Browsing AURA by Author "Li, Tongxing"
Now showing items 1-10 of 10
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Asymptotic behavior of an odd-order delay differential equation
Li, Tongxing; Rogovchenko, Yuriy V. (Journal article; Peer reviewed, 2014)We study asymptotic behavior of solutions to a class of odd-order delay differential equations. Our theorems extend and complement a number of related results reported in the literature. An illustrative example is provided. -
Asymptotic behavior of higher-order quasilinear neutral differential equations
Li, Tongxing; Rogovchenko, Yuriy V. (Journal article; Peer reviewed, 2014)We study asymptotic behavior of solutions to a class of higher-order quasilinear neutral differential equations under the assumptions that allow applications to even- and odd-order differential equations with delayed and ... -
On the asymptotic behavior of solutions to a class of third-order nonlinear neutral differential equations
Li, Tongxing; Rogovchenko, Yuriy (Peer reviewed; Journal article, 2020)By using comparison principles, we analyze the asymptotic behavior of solutions to a class of third-order nonlinear neutral differential equations. Due to less restrictive assumptions on the coefficients of the equation ... -
On the asymptotic behavior of solutions to a class of third-order nonlinear neutral differential equations
Li, Tongxing; Rogovchenko, Yuriy (Peer reviewed; Journal article, 2020)By using comparison principles, we analyze the asymptotic behavior of solutions to a class of third-order nonlinear neutral differential equations. Due to less restrictive assumptions on the coefficients of the equation ... -
Oscillation criteria for even-order neutral differential equations
Li, Tongxing; Rogovchenko, Yuriy (Journal article; Peer reviewed, 2016) -
Oscillation of fourth-order quasilinear differential equations
Rogovchenko, Yuriy; Li, Tongxing; Zhang, Chengchui (Journal article; Peer reviewed, 2015) -
Oscillation of second-order neutral differential equations
Li, Tongxing; Rogovchenko, Yuriy V.; Zhang, Chenghui (Journal article; Peer reviewed, 2013)We study oscillatory behavior of a class of second-order neutral differential equations relating oscillation of these equations to existence of positive solutions to associated first-order functional differential inequalities. ... -
Oscillation results for second-order nonlinear neutral differential equations
Li, Tongxing; Rogovchenko, Yuriy V. (Journal article; Peer reviewed, 2013)We obtain several oscillation criteria for a class of second-order nonlinear neutral differential equations. New theorems extend a number of related results reported in the literature and can be used in cases where known ... -
Oscillation theorems for second-order nonlinear neutral delay differential equations
Li, Tongxing; Rogovchenko, Yuriy V. (Journal article; Peer reviewed, 2014)We analyze the oscillatory behavior of solutions to a class of second-order nonlinear neutral delay differential equations. Our theorems improve a number of related results reported in the literature. -
Oscillatory behavior of second-order nonlinear neutral differential equations
Li, Tongxing; Rogovchenko, Yuriy V. (Journal article; Peer reviewed, 2014)We study oscillatory behavior of solutions to a class of second-order nonlinear neutral differential equations under the assumptions that allow applications to differential equations with delayed and advanced arguments. ...