New Inequalities of Opial's Type on Time Scales and Some of Their Applications

Author

Saker, Samir H.

Source

Discrete Dynamics in Nature and Society

Issue

Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-23, 23 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2012-05-22

Country of Publication

Egypt

No. of Pages

23

Main Subjects

Mathematics

Abstract EN

We will prove some new dynamic inequalities of Opial's type on time scales.

The results not only extend some results in the literature but also improve some of them.

Some continuous and discrete inequalities are derived from the main results as special cases.

The results will be applied on second-order half-linear dynamic equations on time scales to prove several results related to the spacing between consecutive zeros of solutions and the spacing between zeros of a solution and/or its derivative.

The results also yield conditions for disfocality of these equations.

American Psychological Association (APA)

Saker, Samir H.. 2012. New Inequalities of Opial's Type on Time Scales and Some of Their Applications. Discrete Dynamics in Nature and Society،Vol. 2012, no. 2012, pp.1-23.
https://search.emarefa.net/detail/BIM-465997

Modern Language Association (MLA)

Saker, Samir H.. New Inequalities of Opial's Type on Time Scales and Some of Their Applications. Discrete Dynamics in Nature and Society No. 2012 (2012), pp.1-23.
https://search.emarefa.net/detail/BIM-465997

American Medical Association (AMA)

Saker, Samir H.. New Inequalities of Opial's Type on Time Scales and Some of Their Applications. Discrete Dynamics in Nature and Society. 2012. Vol. 2012, no. 2012, pp.1-23.
https://search.emarefa.net/detail/BIM-465997

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-465997