Displaying similar documents to “Linear recurrent sequences and powers of a square matrix.”

Oscillation of forced nonlinear neutral delay difference equations of first order

N. Parhi, Arun Kumar Tripathy (2003)

Czechoslovak Mathematical Journal

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Necessary and sufficient conditions are obtained for every solution of Δ ( y n + p n y n - m ) ± q n G ( y n - k ) = f n to oscillate or tend to zero as n → ∞ , where p n , q n and f n are sequences of real numbers such that q n ≥ 0 . Different ranges for p n are considered.

An extension of the method of quasilinearization

Tadeusz Jankowski (2003)

Archivum Mathematicum

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The method of quasilinearization is a well–known technique for obtaining approximate solutions of nonlinear differential equations. This method has recently been generalized and extended using less restrictive assumptions so as to apply to a larger class of differential equations. In this paper, we use this technique to nonlinear differential problems.

Oscillatory and asymptotic behaviour of perturbed quasilinear second order difference equations

Ethiraju Thandapani, L. Ramuppillai (1998)

Archivum Mathematicum

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This paper deals with oscillatory and asymptotic behaviour of solutions of second order quasilinear difference equation of the form Δ ( a n - 1 | Δ y n - 1 | α - 1 Δ y n - 1 ) + F ( n , y n ) = G ( n , y n , Δ y n ) , n ∈ N ( n 0 ) ( E ) where α > 0 . Some sufficient conditions for all solutions of (E) to be oscillatory are obtained. Asymptotic behaviour of nonoscillatory solutions of (E) are also considered.