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Cited by 8 publications
(9 citation statements)
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“…Differential equations of third order are valuable tools in the modeling of many phenomena in various fields of science and engineering (Chlouverakis and Sprott [1], Cronin-Scanlon [2], Eichhorn et al [3], Friedrichs [4], Linz [5], and Rauch [6]). In reality, the stability and boundedness of solutions of certain nonlinear differential equations of the third order have been received intensive attentions by authors (Ademola et al [7], Afuwape and Castellanos [8], Chukwu [9], Ezeilo ( [10,11]), Hara [12], Mehri and Shadman [13], Ogundare and Okecha [14], Omeike [15], Reissig et al [16], Swick [17], Tejumola ([18,19]), Tunç [20][21][22][23][24][25][26][27][28][29][30][31][32][33], and Yoshizawa [34]).…”
Section: Introductionmentioning
confidence: 99%
“…Differential equations of third order are valuable tools in the modeling of many phenomena in various fields of science and engineering (Chlouverakis and Sprott [1], Cronin-Scanlon [2], Eichhorn et al [3], Friedrichs [4], Linz [5], and Rauch [6]). In reality, the stability and boundedness of solutions of certain nonlinear differential equations of the third order have been received intensive attentions by authors (Ademola et al [7], Afuwape and Castellanos [8], Chukwu [9], Ezeilo ( [10,11]), Hara [12], Mehri and Shadman [13], Ogundare and Okecha [14], Omeike [15], Reissig et al [16], Swick [17], Tejumola ([18,19]), Tunç [20][21][22][23][24][25][26][27][28][29][30][31][32][33], and Yoshizawa [34]).…”
Section: Introductionmentioning
confidence: 99%
“…Many results relative to the stability, boundedness of solutions of third order differential equations with delays or without delays have been obtained (see Li [7] , Murakami [8] , Ademola et al [9] , Tunç and Ergören [10] , Tunç [11−13] and references therein). However, to the best of our knowledge, no authors have considered the boundedness of solutions of third order differential equations with multiple deviating arguments in non-Liapunov sense, in spite of the fact that some authors (see Afuwape and Castellanos [14] , Gao and Liu [15] , and Yu and Zhao [16] ) have obtained some results for the third order ones with a deviating argument and second order ones with multiple deviating arguments. Thus, it is worthwhile to continue to the investigation of the boundedness of solutions of (1.1) in this case.…”
Section: Introductionmentioning
confidence: 99%
“…During the last years, many good results have been obtained on the qualitative behaviors in ordinary and functional differential equations of third order without and with delay. In particular, for some works on the stability and boundedness in scalar ordinary and functional differential equations of third order without and with delay, we referee the interested reader to the papers of Ademola et al (2015), Ademola and Arawomo (2011), Afuwape and Castellanos (2010), , Graef and Tunc (2015), Mehri and Shadman (1999), Meng (1993), Omeike (2014), Omeike and Afuwape (2010), Qian (2000), Remili and Oudjedi (2014), Tunc (2004Tunc ( , 2005aTunc ( ,b,c, 2007Tunc ( , 2009aTunc ( ,b, 2010aTunc ( ,b, 2013aTunc ( ,b, 2014Tunc ( , 2015, Tunc and Mohammed (2014), Tunc and Ates ß (2006), Zhang and Yu (2013) and their references. However, to the best of our knowledge from the literature, by this time, little attention was given to the investigation into the stability/boundedness/ultimately boundedness in vector functional differential equations of third order with delay (see Tunc and Mohammed (2014)).…”
Section: Introductionmentioning
confidence: 99%