On the Periodic Solutions of Certain Nonlinear Third Order Differential Equations

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

“…In these works, the qualitative behaviors of solutions of third order nonlinear ordinary scalar differential equations of the form (1), namely, stability of solutions, instability of solutions, boundedness of solutions, existence of periodic solutions and boundary value problems have been studied extensively by the authors. 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…”