Cover Image

Oscillation criteria for nonlinear second-order differential equations with damping

Some new oscillation criteria are given for general nonlinear second-order ordinary differential equations with damping of the form x?+?p?(?t?)?x?+?q?(?t?)?f?(?x?) = 0, where f is monotone or nonmonotone. Our results generalize and extend some earlier results of Deng.

Saved in:

Bibliographic Details
Date:	2008
Main Authors:	Çakmak, D., Чакмак, Д.
Format:	Article
Language:	English
Published:	Institute of Mathematics, NAS of Ukraine 2008
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/3186
Tags:	Add Tag No Tags, Be the first to tag this record!
Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
Download file:

Institution

Ukrains’kyi Matematychnyi Zhurnal

Similar Items

Oscillation criteria for nonlinear second-order differential equations with damping
by: Çakmak, D.
Published: (2008)

Interval Oscillation Criteria for Second-Order Nonlinear Differential Equations
by: Wan-Tong Li, et al.
Published: (2001)

Interval Oscillation Criteria for Second-Order Nonlinear Differential Equations
by: Agarwal, P., et al.
Published: (2001)

Oscillation criteria for certain second-order superlinear differential equations
by: A. Tiryaki, et al.
Published: (2014)

Oscillation criteria for certain second order superlinear differential equations
by: Tiryaki, A., et al.
Published: (2014)

Oscillation criteria for higher order nonlinear functional differential equations with advanced argument
by: R. Koplatadze
Published: (2013)

Oscillation criteria for higher order nonlinear functional differential equations with advanced argument
by: Koplatadze, R.
Published: (2013)

Behavior of solutions of second order differential equations with sublinear damping
by: Karsai, J., et al.
Published: (2005)

Oscillation of solutions of second order nonlinear functional differential equations of neutral type
by: Ivanov, A.F., et al.
Published: (1991)

On oscillation of solutions of second order nonlinear difference equations
by: Koplatadze, R., et al.
Published: (2012)

Existence criteria and asymptotics for some classes of solutions of essentially nonlinear second-order differential equations
by: Evtukhov, V. M., et al.
Published: (2011)

Multilayer structures of second-order linear differential equations of Euler type and their application to nonlinear oscillations
by: Yamaoka, N., et al.
Published: (2006)

Multilayer structures of second-order linear differential equations of Euler type and their application to nonlinear oscillations
by: Sugie, J., et al.
Published: (2006)

Oscillation criteria for second-order quasilinear neutral functional dynamic equation on time scales
by: Saker, S.H.
Published: (2010)

Wong’s oscillation theorem for second-order delay differential equations
by: Özbekler, A., et al.
Published: (2016)

Oscillation and nonoscillation of second order half-linear differential equations
by: Yong Zhou, et al.
Published: (2012)

Oscillation of second order nonlinear impulsive difference equations with continuous variables
by: F. Karakoç
Published: (2013)

Oscillation of second order nonlinear impulsive difference equations with continuous variables
by: Karakoç, F.
Published: (2013)

Oscillation and nonoscillation criteria for a half-linear difference equation of the second order and extended discrete Hardy inequality
by: Kalybay, A., et al.
Published: (2022)

Some questions of the theory of oscillation (non-oscillation) of the solutions of second order delay differential equations
by: Shevelо, V. N., et al.
Published: (1971)

Oscillation and nonoscillation criteria for a half-linear difference equation of the second order and extended discrete Hardy inequality
by: A. Kalybay, et al.
Published: (2022)

Wong&#039;s oscillation theorem for second-order delay differential equations
by: A. Цzbekler, et al.
Published: (2016)

On conditions for oscillation and nonoscillation of the solutions of a semilinear second-order differential equation
by: Evtukhov, V. M., et al.
Published: (1994)

Oscillation criteria for nonlinear neutral hyperbolic equations with functional arguments
by: Shoukaku, Y., et al.
Published: (2011)

Second order nonlinear differential equations with an infinite set of periodic solutions
by: Kiguradze, I.T.
Published: (2008)

On the asymptotics of solutions of the second-order differential equations with rapidly varying nonlinearities
by: V. M. Yevtukhov, et al.
Published: (2021)

On the asymptotic of solutions of second-order differential equations with rapidly varying nonlinearities
by: V. M. Evtukhov, et al.
Published: (2019)

Asymptotic behavior of solutions of essentially nonlinear second order differential equations
by: E. S. Vladova
Published: (2016)

On the asymptotic of solutions of second-order differential equations with rapidly varying nonlinearities
by: Evtukhov, V. M., et al.
Published: (2019)

On the asymptotic of solutions of the second-order differential equations with rapidly varying nonlinearities
by: Evtukhov , V. M., et al.
Published: (2021)

Asymptotic splitting of systems of the second order differential equations with slowly varying and oscillating coefficients
by: Kuzma, N. G., et al.
Published: (1988)

Asymptotic representations of the solutions of essentially nonlinear nonautonomous second-order differential equations
by: Evtukhov, V. M., et al.
Published: (2008)

Asymptotics of solutions of the second-order differential equations with regularly and rapidly varying nonlinearities
by: V. M. Evtukhov, et al.
Published: (2018)

Asymptotic behavior of the solutions of second-order differential equations with rapidly varying nonlinearities
by: V. M. Evtukhov, et al.
Published: (2017)

Asymptotic Representations for the Solutions of One Class of Nonlinear Differential Equations of the Second Order
by: O. R. Shlepakov
Published: (2015)

Singular nonlinear eigenvalue problem for second order differential equation with energy dissipation
by: Parasyuk, I.O., et al.
Published: (2002)

Asymptotic Representations for the Solutions of One Class of Nonlinear Differential Equations of the Second Order
by: Shlepakov, O. R., et al.
Published: (2015)

Singular Nonlinear Eigenvalue Problem for One Class of Second-Order Differential Equations
by: Pozur, S. V., et al.
Published: (2003)

Asymptotic behavior of the solutions of second-order differential equations with rapidly varying nonlinearities
by: Evtukhov, V. M., et al.
Published: (2017)

Oscillation results for fourth order nonlinear neutral differential equations with positive and negative coefficients
by: Tripathy, A.K., et al.
Published: (2012)