Oscillatory Behavior of Second-Order Half-Linear Damped Dynamic Equations

Ravi P. Agarwal; Martin Bohner; Tongxing Li

doi:10.1016/j.amc.2014.12.091

Oscillatory Behavior of Second-Order Half-Linear Damped Dynamic Equations

Ravi P. Agarwal
, Martin Bohner
, Tongxing Li

Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

Abstract

By refining the generalized Riccati transformation technique, we obtain new oscillation criteria for a class of second-order half-linear delay dynamic equations with damping on a time scale. Assumptions in our theorems are less restrictive, these results complement and improve related contributions to the subject. In particular, the results obtained amend related results reported in the literature.

Original language	American English
Journal	Applied Mathematics and Computation
Volume	254
DOIs	https://doi.org/10.1016/j.amc.2014.12.091
State	Published - Mar 1 2015

Keywords

Damping
Damping terms
Delay dynamic equation
Difference equations
Linear transformations
Mathematical transformations
Nonlinear equations
Oscillatory solutions
Riccati equations
Second-order equation
Time scale
Time-scales

Disciplines

Mathematics
Statistics and Probability

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https://doi.org/10.1016/j.amc.2014.12.091

Cite this

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title = "Oscillatory Behavior of Second-Order Half-Linear Damped Dynamic Equations",

abstract = " By refining the generalized Riccati transformation technique, we obtain new oscillation criteria for a class of second-order half-linear delay dynamic equations with damping on a time scale. Assumptions in our theorems are less restrictive, these results complement and improve related contributions to the subject. In particular, the results obtained amend related results reported in the literature.",

keywords = "Damping, Damping terms, Delay dynamic equation, Difference equations, Linear transformations, Mathematical transformations, Nonlinear equations, Oscillatory solutions, Riccati equations, Second-order equation, Time scale, Time-scales",

author = "Agarwal, \{Ravi P.\} and Martin Bohner and Tongxing Li",

year = "2015",

month = mar,

day = "1",

doi = "10.1016/j.amc.2014.12.091",

language = "American English",

volume = "254",

journal = "Applied Mathematics and Computation",

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T1 - Oscillatory Behavior of Second-Order Half-Linear Damped Dynamic Equations

AU - Agarwal, Ravi P.

AU - Bohner, Martin

AU - Li, Tongxing

PY - 2015/3/1

Y1 - 2015/3/1

N2 - By refining the generalized Riccati transformation technique, we obtain new oscillation criteria for a class of second-order half-linear delay dynamic equations with damping on a time scale. Assumptions in our theorems are less restrictive, these results complement and improve related contributions to the subject. In particular, the results obtained amend related results reported in the literature.

AB - By refining the generalized Riccati transformation technique, we obtain new oscillation criteria for a class of second-order half-linear delay dynamic equations with damping on a time scale. Assumptions in our theorems are less restrictive, these results complement and improve related contributions to the subject. In particular, the results obtained amend related results reported in the literature.

KW - Damping

KW - Damping terms

KW - Delay dynamic equation

KW - Difference equations

KW - Linear transformations

KW - Mathematical transformations

KW - Nonlinear equations

KW - Oscillatory solutions

KW - Riccati equations

KW - Second-order equation

KW - Time scale

KW - Time-scales

UR - https://scholarsmine.mst.edu/math_stat_facwork/904

UR - https://doi.org/10.1016/j.amc.2014.12.091

U2 - 10.1016/j.amc.2014.12.091

DO - 10.1016/j.amc.2014.12.091

M3 - Article

VL - 254

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

ER -

Oscillatory Behavior of Second-Order Half-Linear Damped Dynamic Equations

Abstract

Keywords

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