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Advances in difference equations IIAsymptotic and oscillatory behavior of solutions of general nonlinear difference equations of second order

E. Thandapani - No affiliation found

1998/11/01 Full-length article DOI: 10.1016/S0898-1221(98)80042-4 Journal: Computers & Mathematics with Applications

Abstract:

AbstractThe asymptotic and oscillatory behavior of solutions of some general second-order nonlinear difference equations of the form Δ(anh(yn+1)Δyn)+pnΔyn+qn+1f(yσ(n+1))=0,n∈Z 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+1)Δyn)+pnΔyn+qn+1f(yσ(n+1))=en,n∈ZExamples are inserted in the text for illustrative purposes.