Oscillation of second-order strongly superlinear and strongly sublinear dynamic equations

We establish some new criteria for the oscillation of second-order nonlinear dynamic equations on a time scale. We study the case of strongly superlinear and the case of strongly sublinear equations subject to various conditions.

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Bibliographic Details
Published inCommunications in nonlinear science & numerical simulation Vol. 14; no. 8; pp. 3463 - 3471
Main Authors Grace, Said R., Agarwal, Ravi P., Bohner, Martin, O’Regan, Donal
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.08.2009
Subjects
Computer simulation
Criteria
Dynamic equation
Mathematical analysis
Mathematical models
Nonlinear
Nonlinear dynamics
Nonlinearity
Oscillation
Oscillations
Sublinear
Superlinear
Time scale
02.70.Bf
Nonlinear
39A10
34C10
Sublinear
Oscillation
02.60.Lj
02.30.Ks
Time scale
02.30.Hq
Superlinear
Dynamic equation
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Summary:We establish some new criteria for the oscillation of second-order nonlinear dynamic equations on a time scale. We study the case of strongly superlinear and the case of strongly sublinear equations subject to various conditions.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:1007-5704
1878-7274
DOI:10.1016/j.cnsns.2009.01.003