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Oscillation of Forced Nonlinear Neutral Delay Difference Equations of First Order

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Abstract

Necessary and sufficient conditions are obtained for every solution of

$$\Delta \left( {y_n + p_n y_n - m} \right) \pm q_n G(y_n - k) = f_n $$

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.

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Authors and Affiliations

  1. Department of Mathematics, Berhampur University, 760 007, Berhampur, India

    N. Parhi & A. K. Tripathy

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  1. N. Parhi
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  2. A. K. Tripathy
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Parhi, N., Tripathy, A.K. Oscillation of Forced Nonlinear Neutral Delay Difference Equations of First Order. Czechoslovak Mathematical Journal 53, 83–101 (2003). https://doi.org/10.1023/A:1022975525370

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  • DOI: https://doi.org/10.1023/A:1022975525370

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