Symmetry in Nonlinear Equations: Mathematical Models, Methods and Applications
A special issue of Symmetry (ISSN 2073-8994). This special issue belongs to the section "Mathematics".
Deadline for manuscript submissions: closed (31 October 2021) | Viewed by 30250
Special Issue Editors
2. Department of Mathematics, Faculty of Science, Hadhramout University, Hadhramout 50512, Yemen
Interests: qualitative theory; ordinary differential equations; functional differential equations; dynamical systems; mathematical modeling
Special Issues, Collections and Topics in MDPI journals
Interests: differential equations; partial differential equations; equations of evolution; integral equations; mixed initial-boundary value problems for PDE; termoelasticity; media with microstretch; environments goals; nonlinear problems
Special Issues, Collections and Topics in MDPI journals
Special Issue Information
Dear Colleagues,
Neutral differential equations (NDEs) are differential equations with delays, where the delays can appear in both the state variables and their time derivatives.
Ordinary and partial differential equations are universally recognized as powerful tools to model and solve practical problems involving nonlinear phenomena. In particular, we mention physical processes as problems in elasticity theory, where we deal with composites made of two different materials with different hardening exponents.
Therefore, the theory of differential equations has been successfully applied to establish the existence and multiplicity of solutions of boundary value problems via direct methods, minimax theorems, variational methods, and topological methods. If possible, one looks towards solutions in special forms by using the symmetries of the driving equation. This also leads to the study of the difference counterparts of such equations to provide exact or approximate solutions. We mention the reduction methods for establishing exact solutions as solutions of lower-dimensional equations.
This Special Issue will accept high-quality papers with original research results in theoretical research, and recent progress in the study of applied problems in science and technology.
Dr. Omar Bazighifan
Prof. Dr. Marin Marin
Guest Editors
Manuscript Submission Information
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Keywords
- Symmetry operators
- Mathematical modeling techniques
- Qualitative properties of solutions
- Oscillation theory
- Delay differential equations
- Ordinary differential/ difference equations
- Partial/Functional equations
- Fractional differential and integral calculus
- Applications
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