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Interval oscillation criteria for second-order damped differential equations with mixed nonlinearities - MaRDI portal

Interval oscillation criteria for second-order damped differential equations with mixed nonlinearities (Q310686)

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scientific article; zbMATH DE number 6625439
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Interval oscillation criteria for second-order damped differential equations with mixed nonlinearities
scientific article; zbMATH DE number 6625439

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    Interval oscillation criteria for second-order damped differential equations with mixed nonlinearities (English)
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    8 September 2016
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    This paper deals with the second order differential equation of the form \[ \left( r(t)(x'(t))^{\gamma }\right)'+p(t)(x'(t))^{\gamma }+\sum \limits_{i=0}^{n}q_{i}(t)\left | x(g_{i}(t))\right | ^{\alpha _{i}}\mathrm{sgn }x(g_{i}(t))=e(t). \] Using the Riccati transformation technique and inequalities, some interval oscillation criteria are established.
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    interval criteria
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    oscillation
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    second-order
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    damped differential equation
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