Behavior of solutions of a third-order dynamic equation on time scales

M Şenel
2013 Journal of Inequalities and Applications  
In this paper, we will establish some sufficient conditions which guarantee that every solution of the third-order nonlinear dynamic equation (r 1 (t)(r 2 (t)x (t)) ) + P(t, x(t), x (t)) + F(t, x(t)) = 0 oscillates or converges to zero on an arbitrary time scale T.
doi:10.1186/1029-242x-2013-47 fatcat:7mvennn6urfb5p5pxwqw3dleja