On Properties of Third-Order Differential Equations via Comparison Principles

Joint Authors

Baculíková, B.
Džurina, J.

Source

International Journal of Mathematics and Mathematical Sciences

Issue

Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-10, 10 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2012-07-26

Country of Publication

Egypt

No. of Pages

10

Main Subjects

Mathematics

Abstract EN

The objective of this paper is to offer sufficient conditions for certain asymptotic properties of the third-order functional differential equation [r(t)[x′(t)]γ]′′+p(t)x(τ(t))=0, where studied equation is in a canonical form, that is, ∫∞r-1/γ(s)ds=∞.

Employing Trench theory of canonical operators, we deduce properties of the studied equations via new comparison theorems.

The results obtained essentially improve and complement earlier ones.

American Psychological Association (APA)

Baculíková, B.& Džurina, J.. 2012. On Properties of Third-Order Differential Equations via Comparison Principles. International Journal of Mathematics and Mathematical Sciences،Vol. 2012, no. 2012, pp.1-10.
https://search.emarefa.net/detail/BIM-512834

Modern Language Association (MLA)

Baculíková, B.& Džurina, J.. On Properties of Third-Order Differential Equations via Comparison Principles. International Journal of Mathematics and Mathematical Sciences No. 2012 (2012), pp.1-10.
https://search.emarefa.net/detail/BIM-512834

American Medical Association (AMA)

Baculíková, B.& Džurina, J.. On Properties of Third-Order Differential Equations via Comparison Principles. International Journal of Mathematics and Mathematical Sciences. 2012. Vol. 2012, no. 2012, pp.1-10.
https://search.emarefa.net/detail/BIM-512834

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-512834