Delay Differential Equations: Theory, Application and Oscillation
Content of Research
Potential topics include but are not limited to the following:
(i) Development of novel theories or improvement to existing theories on delay differential equations;
(ii) Development of novel numerical approaches for delay differential equations;
(iii) Stability, sensitivity analysis and bifurcation analysis of time delay models;
(iv) Optimal control of nonlinear delay differential systems.
Innovations and Potential Applications
Shed light on many equations of fourth and higher order, through studying the oscillation of solutions of those equations by different methods and comparison of results, we will use some main techniques for finding the oscillation criteria, including the following:
-Riccatti transformation technique.
-New comparison principles .
-Integral averaging technique.