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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,
where
∞ ∑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.

Author(s) Details

S. Kaleeswari
Department of Mathematics, Nallamuthu Gounder Mahalingam College, Bharathiar University, Coimbatore, Tamil Nadu, India.

B. Selvaraj
Department of Science and Humanities, Nehru Institute of Engineering and Technology, T. M. Palayam, Coimbatore, Tamil Nadu, India.

View Book - http://bp.bookpi.org/index.php/bpi/catalog/book/153

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