“…In the last years, there has been increasing interest in obtaining the sufficient conditions for the stability/instability/ boundedness/ ultimately boundedness etc. The problem of the boundedness and stability of solutions of vector differential equations has been widely studied by many authors, who have provided many techniques especially for delay differential equations, for some related contributions, we refer the reader to Graef et al (2015a,b), Oudjedi et al (2014), Remili and Beldjerd (2014), Oudjedi (2014a,b, 2016a,b,c,d,e), Remili et al (2016), Tunc¸(2006a,b), Tunc¸and Go¨zen (2014), Zhengxin et al (2010aZhengxin et al ( ,b, 2015, Jinde (2005, 2007). In the following, we provide some background details regarding the study of various classes of third differential equations.…”