Properties of an Unbounded Solutions of a Fourth Order Neutral Dynamic Equations

Ramireddy Pasupula

Properties of an Unbounded Solutions of a Fourth Order Neutral Dynamic Equations

Author : Ramireddy Pasupula Journa Name: International Journal of Science, Engineering and Technology Volume: 14 issue: 2 Year: Volume-14-issue-2 Views : 186

Abstract:

In this paper, the author studied, the properties of an unbounded solutions of a class of fourth order dynamic equation of the form\n(r(t) (x(t)+p(t)x(?(t)))^(?^2 ) )^(?^2 )+g(t)G(x(?(t)))-h(t)H(x(?(t)))=0 (H)\nfor ?t?[t_0,? ? ?)?_T where ? is a time scale with?sup??T=+??,t_0 (?0)?T are studied under the assumption\nH_0 ?_(t_0)^???t/(r(t)) ?t=? ?and ((?H_0?^\' ?_(t_0)^???t/r(t) ?t