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Asymptotic and oscillatory behavior of solutions of general nonlinear difference equations of second order
Authors:E. Thandapani  S. Pandian
Abstract:The asymptotic and oscillatory behavior of solutions of some general second-order nonlinear difference equations of the form
δ(anh(yn+1yn)+pnδyn+qn+1f(yσ(n+1))=0 nZ,
is studied. Oscillation criteria for their solutions, when “pn” is of constant sign, are established. Results are also presented for the damped-forced equation
δ(anh(yn+1yn)+pnδyn+qn+1f(yσ(n+1))=en nZ.
Examples are inserted in the text for illustrative purposes.
Keywords:Asymptotic behavior   Difference equations   Oscillation   Delay arguments
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