C1: 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.
“Difference and Differential Equations” represents 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, the 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 this 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, modeling, 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:
- New Trends in Nonlinear Waves (Deadline: 31 May 2026)
- Advanced Theoretical and Numerical Methods for Fractional Differential and Difference Equations (Deadline: 31 May 2026)
- Recent Developments in Numerical Methods for Partial Differential Equations (Deadline: 31 May 2026)
- Theory and Applications of Differential Equations and Dynamical Systems (Deadline: 31 May 2026)
- Theory and Applications of Fractional Models (Deadline: 20 June 2026)
- Analysis, Optimization, and Control in Partial Differential Equations (Deadline: 30 June 2026)
- Recent Developments in Partial Differential Equations and Their Applications (Deadline: 30 June 2026)
- Stochastic Differential Equations and Applications (Deadline: 30 June 2026)
- Stability Analysis of Fractional Systems, 3rd Edition (Deadline: 30 June 2026)
- Differential Equations Applied in Fluid Dynamics (Deadline: 30 June 2026)
- Research on Applied Partial Differential Equations (Deadline: 30 June 2026)
- Advances in Functional Differential Equations and Their Stochastic Versions: Theory, Numerics, and Applications (Deadline: 31 July 2026)
- Advances in Stochastic Differential Equations and Applications (Deadline: 31 July 2026)
- Nonlinear Evolution Equations and Their Solutions (Deadline: 31 July 2026)
- Research on Delay Differential Equations and Their Applications (Deadline: 20 August 2026)
- Advances in Partial Differential Equations and Functional Analysis (Deadline: 31 August 2026)
- Recent Advances in Dynamic Equations on Time Scales (Deadline: 31 August 2026)
- Research on Dynamical Systems and Differential Equations, 2nd Edition (Deadline: 31 August 2026)
- Numerical Methods and Analysis for Partial Differential Equations (Deadline: 31 August 2026)
- Differential Equations and Eigenvalue Problems with Application (Deadline: 15 September 2026)
- Recent Studies on Partial Differential Equations and Its Applications (Deadline: 30 September 2026)
- Advances in Fractional Differential Equations and Applications (Deadline: 30 September 2026)
- Applications of Partial Differential Equations, 3rd Edition (Deadline: 30 September 2026)
- Dynamical Systems & Partial Differential Equations (Deadline: 30 September 2026)
- Applications of Differential Equations for Mathematical Modelling in Engineering (Deadline: 31 October 2026)
- Recent Investigations of Differential and Fractional Equations and Inclusions, 3rd Edition (Deadline: 31 October 2026)
- Stability and Stabilization of Partial Differential Equations (Deadline: 31 October 2026)
- Advances in the Research on Solutions of Impulsive Differential Equations (Deadline: 31 October 2026)
- New Advances in Hamiltonian Dynamical Systems and Applications (Deadline: 31 October 2026)
- Numerical Analysis of Partial Differential Equations and Their Application (Deadline: 30 November 2026)
- Advances in Nonlinear Differential Equations with Applications (Deadline: 30 November 2026)
- Theoretical and Computational Fluid Mechanics and Heat Transfer (Deadline: 30 November 2026)
- Partial Differential Equations in Applied Mathematics (Deadline: 30 November 2026)
- Recent Advances in Fractal and Fractional Calculus (Deadline: 30 November 2026)
- Fractional Differential Equations, Inclusions and Inequalities with Applications: 3rd Edition (Deadline: 31 December 2026)
- Analytical and Numerical Methods for Solving Differential Equations and Optimization Problems (Deadline: 31 December 2026)
- Advances in Dynamical Systems, Differential Equations, and Their Applications, 2nd Edition (Deadline: 31 December 2026)
- Partial Differential Equations with Applications: Analytical Methods, 2nd Edition (Deadline: 31 December 2026)
- Dynamical System and Stochastic Analysis, 2nd Edition (Deadline: 31 December 2026)
- Numerical Methods for Linear PDEs and Applications (Deadline: 31 December 2026)
- Theory and Application of Difference and Differential Equations in Life Sciences (Deadline: 31 January 2027)
- Variational Analysis, Optimization, and Equilibrium Problems (Deadline: 31 January 2027)
- Analytical Methods and Qualitative Analysis for Differential Equations, 2nd Edition (Deadline: 31 January 2027)
- Advances in Analysis and Numerical Computation of Partial Differential Equations (Deadline: 31 January 2027)
- Differential Equations and Stability in Dynamical Systems: Theory, Methods and Applications (Deadline: 28 February 2027)
- Advanced Research in Functional Analysis and Operator Theory, 2nd Edition (Deadline: 28 February 2027)
- Fractional and Classical Differential Equations: Theory, Stability, and Applications (Deadline: 28 February 2027)
