Oscillation Criteria for aaaa Class of Third Order Functional Dynamic Equations on Time Scales

摘要

In this paper, we establish some new oscillation criteria for the third order functional dynamic equations(a(t)[(r(t)(x△(t))α)△]β)△+f(t,x(g(t)))=0 on a time scale Τ , where α and β are a quotient of odd positive integers, a and r are positive rdcontinuous functions defined on Τ , and the function g:Τ→Τ satisfies limt→∞ and f∈C(T×R,R).Our results in this paper extend some known results.