk and Financial Management: Sustainable Mathematical Modelling in Business Analysis
Special Issue in Axioms: Mathematical Tools and Techniques Applicable to Probability Theory and Statistics
Special Issue in Fractal and Fractional: Operators of Fractional Calculus and Their Multi-Disciplinary Applications
Special Issue in Fractal and Fractional: Advanced trends of Special functions and analysis of PDEs
Prof. Dr. Lei Ni
Website
Department of Mathematics UCSD, Building AP&M, 5250, La Jolla, CA 92093, USA
Interests: differential (complex) geometry and partial differential equation (complex analysis)
Prof. Dr. YanYan Li
Website
Department of Mathematics, Hill 702, Rutgers University, 110 Frelinghuysen Road, Piscataway, NJ 08854, USA
Interests: partial differential equations and its applications; geometric analysis
Prof. Dr. Ravi P. Agarwal
grade Website
Department of Mathematics, Texas A and M University-Kingsville, Texas 78363, USA
Interests: nonlinear analysis; differential and difference equations; fixed point theory; general inequalities
Special Issues and Collections in MDPI journals
Prof. Dr. George E. Chatzarakis
Website
Department of Electrical and Electronic Engineering Educators, School of Pedagogical and Technological Education (ASPETE), Marousi 15122, Greece
Interests: oscillation theory of differential and difference equations; mathematical analysis
Dr. Ivanka Stamova
Website
Back to TopTop