Fields of Interest.
- Functional differential and difference equations (delay and neutral delay equations).
- Partial differential and difference equations,
- Qualitative analysis of mathematical models in Biology, Ecology, Economy and Medicine, etc.
- Dynamic equations on time scales.
- Number Theory.
- Boundary value problems.
- Q-Calculus.
Summary of Studies
· Oscillation and stability theory of differential and partial differential equations,
· Oscillation and stability theory of difference and partial difference equations,
· Periodicity of non-autonomous delay difference equations and applications,
· Dynamics of nonlinear delay continuous and discrete mathematical models in Biology, Ecology, Medicines, Economics, etc. (oscillation, boundedness, permanence, periodicity, persistence, stability, global attractivity).
· Oscillation and periodicity theory of dynamic equations, delay dynamic equations and neutral delay dynamic equations on time scales.
· Oscillation theory of q-differential-difference equations
