Interval oscillation criteria for damped second-order delay differential equations with nonlinearities given by Riemann-Stieltjes integral (Q2113740)

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scientific article; zbMATH DE number 7488798
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Interval oscillation criteria for damped second-order delay differential equations with nonlinearities given by Riemann-Stieltjes integral
scientific article; zbMATH DE number 7488798

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    Interval oscillation criteria for damped second-order delay differential equations with nonlinearities given by Riemann-Stieltjes integral (English)
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    14 March 2022
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    Summary: The purpose of this paper is to investigate the oscillatory behaviour of certain types of damped second-order forced delay differential equations with nonlinearities given by Riemann-Stieltjes integral. By using the Riccati transformation, some inequalities and integral averaging technique, interval oscillation criteria of both El-Sayed type and Kong type are established. Finally, two examples are presented to illustrate the theoretical results.
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    interval criteria
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    oscillation
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    delay differential equation
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    damping term
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    Riemann-Stieltjes integral
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