OSCILLATION THEOREMS FOR A CLASS OF SECOND ORDER NONLINEAR DIFFERENTIAL EQUATIONS WITH DAMPING

Yuri V. Rogovchenko; Fatoş Tuncay

doi:10.11650/twjm/1500405648

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Home > Journals > Taiwanese J. Math. > Volume 13 > Issue 6B > Article

2009 OSCILLATION THEOREMS FOR A CLASS OF SECOND ORDER NONLINEAR DIFFERENTIAL EQUATIONS WITH DAMPING

Yuri V. Rogovchenko, Fatoş Tuncay

Taiwanese J. Math. 13(6B): 1909-1928 (2009). DOI: 10.11650/twjm/1500405648

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Abstract

For a class of second order nonlinear differential equations with damping, efficient oscillation criteria are derived by refining the standard integral averaging technique. Examples are provided to illustrate the relevance of new theorems.

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Yuri V. Rogovchenko. Fatoş Tuncay. "OSCILLATION THEOREMS FOR A CLASS OF SECOND ORDER NONLINEAR DIFFERENTIAL EQUATIONS WITH DAMPING." Taiwanese J. Math. 13 (6B) 1909 - 1928, 2009. https://doi.org/10.11650/twjm/1500405648

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Published: 2009

First available in Project Euclid: 18 July 2017

zbMATH: 1208.34041

MathSciNet: MR2583528

Digital Object Identifier: 10.11650/twjm/1500405648

Subjects:

Primary: 34C10

Keywords: alternating coefficients , asymptotic behavior , damping term , integral averaging , Nonlinear differential equations , oscillatory solutions , second order

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Taiwanese J. Math.

Vol.13 • No. 6B • 2009

Mathematical Society of the Republic of China

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Yuri V. Rogovchenko, Fatoş Tuncay "OSCILLATION THEOREMS FOR A CLASS OF SECOND ORDER NONLINEAR DIFFERENTIAL EQUATIONS WITH DAMPING," Taiwanese Journal of Mathematics, Taiwanese J. Math. 13(6B), 1909-1928, (2009)

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