C1: Difference and Differential Equations

“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