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Nonoscillation criteria for second-order half-linear differential equations - MaRDI portal

Nonoscillation criteria for second-order half-linear differential equations (Q1904517)

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scientific article; zbMATH DE number 828426
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Nonoscillation criteria for second-order half-linear differential equations
scientific article; zbMATH DE number 828426

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    Nonoscillation criteria for second-order half-linear differential equations (English)
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    29 August 1996
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    The authors depict two nonoscillatory characterizations of solutions of the equation: \[ [p(t) |y' |^{\alpha - 1} y']' + q(t) |y |^{\alpha - 1} y = 0, \qquad \alpha > 0, \] and further obtain some sufficient conditions for all solutions to be oscillatory (nonoscillatory).
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    nonoscillatory
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    oscillatory
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