Asymptotic behavior of solutions of third-order nonlinear dynamic equations on time scales
Journal of Computational and Applied Mathematics
Asymptotic behavior of solutions of a third-order nonlinear dynamic equation on time scales
Journal of Computational and Applied Mathematics
Oscillation and nonoscillation criteria for linear dynamic systems on time scales
Computers & Mathematics with Applications
Oscillation of third order nonlinear delay dynamic equations on time scales
Mathematical and Computer Modelling: An International Journal
| Hi-index | 7.31 |
In this paper, the well known oscillation criteria due to Hille and Nehari for second-order linear differential equations will be generalized and extended to the third-order nonlinear dynamic equation (r"2(t)((r"1(t)x^@D(t))^@D)^@c)^@D+q(t)f(x(t))=0 on time scale T, where @c=1 is a ratio of odd positive integers. Our results are essentially new even for third-order differential and difference equations, i.e., when T=R and T=N. Two examples of dynamic equations on different time scales are given to show the applications of our main results.