• B.Kamaraj

This paper presents the oscillation criteria for the equation D(a3(n)∆(a2(n)∆(a1(n)∆y(n)))) + q(n)yα(n − k) = 0, (E) where n∑=n0 1 < ∞, a3(n) n∑=n0 1 = ∞ and a2(n) n∑=n0 1 < ∞. a1(n) First, we transform the equation (E) into a canonical type equation, which reduced the set of nonoscillatory solution of (E) into two types instead of six. Therefore, the investigation of finding oscillation criteria become easy since we have to eliminate only two set of nonoscillatory solutions. Hence the results obtained hence are new complement to existing result. 2020 Mathematics Subject Classification: 34C10, 34K11.

Third-order, delay differential equation, oscillation, semi-canonical

"Oscillation of Fourth-Order Nonlinear Semi-canonical Difference Equations", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.6, Issue 2, page no.124-132, February-2019, Available :http://www.jetir.org/papers/JETIR1902H21.pdf

"Oscillation of Fourth-Order Nonlinear Semi-canonical Difference Equations", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.6, Issue 2, page no. pp124-132, February-2019, Available at : http://www.jetir.org/papers/JETIR1902H21.pdf