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In this article, we will discuss the application of the Lyapunov’s second method and fixed point theories to certain differential equations of first and second order. First, we will introduce some basic information about these subjects, and later, we give their applications concerning some specific attitude of Solutions of Delay Differential Equations. We will also do a comparison between them. Include keywords, mathematical subject classification numbers as needed. c ©2019 All rights reserved.

A comparison between applications of the Lyapunov’s second (direct) method and ﬁxed point theory