Difference and Differential Equations
A section of Mathematics (ISSN 2227-7390).
Section Information
Difference and Differential Equations is a section of the open access peer-reviewed journal Mathematics, which publishes high quality works on this subject and its applications in mathematics, computation, and engineering.
The primary aim of Difference and Differential Equations is the publication and dissemination of relevant mathematical works in this discipline.
Both Difference and Differential Equations represent fundamental subjects in mathematics. This section of Mathematics publishes original research papers, perspectives papers, and review papers on all aspects of this matter. Both qualitative and qualitative theories of ordinary and partial differential equations, along with the existence, multiplicity, and stability of difference equations coupled to dynamic systems are especially welcome.
Topics of interest include, but are not limited to, boundary value problems on finite or infinite intervals, comparison results, asymptotic behavior of the solutions, linearization methods, spectral theory, non-local problems, inverse problems, delay equations, functional equations, stochastic differential equations, numerical approach, and chaotic behavior. The study of mathematical models applied to physics, economy, or medicine represents one of the main goals of the section. All papers are peer-reviewed.
Prof. Dr. Alberto Cabada
Section Editor-in-Chief
Keywords
Basic theories about difference and differential equations:
- difference equations
- differential equations
- delay differential equation
- ordinary differential equations
- partial differential equations
- stochastic differential equations
- stochastic equations
- discrete and continuous dynamical systems
- dynamics and differential equations
- elliptic and parabolic equations
- evolution equations and control theory
- fractional calculus
- fractional differential equation
- function spaces
- functional equations
- mathematical inequalities
- integral equations
- integral transforms and special functions
- inverse and ill-posed problems
- linearization methods
- nonlinear analysis
- nonlinear analysis, modelling and control
- nonlinear differential equations
- nonlinear dynamics
- non-local problems
- boundary value problems
- calculus of variations
- chaos
- chaotic behavior
- existence
- heteroclinic
- homoclinic
- mathematical modeling
- maximum principles
- pseudo-differential operators and applications
- qualitative theory of differential equations
- spectral theory
- stability
Differential and difference equations, and related applications:
- functional analysis and its applications
- inequalities and applications
- integral equations and applications
- nonlinear analysis, theory, methods, applications
- nonlinear sciences and numerical simulation
- numerical algorithms
- numerical analysis and modeling
- numerical approaches
- asymptotic behavior
- asymptotic behavior of the solutions
- computational methods and function theory
- multiplicity
Editorial Board
Topical Advisory Panel
Special Issues
Following special issues within this section are currently open for submissions:
- Abstract Fractional Integro-Differential Equations and Fixed Point Theory with Applications (Deadline: 31 May 2023)
- Recent Advances in Theoretical and Numerical Analysis for Fractional and Integral Differential Equations (Deadline: 16 June 2023)
- Completely Integrable Equations: Algebraic Aspects and Applications (Deadline: 30 June 2023)
- Stability Analysis of Fractional Systems-II (Deadline: 30 June 2023)
- Theory and Applications of Fractional Equations and Calculus (Deadline: 30 June 2023)
- Functional Differential Equations: Theory and Applications–Dedicated to the Memory of Nikolay V. Azbelev on the Occasion of His 100th Birthday Anniversary (Deadline: 30 June 2023)
- Differential Equation Models in Applied Mathematics: Theoretical and Numerical Challenges-II (Deadline: 15 July 2023)
- Asymptotic Methods and Homogenization: Theory and Applications (Deadline: 15 July 2023)
- Nonlinear Equations: Theory, Methods, and Applications III (Deadline: 20 July 2023)
- Nonlocal Linearization and Nonlocal Symmetries of Differential Equations (Deadline: 31 July 2023)
- Applications of Harmonic Analysis, Fourier Analysis, Differential Equation and Related Classical and Modern Analysis (Deadline: 31 July 2023)
- Partial Differential Equation Theory and Its Applications (Deadline: 8 August 2023)
- Fractional Differential Equations: Theory and Application (Deadline: 15 August 2023)
- Q-differential/Difference Equations and Related Applications (Deadline: 20 August 2023)
