Oscillation Criteria for Higher Order Nonlinear Functional Diﬀerence Equations: Critical Study | Chapter 8 | Recent Studies in Mathematics and Computer Science Vol. 1
In this chapter some criteria for the oscillation of high order functional diﬀerence equation of the form ∆2(r(n)[∆(m−2)y (n)]α)+ q (n)f [y (g (n))] = 0,
∞ ∑s =n0
r− 1 α (s) < ∞ and m > 1 is discussed. Examples are given to illustrate the results.
Keywords: Functional diﬀerence equation; Nonlinear; non-oscillation; oscillation.2010 Mathematics Subject Classiﬁcation: 39A10.
Department of Mathematics, Nallamuthu Gounder Mahalingam College, Bharathiar University, Coimbatore, Tamil Nadu, India.
Department of Science and Humanities, Nehru Institute of Engineering and Technology, T. M. Palayam, Coimbatore, Tamil Nadu, India.
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