Differential and Difference Equations and Symmetry
A special issue of Symmetry (ISSN 2073-8994). This special issue belongs to the section "Mathematics".
Deadline for manuscript submissions: closed (31 March 2020) | Viewed by 14109
Special Issue Editors
Interests: singular integrals; pseudo-differential equations; boundary value problems; operator theory; Fourier analysis; computational mathematics
Special Issues, Collections and Topics in MDPI journals
Special Issues, Collections and Topics in MDPI journals
Interests: Hamiltonian systems; Sturm–Liouville equations; boundary value problems; difference equations; variational analysis; control theory; optimization; dynamical systems; oscillation; fractional differentiation equations; positivity; matrix analysis; eigenvalue problems; computational mathematics; time scales
Special Issues, Collections and Topics in MDPI journals
Special Issue Information
Dear Colleagues,
Differential and difference equations play an important role in many branches of mathematics, and they also often appear in other sciences. This fact leads us to more studying such equations and related boundary value problems in more detail, and a theory of solvability and (numerical) solutions for such equations are needed for distinct scientific groups.
Usually, one cannot find an exact solution for such equations, and one then needs to describe its qualitative properties in the appropriate functional spaces as well as to suggest a way of reducing the starting equation to a certain well known studied case, or to suggest some computational algorithm for the numerical solution. These studies are the intermediate points for solving equations.
There are a lot of methods for studying such problems in mathematics, as well as in the theory of differential and difference equations and boundary value problems. We hope this Issue will help mathematicians discover some new mathematical objects, approaches, and methods for their future works.
Symmetry ideas are often invisible in these studies, but they help us to decide on the right way to study them, and to show us the correct direction for future developments.
Prof. Vladimir B. Vasilyev
Prof. Josef Diblik
Prof. Martin Bohner
Guest Editors
Manuscript Submission Information
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Keywords
- Ordinary differential equation
- Partial differential equation
- Difference equation
- Symmetry
- Pseudo-differential operator
- Solvability
- Numerical analysis
- Approximation
- Fredholm properties
- Norm inequalities
- A priori estimates
- Stability
- Asymptotic properties
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