- Orthogonal Polynomials and Special Functions-II (Deadline: 31 August 2023)
- Fractional Differential Equations, Inclusions and Inequalities with Applications II (Deadline: 31 August 2023)
- Advances in Differential and Difference Equations with Applications 2023 (Deadline: 31 August 2023)
- Recent Advances in Chaos, Fractal and Complex Dynamics in Nonlinear Systems (Deadline: 31 August 2023)
- Modern Analysis and Partial Differential Equations, 2nd Edition (Deadline: 31 August 2023)
- Advances in Approximation Theory and Numerical Functional Analysis (Deadline: 31 August 2023)
- Ellipticity: Theory and Applications (Deadline: 20 September 2023)
- Advances in Integral Equations and Transforms: Theory and Applications in Science and Engineering (Deadline: 30 September 2023)
- Nonlinear Elliptic and Parabolic Differential Equations (Deadline: 30 September 2023)
- Dynamical System and Stochastic Analysis (Deadline: 30 September 2023)
- Mathematical Problems in Chemical Physics (Deadline: 30 September 2023)
- Quantitative Finance and Stochastic Volatility with Their Numerical Models (Deadline: 15 October 2023)
- PDEs and Deep Learning (Deadline: 20 October 2023)
- Fractional Dynamical Systems and Its Applications in Science and Engineering (Deadline: 31 October 2023)
- Mathematical Methods and Models in Nature and Society (Deadline: 31 October 2023)
- Advances in Functional Equations and Convex Analysis (Deadline: 31 October 2023)
- Numerical Approaches for Solving Nonlinear Equations and Systems (Deadline: 31 October 2023)
- Diffusion Equations and Models with Applications (Deadline: 31 October 2023)
- Differential and Integro–Differential Equations: Theory and Applications (Deadline: 20 November 2023)
- Convolution Equations: Theory, Numerical Methods and Applications (Deadline: 30 November 2023)
- Functional Differential Equations and Epidemiological Modelling, 2nd Edition (Deadline: 30 November 2023)
- Direct and Inverse Spectral Problems for Ordinary Differential and Functional-Differential Operators (Deadline: 30 November 2023)
- Qualitative Analysis of Differential Equations: Theory and Applications (Deadline: 30 November 2023)
- Differential Equations and Stochastic Processes: Trends and Challenges (Deadline: 30 November 2023)
- Mathematical Inequalities, Models and Applications (Deadline: 30 November 2023)
- Generalized Fractional Dynamics in Graphs and Complex Systems (Deadline: 30 November 2023)
- Advances in Differential Analysis and Functional Analysis (Deadline: 1 December 2023)
- Advances and Novel Analytical Approaches to Boundary Value Problems in Engineering Sciences (Deadline: 20 December 2023)
- New Advance of High-Dimensional Nonlinear Partial Differential Equations (Deadline: 20 December 2023)
- Mathematical Modeling with Differential Equations in Biology, Chemistry, Economics, Finance and Physics, Volume 2 (Deadline: 31 December 2023)
- Advances in Nonlinear Analysis, Analytic Number Theory, and Mathematical Inequalities (Deadline: 31 December 2023)
- New Trends in Special Functions and Applications (Deadline: 31 December 2023)
- New Trends on Boundary Value Problems (Deadline: 31 December 2023)
- Fourier Analysis, Approximation Theory and Applications (Deadline: 23 January 2024)
- Numerical Methods for Solving Differential Problems-II (Deadline: 31 January 2024)
- Applications of Partial Differential Equations (Deadline: 31 January 2024)
- Differential Equations in Decision Making (Deadline: 31 January 2024)
- Advances in Nonlinear Dynamical Systems and Control (Deadline: 31 January 2024)
- Numerical Methods for Differential Equations and Applications (Deadline: 29 February 2024)
- Solutions of Integrable PDEs: Solving, Properties and Applications (Deadline: 29 February 2024)
- Advances in Nonlinear Analysis and Control (Deadline: 29 February 2024)
- Theory and Applications of Numerical Analysis (Deadline: 29 February 2024)
- Fractional Functional Analysis and Applications (Deadline: 29 February 2024)
- Recent Research on Fractional Calculus: Theory and Applications (Deadline: 31 March 2024)
- Research Trends and Challenges in the Theory of Nonlinear Analysis and Its Applications (Deadline: 31 March 2024)
- Infinite Dimensional Dynamical System and Differential Equations (Deadline: 31 March 2024)
- Boundary Value Problems, Dynamical Systems and Inverse Spectral Problems (Deadline: 31 March 2024)
- Recent Advances in Spatio-Temporal Dynamics of Differential Equations (Deadline: 31 March 2024)
- Mathematical Modeling, Asymptotic Analysis and Stability of Solutions of Nonlinear Dynamical Systems (Deadline: 15 April 2024)