SURVEY ON QUALITATIVE THEORY OF DYNAMIC EQUATIONS ON TIME SCALE

Publications

SURVEY ON QUALITATIVE THEORY OF DYNAMIC EQUATIONS ON TIME SCALE

Year : 2021

Publisher : A. Razmadze Mathematical Institute of Iv. Javakhishvili Tbilisi State University

Source Title : Memoirs on Differential Equations and Mathematical Physics

Document Type :

Abstract

The qualitative theory of dynamic equation on time scale has received lots of attention from researchers due to its applicability to various fields. One of the most important aspects is that it unifies the theory of difference equations, differential equations, quantum calculus, and several others. In this article, we discuss the development of this theory along with the main emphasis on a second order dynamic equation. The qualitative properties, especially development in the oscillation theory of such equations, are discussed in detail. Several examples are provided for a better understanding of this topic.