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.
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:
- Recent Research on Fractional Calculus: Theory and Applications (Deadline: 31 March 2024)
- Mathematical Methods and Models in Nature and Society (Deadline: 31 March 2024)
- Applications of Differential and Algebraic Geometry (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)
- Nonlocal Linearization and Nonlocal Symmetries of Differential Equations (Deadline: 30 April 2024)
- Completely Integrable Equations: Algebraic Aspects and Applications (Deadline: 30 April 2024)
- Generalized Continuum Models and Higher-Order Partial Differential Equations (Deadline: 30 April 2024)
- Functional Differential Equations: Theory and Applications, 2nd Edition (Deadline: 30 April 2024)
- Recent Investigations of Differential and Fractional Equations and Inclusions, 3rd Edition (Deadline: 31 May 2024)
- Advances in Differential and Difference Equations and Their Applications (Deadline: 31 May 2024)
- Advances in Approximation Theory and Numerical Functional Analysis (Deadline: 31 May 2024)
- Applications of Partial Differential Equations, 2nd Edition (Deadline: 31 May 2024)
- New Trends on Boundary Value Problems (Deadline: 31 May 2024)
- Advances in Higher-Order Linear Equations and Linear Polynomial Differential Operators (Deadline: 30 June 2024)
- Advances in PDE-Based Models, Artificial Intelligence and Deep Learning (Deadline: 30 June 2024)
- Nonlinear Equations: Theory, Methods, and Applications III (Deadline: 30 June 2024)
- Problems and Methods in Nonlinear Analysis (Deadline: 30 June 2024)
- Advances in Nonlinear Analysis, Analytic Number Theory, and Mathematical Inequalities (Deadline: 30 June 2024)
- Partial Differential Equation Theory and Its Applications (Deadline: 30 June 2024)
- Recent Advances in Theoretical and Numerical Analysis for Fractional and Integral Differential Equations (Deadline: 30 June 2024)
- Qualitative Analysis of Differential Equations: Theory and Applications (Deadline: 30 June 2024)
- Dynamical System and Stochastic Analysis (Deadline: 20 July 2024)
- Quantitative Finance and Stochastic Volatility with Their Numerical Models (Deadline: 31 July 2024)
- Fractional Differential Equations, Inclusions and Inequalities with Applications II (Deadline: 31 July 2024)
- Recent Advances in Complex Dynamics in Non-smooth Systems (Deadline: 31 July 2024)
- Numerical Approaches for Solving Nonlinear Equations and Systems (Deadline: 31 July 2024)
- Research on Dynamical Systems and Differential Equations (Deadline: 31 August 2024)
- Chaotic Systems and Their Applications, 2nd Edition (Deadline: 31 August 2024)
- Advances in Differential Analysis and Functional Analysis (Deadline: 31 August 2024)
- Differential and Integro–Differential Equations: Theory and Applications (Deadline: 31 August 2024)
- The Delay Differential Equations and Their Applications (Deadline: 31 August 2024)
- Diffusion Equations and Models with Applications (Deadline: 31 August 2024)
- Numerical Methods for Differential Equations and Applications (Deadline: 30 September 2024)
- Functional Differential Equations and Epidemiological Modelling, 2nd Edition (Deadline: 30 September 2024)
- Nonlinear Functional Analysis and Applications to Elliptic PDEs (Deadline: 30 September 2024)
- Analysis and Applications of Discontinuous Galerkin Methods in Wave-Propagation Problems (Deadline: 30 September 2024)
- Mathematical Inequalities, Models and Applications, 2nd Edition (Deadline: 31 October 2024)
- Numerical Solution of Differential Equations and Their Applications (Deadline: 31 October 2024)
- Applications of Difference and Differential Equations in Epidemiology (Deadline: 31 October 2024)
- Applications of Differential Equations in Sciences (Deadline: 30 November 2024)
- Differential Equations and Stochastic Processes: Trends and Challenges (Deadline: 30 November 2024)
- Nonlinear Analysis and Application (Deadline: 31 December 2024)
- Advances in Dynamical Systems, Differential Equations, and Their Applications (Deadline: 31 December 2024)
- New Trends in Nonlinear Waves (Deadline: 31 December 2024)
- Mathematical Problems in Chemical Physics (Deadline: 31 December 2024)
- Summability and Convergence Methods (Deadline: 31 January 2025)
- Linear Elliptic PDEs (Deadline: 31 March 2025)