Oscillatory and asymptotic behavior of solutions of third order neutral dynamic equations on time scales

In this thesis study, firstly the basic definitions, theorems and results related to third order ordinary and functional differential equations and time scale calculus have been dwelled on. In addition, applications of these equations in various branches of science have given. Next, a class of nonlinear neutral dynamic equations and a class of nonlinear neutral dynamic equations with distributed deviating arguments on time scales have been considered and new results concerning the oscillation and asymptotic behavior of the solutions of these equations have been established. Significance and applicability of the results obtained are explained by examples built on different time scales.