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Kamenev type oscillation criteria for Emden-Fowler nonlinear neutral dynamic equations - MaRDI portal

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Kamenev type oscillation criteria for Emden-Fowler nonlinear neutral dynamic equations (Q2864919)

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scientific article; zbMATH DE number 6233546
Language Label Description Also known as
English
Kamenev type oscillation criteria for Emden-Fowler nonlinear neutral dynamic equations
scientific article; zbMATH DE number 6233546

    Statements

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    26 November 2013
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    oscillation criteria
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    neutral dynamic equations
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    time scales
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    Kamenev type oscillation criteria for Emden-Fowler nonlinear neutral dynamic equations (English)
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    In this paper, the author considers the oscillatory behavior of the solutions of the second-order Emden-Fowler nonlinear neutral dynamic equation NEWLINE\[NEWLINE\Big(a(t)\big(x(t)+p(t)x(\tau(t))\big)^\Delta\Big)^\Delta+q(t)x^\gamma(\delta(t))=0NEWLINE\]NEWLINE on an arbitrary time scale \(\mathbb{T}\).NEWLINENEWLINEThe author applies Riccati transformation techniques and Schwarz inequality to study the oscillatory behavior of the solutions, and establishes some new criteria for it.NEWLINENEWLINECompared with previous studies, in this paper, the author is concerned with neutral type dynamic equations.
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