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Oscillation criteria for second-order nonlinear dynamic equations on time scales - MaRDI portal

Oscillation criteria for second-order nonlinear dynamic equations on time scales (Q1938291)

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scientific article; zbMATH DE number 6134159
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Oscillation criteria for second-order nonlinear dynamic equations on time scales
scientific article; zbMATH DE number 6134159

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    Oscillation criteria for second-order nonlinear dynamic equations on time scales (English)
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    4 February 2013
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    Summary: This paper is concerned nonlinear dynamic equations of the form \[ (r(t)((y(t) + p(t)y(\tau(t)))^\Delta)\gamma)^\Delta + f_1(t, y(\delta_1(t))) + f_2(t, y(\delta_2(t))) = 0 \] 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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