A stability result for the solutions of a certain system of third-order differential equations

Stability Results for the Solutions of Certain Non-Autonomous Differential Equations of Fifth -Order

“…Then, in 1995, Abou-El-Ela and Sadek [1] proved a theorem on the stability of the solutions of a nonlinear differential equation as follows:…”

Stability and Boundedness Results for Solutions of Certain Third Order Nonlinear Vector Differential Equations

“…Besides these works, in 1985, Abou-El-Ela [16] gave sufficient conditions that ensure that all solutions of real vector differential equations of the forṁẌ…”

“…One may refer to [1], for a survey, as well as [2][3][4][5][6][7][8][9][10][11][12][13][14][15] and the references quoted therein for some publications on these topics. However, according to our observations in the relevant literature, only a few researches (see [16][17][18][19][20][21][22][23][24][25]), have been carried out about the stability, boundedness of solutions and the existence of periodic solutions of third order nonlinear vector differential equations of the forṁẌ…”

Result on the Convergence Behavior of Solutions of Certain System of Third-Order Nonlinear Differential Equations

“…So far in the literature, much attention has been drawn to the boundedness of solutions of ordinary scalar and vector nonlinear differential equations of third order. The book of Reissig et al [1], the papers by Abou-El-Ela [2], Afuwape [3] [4], Chukwu [5], Ezeilo [6], Ezeilo and Tejumola [7], Meng [8], Omeike [9], Omeike and Afuwape [10], Tiryaki [11], Tunc [12] [13], Tunc and Ates [14], Tunc and Mohammed [15] and the references cited therein have comprehensive treatment of the subject. Throughout the results present in the book of Reissig et al [1] and the papers mentioned above, Lyapunov's second (direct) method has been used as a basic tool to verify the results established in these works.…”