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Interval oscillation criteria for second-order forced functional dynamic equations on time scales - MaRDI portal

Interval oscillation criteria for second-order forced functional dynamic equations on time scales (Q2321478)

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Interval oscillation criteria for second-order forced functional dynamic equations on time scales
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    Interval oscillation criteria for second-order forced functional dynamic equations on time scales (English)
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    23 August 2019
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    Summary: This paper is concerned with oscillation of second-order forced functional dynamic equations of the form \((r(t)(x^{\Delta}(t))^\gamma)^{\Delta} + \sum_{i = 0}^n q_i(t) | x(\delta_i(t)) |^{\alpha_i} \operatorname{sgn} x(\delta_i(t)) = e(t)\) on time scales. By using a generalized Riccati technique and integral averaging techniques, we establish new oscillation criteria which handle some cases not covered by known criteria.
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