Kamenev-Type Oscillation Criteria for the Second-Order Nonlinear Dynamic Equations with Damping on Time Scales

Author

Şenel, M. Tamer

Source

Abstract and Applied Analysis

Issue

Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-18, 18 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2012-06-25

Country of Publication

Egypt

No. of Pages

18

Main Subjects

Mathematics

Abstract EN

The oscillation of solutions of the second-order nonlinear dynamic equation (r(t)(xΔ(t))γ)Δ+p(t)(xΔ(t))γ+f(t,x(g(t)))=0, with damping on an arbitrary time scale T, is investigated.

The generalized Riccati transformation is applied for the study of the Kamenev-type oscillation criteria for this nonlinear dynamic equation.

Several new sufficient conditions for oscillatory solutions of this equation are obtained.

American Psychological Association (APA)

Şenel, M. Tamer. 2012. Kamenev-Type Oscillation Criteria for the Second-Order Nonlinear Dynamic Equations with Damping on Time Scales. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-18.
https://search.emarefa.net/detail/BIM-457633

Modern Language Association (MLA)

Şenel, M. Tamer. Kamenev-Type Oscillation Criteria for the Second-Order Nonlinear Dynamic Equations with Damping on Time Scales. Abstract and Applied Analysis No. 2012 (2012), pp.1-18.
https://search.emarefa.net/detail/BIM-457633

American Medical Association (AMA)

Şenel, M. Tamer. Kamenev-Type Oscillation Criteria for the Second-Order Nonlinear Dynamic Equations with Damping on Time Scales. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-18.
https://search.emarefa.net/detail/BIM-457633

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-457633