# List of Topics

**Potential topics are:**

- Spectral theory
- Approximation theory
- Operator theory
- Potential theory
- Oscillation theory
- Asymptotical Methods
- Geometry of Banach spaces
- Orthogonal series
- Orthogonal polynomials
- Summability
- Statistical summability and statistical approximation
- Sequence spaces and fuzzy sequence spaces
- Topological properties of the matrix domains
- Integral equations and integral transforms
- Perturbation methods
- Functional analysis
- Harmonic analysis
- Wavelet analysis
- Numerical functional analysis and applications
- Computational methods in partial differential equations
- Scientific Computing
- Problems involving operators with nonlocal boundary conditions
- Equations of gas and hydrodynamics
- Local and nonlocal boundary value problems for partial differential equations
- Nonlinear stochastic processes and stochastic differential equations
- Stochastic partial differential equations and applications
- Impulsive and functional differential equations
- Financial mathematics
- Navier-Stokes problems
- Ill-posed problems
- Inverse problems
- Reaction-Diffusion equations and systems
- Fractional differential equations and applications
- Mathematical and computer modelling
- Modelling social and economic systems
- Time neural networks and their stability
- Dynamic equations on time scales
- Oscillatory behaviour on time scales
- Optimization